[53] [55] NS5. (singlet) non-singlet non-singlet singlet Calogero conformal block. Taormina Durham. non-singlet sensible Boson Γ(2)

Transcript

1 D [53] β 2 CFT [30] [55] T 0 NS5 1 (singlet) Taormina Durham non-singlet non-singlet singlet Calogero conformal block non-singlet sensible Boson Γ(2) [3, 96] 4 N = 4 ( small and large ) 1/2 BPS c = 1 N=4 [2, 70, 75] [32] D D D M (non-commutative space) 2 3 (non-associative space) Pei-Ming Ho ( ) 2 SL(2, R)/U(1) D (UV/IR 2 ) S.-J. Rey ( ) [18] - 11 [19]

2 2 4 N = 1 Sp(p + M) Sp(p) ( ) [17] [1, 58, 59] [52] SCFT SCFT SCFT Kapustin-Witten 4 N = 2 Hitchin Beilinson- 1 conifold AdS/CFT Drinfeld del Pezzo [20] ADE N closed Gromov-Witten maximal angular momentum bound [61][90] open Gromov-Witten [114] N = 1 4 SCFT AdS/CFT a Benvenuti Pisa Pando Zayas Michigan D -Einstein AdS/CFT D [33, 69] AdS 4 SCFT a- (CFT) AdS/CFT [54] Wilson IHES 4 / N = 4 SCFT t Hooft coupling Wilson [31] D1 D5 SCFT AdS 3 S 3 AdS/CFT 4 D1-D5 SCFT AdS 4 N = 1 SCFT AdS/CFT Raeymaekers K.P. Yogendran ( ) 2 AdS 3 S 3 BPS D Spin(10) worldvolume AdS 3 AdS 2 a-maximization [27, 51, 60] Raeymaekers S 3 S 2 BPS AdS/CFT [28] Aganagic, Neitzke Vafa / D Ooguri- Strominger-Vafa

3 Bethe D1-D5 S-dual F1-NS5 giant graviton BMN defect CFT [56] IIB AdS S 1/2 BPS 2 fermion droplet Lin-Lunin-Maldacena 4 N = 1 SCFT AdS/CFT D5- AdS NS5-4 N = 4 AdS BPS AdS R (SYM) AdS/CFT [16, 15, 82, 111] N = 1 SCFT BMN exactly marginal 1+1 [14, 78, 66, 106, 112, 104] S TeV Dorey Chen Cambridge U., DAMTP [23, 24, 26][85, 44, 49, 39, 94, 67, 101, 108] R S 3 AdS 5 S 5 sine-gordon dyonic giant magnon ( ) SYM magnon magnon S sine-gordon helical [25][86, 45, 50, 92, 40, 95, 64, 102, 109] folded circular (dyonic) giant magnon (SUSY-FCNC ) AdS/CFT AdS/CFT SYM ( ) Berenstein SYM 100TeV [9][100, 107, 96] DESY KEK Bethe moduli-induced BMN gravitino problem)[6, 7] giant graviton D3-D5 [22] Lightest SUSY Particle (LSP)

4 4 Next-to-LSP (NLSP) [4] W. Buchmuller, K. Hamaguchi, M. Ibe and T. T. Yanagida, Eluding the BBN constraints on Buchmüller (DESY) the stable gravitino, Phys. Lett. B 643 (2006) O( ) 124. T = O(GeV) O(MeV) [5] W. Buchmuller, L. Covi, K. Hamaguchi, A. Ibarra [4] and T. Yanagida, Gravitino dark matter in R- Buchmüller, Covi, Ibarra parity breaking vacua, JHEP 0703 (2007) 037. (DESY) R-parity [6] M. Endo, K. Hamaguchi and F. Takahashi, Moduli-induced gravitino problem, Phys. Rev. [5] Lett. 96 (2006) LSP [7] M. Endo, K. Hamaguchi and F. Takahashi, Moduli / inflaton mixing with supersymmetry breaking NLSP NLSP field, Phys. Rev. D 74 (2006) [8] K. Hamaguchi, M. M. Nojiri and A. de Roeck, (KEK)Roeck (CERN) Prospects to study a long-lived charged next LHC CMS lightest supersymmetric particle at the LHC, JHEP 0703 (2007) 046. [8] [9] Y. Hatsuda and K. Okamura, Emergent classical strings from matrix model, JHEP 0703, 077 [11] (2007) [10] M. Ibe, Y. Shinbara, T.T. Yanagida, A New Inflation Model with Anomaly-mediated Supersym- metry Breaking, Phys.Lett.B642 (2006) 165. [11] M. Ibe, Y. Shinbara and T. T. Yanagida, The [12] Polonyi problem and upper bound on inflation scale in supergravity, Phys. Lett. B 639, 534 (2006) [12] M. Ibe, Y. Shinbara and T. T. Yanagida, A new inflation model