[30] [9] uniformization cylinder amplitudes. Ghoshal. c = 1 FZZT [19, 55, 68] brane. [8] brane. Lorentzian. ( rolling D-brane ) [7]

Transcription

1 [30] Rey [9] non-extremal NS5 (Lorentzian) D0- ambiguity rolling tachyon Hagedorn out-going Hawking affine SL(2) k / [68, 43, 69] N = 2 SL(2)/U(1) [1] N = 2 uniformization theorem [6] N = 2 Super Yang-Milles CP 1 ALE fibration 2 G. Bertoldi, S. Bolognesi, M. Matone, L. Mazzucato massless SL(2, R) WZW Zamolodchikov BPS BPS D- uniformization cylinder amplitudes G. Bertoldi, S. Bolognesi, M. Matone, L. Mazzucato [16] [12] N = 2 crosscap states massless ( ) BPS Ghoshal c = 1 FZZT [19, 55, 68] brane Kutasov NS5-brane [8] brane S 1 tachyon 0 NS5 1 extremal NS5 T-dual D- II 2 N = 2 D- II C 2 /Z Lorentzian 2 Taub-NUT theory Kutasov NS5 D- ( rolling D-brane ) [7] D- rolling tachyon Witten Hagedorn Kutasov [35] tachyon-radion correspondence A.Sen Rolling signal Tachyon [9] K. L. Panigrahi, [36] S. J. Rey [20] N = 2 Liouville

2 2 G (Hitchin ) Beilinson-Drinfeld [54] chiral de Rham complex K ( ) Fano 3-fold M factorization [61] Poisson reduction B Courant algebroid Seiberg-Witten [14] Strachan [2, 13] AdS/CFT HIKKO HIKKO d d+1 AdS AdS/CFT HIKKO / [31] 4 (CFT) D-brane CFT AdS [32] AdS/CFT D- CFT CFT [11] p AdS 5 S 5 spinning p string N = 4 Yang-Mills Ghoshal p B [33] / N = 1 D p 1 [18] SU(N) N QCD string [10] Ghoshal QCD string D- p [17] N QCD string string D Maldacena-Nunez N=1 D-brane [28] SU(2) [29] Topological vertex [56]

3 (BPS ) O(10) MeV [23] GMSB 8 U(1) n (O < 16 ev) BPS O(10) TeV [22] O(10) TeV 10 Seiberg Witten 4 N = 2 γ SUSY-FCNC (AMSB) AMSB [62, 65, 66] AMSB N=1 [37] [4] [21] ( ) AMSB 100TeV [34] ( ) [1] Y. Nakayama, Liouville field theory: A decade after the revolution, Int. J. Mod. Phys. A 19, 2771 (2004). (SUSY-FCNC ) [2] I. Kishimoto and Y. Matsuo, Cardy states as SUSY-FCNC idempotents of fusion ring in string field theory, Phys. Lett. B 590, 303 (2004). FCNC [3] T. Eguchi and Y. Sugawara, SL(2,R)/U(1) supercoset and elliptic genera of non-compact Calabi- Yau manifolds, JHEP 0405, 014 (2004). [4] M. Ibe, R. Kitano, H. Murayama and T. Yanagida, cutoff Viable supersymmetry and leptogenesis with anomaly mediation, Phys. Rev. D 70, (2004). [15] [5] M. Ibe and T. Yanagida, A solution to the baryon and dark-matter coincidence puzzle in a N-tilde (GMSB) FCNC dominated early universe, Phys. Lett. B 597, 47 (2004). [5] [6] G. Bertoldi, S. Bolognesi, M. Matone, L. Mazzucato and Y. Nakayama, The Liouville geometry (Ñ) of N = 2 instantons and the moduli of punctured Ñ spheres, JHEP 0405, 075 (2004).