with anomaly-mediated supersymmetry breaking, Phys. Lett. B 642, 165 (2006) [13] M. Ibe, T. Moroi, T.T. Yanagida, Possible Signals of Wino LSP at the Large Hadron Collider, Phys.Lett.B644 (2007) 355. [14] Y. Imamura, H. Isono, K. Kimura, M. Yamazaki, Exactly marginal deformations of quiver gauge theories as seen from brane tilings, to appear in Randall-Sundrum Prog. Theor. Phys., hep-th/ [15] Y. Imamura, Global symmetries and t Hooft anomalies in brane tilings, JHEP12(2006)041, [16] Y. Imamura, Anomaly Cancellations in Brane [21] Tilings, JHEP06(2006)011, [17] F. Koyama and F. Yagi, Quantum moduli space of the cascading Sp(p+M) x Sp(p) gauge theory, ( ) Prog. Theor. Phys. 117 (2007) 487. [1] Y. Aisaka and Y. Kazama, Towards pure spinor type covariant description of supermembrane: An approach from the double spinor formalism, JHEP 0605 (2006) 041. [2] T. Eguchi, Y. Sugawara and A. Taormina, Liouville field, modular forms and elliptic genera, JHEP 0703, 119 (2007) [3] Y. Hatsuda and Y. Matsuo, Symmetry and integrability of non-singlet sectors in matrix quantum mechanics, J. Phys. A 40, 1633 (2007). [18] P.-M. Ho and Y. Matsuo, A toy model of open membrane field theory in constant 3-form flux, arxiv:hep-th/ , General Relativity and Gravitation, to appear. [19] Y. Nakayama, S. J. Rey and Y. Sugawara, Unitarity meets channel-duality for rolling / decaying D-branes, JHEP 0608, 014 (2006) [20] Y. Nakayama, Index for supergravity on AdS(5) x T**(1,1) and conifold gauge theory, Nucl. Phys. B 755, 295 (2006)

5 [21] H. Nakajima and Y. Shinbara, Solutions to large B and L breaking in the Randall-Sundrum model, Phys. Lett. B648 (2007) 294. [22] K. Okamura and K. Yoshida, Higher loop Bethe ansatz for open spin-chains in AdS/CFT, JHEP 0609, 081 (2006) [23] H. Y. Chen, N. Dorey and K. Okamura, Dyonic giant magnons, JHEP 0609, 024 (2006) [24] H. Y. Chen, N. Dorey and K. Okamura, On the scattering of magnon boundstates, JHEP 0611, 035 (2006) [25] K. Okamura and R. Suzuki, A perspective on classical strings from complex sine-gordon solitons, Phys. Rev. D 75, (2007) [26] H. Y. Chen, N. Dorey and K. Okamura, The asymptotic spectrum of the N = 4 super Yang- Mills spin chain, JHEP 0703, 005 (2007) [27] J. Raeymaekers and K.P. Yogendran, Supersymmetric D-branes in the D1-D5 background, J. High Energy Phys. JHEP12(2006)022. [28] J. Raeymaekers, Open string attractors, J. High Energy Phys. JHEP 04 (2007) 075. [29] Y. Sugawara, Aspects of infalling D-branes in two-dimensional black hole, Mod. Phys. Lett. A 22, 83 (2007). [30] T.-S. Tai, Winding String Dynamics in a Time- Dependent Beta Deformed Background, Prog. Theor. Phys. 116 (2006) 965. [31] T.-S. Tai and S. Yamaguchi, Correlator of Fundamental and Anti-symmetric Wilson loops in AdS/CFT Correspondence, JHEP , (2007). [32] T.-S. Tai, Classical c=1 Tachyon Scattering and 1/2 BPS Correlators, Prog. Theor. Phys. 117 (2007) 795. [33] S. Benvenuti, L. A. Pando Zayas and Y. Tachikawa, Triangle anomalies from Einstein manifolds, Adv. Theor. Math. Phys. 10 (2006) 395 [34] M. Endo, K. Kadota, K. A. Olive, F. Takahashi, T.T. Yanagida, The Decay of the Inflaton in Noscale Supergravity, JCAP 0702:018,2007. [35] M. Endo, F. Takahashi, T.T. Yanagida, Spontaneous Non-thermal Leptogenesis in High-scale Inflation Models, Phys.Rev.D74(2006) [36] M. Endo, M. Kawasaki, F. Takahashi, T.T. Yanagida, Inflaton decay through supergravity effects, Phys.Lett.B642(2006) [37] M. Kawasaki, F. Takahashi, T.T. Yanagida, The Gravitino-overproduction problem in inflationary universe, Phys.Rev.D74(2006) [38] M. Kawasaki, F. Takahashi, T.T. Yanagida, Gravitino overproduction in inflaton decay. Phys.Lett.B638(2006)8. ( ) [39] AdS vs. N = 4 vs., 2 COE QUESTS RA, A3. [40] AdS 5 S 5, 2 COE QUESTS RA, A4. [41] Two Wilson Loop Correlator, 2 COE QUESTS RA, A5. [42], Dimer, coamoeba and homological mirror symmetry, 3 - -, 117, 20-24, [43], Brane tilings, algae and quiver gauge theories -with application to homological mirror symmetry-,, 114, F94, [44] Dyonic Giant Magnons,, F73. [45] Classical strings from Complex sine- Gordon solitons,, F85. [46] Anomalies in brane tilings, (2007) [47], Boundary states in the open string channel,, (2007) [48] Winding String Dynamics in Time- Dependent Beta Deformed Background,, (2007 [49] Complex Sine-Gordon Solitons vs. Magnon Boundstates in AdS/CFT,, A29. [50] Sine-Gordon integrability of classical string solutions on AdS 5 S 5,, A77. [51] J. Raeymaekers, Microstates and near-horizon D- brane probes, Fortschr. Phys. 5-6, 811 (2007). ( ) [52] F. Koyama, Orientifolding the cascading gauge theory and its gravity dual. [53] Y. Nakayama, Black hole - string transition and rolling D-brane,

6 6 [54] Y. Tachikawa, AdS/CFT Correspondence with Eight Supercharges. ( ) [58] Y. Aisaka, Origin of pure spinor superstring, Workshop on pure spinors in superstring theory, Instituto de Física Teórica, Brazil, [59] Y. Aisaka, Towards pure spinor type description of supermembrane, Workshop on pure spinors in superstring theory, Instituto de Física Teórica, Brazil, [60] J. Raeymaekers Microstates and near-horizon D-brane probes, at the RTN workshop Constituents, fundamental forces and symmetries of the universe, Napoli, Italy, [61] M. Sakurai, Beilinson-Drinfeld chiral algebra, geometric Langlands program, and open Gromov- Witten invariants, APS-JPS Joint meeting, Hawaii, USA, [62] Y. Matsuo, Symmetry and integrability of nonsinglet sectors in matrix quantum mechanics, APS-JPS Joint meeting, Hawaii, USA, [63] T.-S. Tai, Winding String Dynamics in a Time- Dependent Beta Deformed Background, APS- JPS Joint meeting, Hawaii, USA, [64] R. Suzuki, Sine-Gordon Integrability of Classical String Solutions on AdS 5 S 5, International Meeting on Perspectives of Soliton Physics, PS08, Tokyo University, Tokyo, Japan, [65] M. Yamazaki, What is brane tiling? Winter School in Niseko 2007, Niseko, Japan, [66] K. Kimura, Exactly marginal deformations of quiver gauge theories as seen from brane tilings, Winter School in Niseko 2007, Niseko, Japan, [67] K. Okamura, The Asymptotic Spectrum of AdS/CFT in the Limit of Large Spin/R-charge, Winter School in Niseko 2007, Niseko, Japan, [68] Y. Hatsuda, Emergent Classical Strings from Matrix Model, Winter School in Niseko 2007, Niseko, Japan, [69] Y. Tachikawa, Triangle anomalies from Einstein [55] R. Nobuyama, Aspects of Closed String Tachyons in Type II/Type 0 String Theory manifolds, Workshop on Strings, Black Holes, and Quantum Spacetime, Bokwang Pheonix Park, Korea, [70] Yuji Sugawara, Modular [56],16 Properties of Large/Small N=4 Superconformal Field Theories, APCTP Focus Program Liouville, ( ) Integrability and Branes (3), APCTP, Postech, [57] Pohang, Korea [71] Y. Nakayama, Exactly Solvable Dynamics of Rolling D-brane, Strings 2006, Beijing, [72] K. Hamaguchi, Baryo/Lepto-genesis, Summer Institute 2006, APCTP, Pohang, Korea, [73] K. Hamaguchi, Gravitino Dark Matter, DESY Theory Workshop 2006 The Dark Universe, DESY, Hamburg, Germany, [74] M. Yamazaki, Sasaki-Einstein manifolds and Z-minimization as geometric dual of a- maximization, The 12th International Symposium on Complex Geometry,, [75] Y. Sugawara : Recent Progress in Superstrings on Non-compact Calabi-Yau Manifolds, International Workshop on Non-commutativity in Strings, Gravity and Field Theory, Tokyo Metropolitan Univ, [76] K. Hamaguchi, Long-lived staus at the CMS detector at LHC, DESY Mini-Workshop on Superweakly Interacting Dark Matter, DESY, Hamburg, Germany, [77] T. Eguchi, Liouville Field, Modular Forms and Elliptic Genera, Komaba 2007 Recent Developments in Strings and Fields, Tokyo Univ., Tokyo, Japan, [78] Y. Imamura, Anomalies and marginal deformations in brane tilings, Komaba 2007 Recent Developments in Strings and Fields, Tokyo Univ., Tokyo, Japan, [79] K. Hamaguchi, Stau at the LHC, KEK Annual Theory Meeting on Particle Physics Phenomenology (KEKPH07), KEK, Tsukuba, Japan, [80] T. Eguchi, Liouville Field, Modular Forms and Elliptic Genera, Exploration of New Structures and Natural Constructions in Mathematical Physics, Nagoya U.,Nagoya, Japan, ( ) [81], Brane tilings and quiver gauge theories,,,

7 [82], Anomalies in brane tilings [98], Recent developments in the theory of, toric Sasaki-Einstein manifolds, 4, ,, [83], Winding String Dynamics in a Time- [99], Brane tiling and homological mirror Dependent Beta Deformed Background, symmetry, KEK 2007,,, , [100] Emergent Classical Strings from Ma- [84], Brane tilings, algae and quiver gauge trix Model, KEK 2007, theories -with Application to Homological Mirror, Symmetry-, [101], The Asymptotic Spectrum of,, AdS/CFT, KEK 2007, [85] Dyonic Giant Magnons,, , [102] Spinning string solutions from sine-, [86] Classical strings from Complex sine-, Gordon solitons, [103], Two Wilson/Polyakov loop correlators,, from gravity duals, KEK 2007, [87], Boundary states in the open string channel, [104], Exactly marginal deformations of quiver, , gauge theories and deformations of brane tilings [88],, KEK 2007,, McKay,, , [105], Solutions to large B and L breaking in [89],, Newton the Randall-Sundrum model,, Laurant,,, , Gordon solitons, KEK 2007, [106], Exactly marginal deformations of [90], Beilinson-Drinfeld chiral algebra, geometric Langlands program, and open Gromov-Witten quiver gauge theories as seen from brane tilings,,, invariants, 2006,, [107] Emergent Classical Strings from Matrix Model,,, [91] AdS/CFT/Spin-chain Triality, 2 COE QUESTS RA,, [108] Dyonic Giant Magnons and Magnon [92] AdS 5 S 5 Boundstates in AdS/CFT,,, 2 COE, QUESTS RA,, [109] Classical strings from Complex sine- Gordon solitons,,, 2007 [93], Two Wilson Loop Correlator, 2 3 COE QUESTS RA,, [94] Complex Sine-Gordon Solitons vs. [110],, Magnon Boundstates in AdS/CFT,, ,, [111] Anomaly inflow in Brane tilings,,, [95] Sine-Gordon integrability of classical string solutions on AdS 5 S 5, [112], Exactly marginal deformations of,, 2006 quiver gauge theories as seen from brane tilings, ,, [96], Symmetry and Integrability of Non- [113], AdS/CFT - - Singlet Sectors in Matrix Quantum Mechanics,,,,, , [114], Finite N Index and Angular Momentum [97], Dimer, coamoeba and homological mirror symmetry, 3 -, ,, Bound from Gravity, KEK 2007,

8 8 1 Theoretical Particle and High Energy Physics Group Research Subjects: The Unification of Elementary Particles & Fundamental Interactions Member: Tohru Eguchi, Tsutomu Yanagida, Yutaka Matsuo, Koichi Hamaguchi Yuji Sugawara, Yosuke Imamura, Teruhiko Kawano, Taizan Watari The main research interests at our group are in string theory, quantum field theory and unification theories. String theory, supersymmetric field theories, and conformal field theories are analyzed relating to the fundamental problems of interactions. In the field of high energy phenomenology, supersymmetric unified theories are extensively studied and cosmological problems are also investigated. We list the main subjects of our researches below. 1. Superstring Theory dimensional conformal field theories [2, 19, 29, 30] 1.2 Quantum gravity and matrix models [3, 32] 1.3 Theory of membranes [1, 18] 2. Gauge theories and gauge/string duality 2.1 Superconformal field theories and AdS/CFT [17, 20, 27, 28, 31, 33] 2.2 Spin chains and classical strings [9, 22, 23, 24, 25, 26] 2.3 Brane realization of gauge theories [14, 15, 16] 3. High Energy Phenomenology. 3.1 Phenomenology of beyond the standard models [8, 13, 21] 3.2 Particle cosmology [4, 5, 6, 7, 10, 11, 12, 34, 35, 36, 37, 38] References [1] Y. Aisaka and Y. Kazama, Towards pure spinor type covariant description of supermembrane: An approach from the double spinor formalism, JHEP 0605 (2006) 041. [2] T. Eguchi, Y. Sugawara and A. Taormina, Liouville field, modular forms and elliptic genera, JHEP 0703, 119 (2007) [3] Y. Hatsuda and Y. Matsuo, Symmetry and integrability of non-singlet sectors in matrix quantum mechanics, J. Phys. A 40, 1633 (2007). [4] W. Buchmuller, K. Hamaguchi, M. Ibe and T. T. Yanagida, Eluding the BBN constraints on the stable gravitino, Phys. Lett. B 643 (2006) 124. [5] W. Buchmuller, L. Covi, K. Hamaguchi, A. Ibarra and T. Yanagida, Gravitino dark matter in R-parity breaking vacua, JHEP 0703 (2007) 037. [6] M. Endo, K. Hamaguchi and F. Takahashi, Moduli-induced gravitino problem, Phys. Rev. Lett. 96 (2006) [7] M. Endo, K. Hamaguchi and F. Takahashi, Moduli / inflaton mixing with supersymmetry breaking field, Phys. Rev. D 74 (2006) [8] K. Hamaguchi, M. M. Nojiri and A. de Roeck, Prospects to study a long-lived charged next lightest supersymmetric particle at the LHC, JHEP 0703 (2007) 046. [9] Y. Hatsuda and K. Okamura, Emergent classical strings from matrix model, JHEP 0703, 077 (2007) [10] M. Ibe, Y. Shinbara, T.T. Yanagida, A New Inflation Model with Anomaly-mediated Supersymmetry Breaking, Phys.Lett.B642: ,2006.

9 1. Theoretical Particle and High Energy Physics Group 9 [11] M. Ibe, Y. Shinbara and T. T. Yanagida, The Polonyi problem and upper bound on inflation scale in supergravity, Phys. Lett. B 639, 534 (2006) [12] M. Ibe, Y. Shinbara and T. T. Yanagida, A new inflation model with anomaly-mediated supersymmetry breaking, Phys. Lett. B 642, 165 (2006) [13] M. Ibe, T. Moroi, T.T. Yanagida, Possible Signals of Wino LSP at the Large Hadron Collider, Phys.Lett.B644: ,2007. [14] Y. Imamura, H. Isono, K. Kimura, M. Yamazaki, Exactly marginal deformations of quiver gauge theories as seen from brane tilings, to appear in Prog. Theor. Phys., hep-th/ [15] Y. Imamura, Global symmetries and t Hooft anomalies in brane tilings, JHEP12(2006)041, [16] Y. Imamura, Anomaly Cancellations in Brane Tilings, JHEP06(2006)011, [17] F. Koyama and F. Yagi, Quantum moduli space of the cascading Sp(p+M) x Sp(p) gauge theory, Prog. Theor. Phys. 117 (2007) [18] P.-M. Ho and Y. Matsuo, A toy model of open membrane field theory in constant 3-form flux, arxiv:hepth/ , General Relativity and Gravitation, to appear. [19] Y. Nakayama, S. J. Rey and Y. Sugawara, Unitarity meets channel-duality for rolling / decaying D-branes, JHEP 0608, 014 (2006) [20] Y. Nakayama, Index for supergravity on AdS(5) x T**(1,1) and conifold gauge theory, Nucl. Phys. B 755, 295 (2006) [21] H. Nakajima and Y. Shinbara, Solutions to large B and L breaking in the Randall-Sundrum model, Phys. Lett. B648 (2007) 294. [22] K. Okamura and K. Yoshida, Higher loop Bethe ansatz for open spin-chains in AdS/CFT, JHEP 0609, 081 (2006) [23] H. Y. Chen, N. Dorey and K. Okamura, Dyonic giant magnons, JHEP 0609, 024 (2006) [24] H. Y. Chen, N. Dorey and K. Okamura, On the scattering of magnon boundstates, JHEP 0611, 035 (2006) [25] K. Okamura and R. Suzuki, A perspective on classical strings from complex sine-gordon solitons, Phys. Rev. D 75, (2007) [26] H. Y. Chen, N. Dorey and K. Okamura, The asymptotic spectrum of the N = 4 super Yang-Mills spin chain, JHEP 0703, 005 (2007) [27] J. Raeymaekers and K.P. Yogendran, Supersymmetric D-branes in the D1-D5 background, J. High Energy Phys. JHEP12(2006)022. [28] J. Raeymaekers, Open string attractors, J. High Energy Phys. JHEP04(2007)075. [29] Y. Sugawara, Aspects of infalling D-branes in two-dimensional black hole, Mod. Phys. Lett. A 22, 83 (2007). [30] T.-S. Tai, Winding String Dynamics in a Time-Dependent Beta Deformed Background, Prog. Theor. Phys. 116 (2006) [31] T.-S. Tai and S. Yamaguchi, Correlator of Fundamental and Anti-symmetric Wilson loops in AdS/CFT Correspondence, JHEP , (2007). [32] T.-S. Tai, Classical c=1 Tachyon Scattering and 1/2 BPS Correlators, Prog. Theor. Phys. 117 (2007) [33] S. Benvenuti, L. A. Pando Zayas and Y. Tachikawa, Triangle anomalies from Einstein manifolds, Adv. Theor. Math. Phys. 10 (2006) 395 [34] M. Endo, K. Kadota, K. A. Olive, F. Takahashi, T.T. Yanagida, The Decay of the Inflaton in No-scale Supergravity, JCAP 0702:018,2007. [35] M. Endo, F. Takahashi, T.T. Yanagida, Spontaneous Non-thermal Leptogenesis in High-scale Inflation Models, Phys.Rev.D74:123523,2006. [36] M. Endo, M. Kawasaki, F. Takahashi, T.T. Yanagida, Inflaton decay through supergravity effects, Phys.Lett.B642: ,2006. [37] M. Kawasaki, F. Takahashi, T.T. Yanagida, The Gravitino-overproduction problem in inflationary universe, Phys.Rev.D74:043519,2006. [38] M. Kawasaki, F. Takahashi, T.T. Yanagida, Gravitino overproduction in inflaton decay. Phys.Lett.B638:8,2006.