4 4 [7] Y. Imamura, F. Koyama and R. Nobuyama, Ricci-flat deformation of orbifolds and localized tachyonic modes, JHEP 0411, 042 (2004) [8] D. Ghoshal, S. Mukhi and S. Murthy, Liouville D-branes in Two-Dimensional Strings and Open String Field Theory, JHEP 0411, 027 (2004) [9] Y. Nakayama, Y. Sugawara and H. Takayanagi, Boundary states for the rolling D-branes in NS5 background, JHEP 0407, 020 (2004). [10] D. Ghoshal, Exact noncommutative solitons in p- adic strings and BSFT, JHEP 0409, 041 (2004). [11] K. Ideguchi, Semiclassical strings on AdS(5) x S**5/Z(M) and operators in orbifold field theories, JHEP 0409, 008 (2004). [12] Y. Nakayama, Crosscap states in N = 2 Liouville theory, Nucl. Phys. B 708, 345 (2005). [13] I. Kishimoto and Y. Matsuo, Cardy states, factorization and idempotency in closed string field theory, Nucl. Phys. B 707, 3 (2005). [14] N. Ikeda and Izawa K.-I., Dimensional Reduction of Nonlinear Gauge Theories, JHEP 0409, 030 (2004). [15] M. Ibe, Izawa K.-I. and T. Yanagida, Realization of Minimal Supergravity, Phys. Rev. D71, (2005). [16] G. Bertoldi, S. Bolognesi, G. Giribet, M. Matone and Y. Nakayama, Zamolodchikov relations and Liouville hierarchy in SL(2,R)(k) WZNW model, Nucl. Phys. B 709, 522 (2005). [17] D. Ghoshal and T. Kawano, Towards p-adic String in Constant B-field, Nucl. Phys. B710,577 (2005). [18] Y. Imamura, On String Junctions in Supersymmetric Gauge Theories, Prog. Theor. Phys. 112, 1061 (2004). [19] T. Eguchi and Y. Sugawara, Conifold type singularities, N = 2 Liouville and SL(2:R)/U(1) theories, JHEP 0501, 027 (2005). [20] Y. Nakayama, K. L. Panigrahi, S. J. Rey and H. Takayanagi, Rolling down the throat in NS5- brane background: The case of electrified D- brane, JHEP 0501, 052 (2005). [21] M. Ibe, R. Kitano and H. Murayama, A viable supersymmetric model with UV insensitive anomaly mediation, Phys. Rev. D 71, (2005). [22] M. Eto, Y. Isozumi, M. Nitta, K. Ohashi, K. Ohta, N. Sakai and Y. Tachikawa, Global Structure of Moduli Space for BPS Walls, Phys. Rev. D71, (2005). [23] M. Ibe, K. Tobe and T. Yanagida, A gaugemediation model with a light gravitino of mass O(10)-eV and the messenger dark matter, to appear in Phys. Lett. B. [24] T. Eguchi, Modular Bootstrap of Boundary N=2 Liouville Theory, contribution to the proceedings of strings 2004, June 28-July 2, Paris, Comptes Rendus Physique 6, 209 (2005). [25], Cardy states as idempotents of fusion ring in string field theory, 2004, 110-3, C-48 (2004). [26], Orbifold 2004, 110-3,C-55 (2004). [27],, [28],,, [29] K. Ichikawa, A Noncommutative Discription of D-branes on Orbifolds. [30] H. Takayanagi, Boundary states for rolling D- branes in NS5-background. [31] E. Watanabe, Nonlinear relations among boundary states in supersymmetric closed string field theories. [32], D-brane [33], Gauge/String Spin chains/spinning strings [34], [35] R. Suzuki, Boundary states in curved backgrounds. [36], D [37], N=1 Dijkgraaf-Vafa ( ) [38],,,, [39] T. Eguchi, Modular Bootstrap of Boundary N = 2 Louville Theory, Avant strings2004, IHES, Paris, 6/19-6/26, [40] T. Eguchi, Modular Bootstrap of Boundary N = 2 Louville Theory, strings 2004, College de France, Paris, 6/27-7/2, [41] Y. Matsuo, Boundary states as solutions of closed string field theory, workshop String Field Theory Camp, Banff, Canada, 7/11-7/24, 2004.

5 [42] T. Eguchi, Geometry of N = 2 Liouville Theory, Ecole Normale Superieure, Paris, March 2, [43] Y. Sugawara, D-branes Falling into 2-dimensional Black-Hole and Closed String Radiation, Workshop Common Trends in String Theories and Integrable Theories, Ewha Womans Univ. Seoul, 3/4-3/5, [44] Y. Nakayama, Effective gauge degrees of freedom and the (non)existence of the glueball superpotential, Workshop on nonperturbative gauge dynamics, International school for advanced studies (SISSA), Trieste, Italy. 3/10-3/12, [45] Y. Matsuo, Cardy states as idempotents of fusion ring in closed string field theory, Saclay, France, March [64], N=2, [65], Instanton Counting and Five- [46], A solution to the baryon and darkmatter Dimensional Chern-Simons Terms, coincidence puzzle in a Ñ dominated early Mathematical Aspects of String Theory, universe,,, , [47], Cardy states as idempotents of fusion ring in string field theory, 2004, [66],,,, [67], Flux Vacua [48], Orbifold,, , 2004,, [68], N=2 Liouville, SL(2)/U(1), and Related Topics,,, [49], Boundary states for supertubes, ,, [69], D-branes Falling into 2-dimensional. Black-Hole and Closed String Radiation, KEK [50],, , KEK, ,, [51], AdS 5 S 5 /Z M,,, [52], Ricci-flat deformation of orbifolds and localized tachyonic modes,,, [53], The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres,,, [54] Topological chiral algebra topological vertex geometric transition,,, [55] Non-compact Gepner Models,,, [56],,,, [57], Worldsheet description of D-brane dynamics near NS5-brane,,, [58],,,, [59], Semiclassical strings on AdS 5 S 5 /Z M and operators in orbifold field theories,,, [60], USO and Zamolodchikov relations,,, [61], Hitchin M-,,, [62] E, F, G of Instantons,,, [63],, 2004,,

6 6 1 Theoretical Particle and High Energy Physics Group Research Subjects: The Unification of Elementary Particles & Fundamental Interactions Member: Tohru Eguchi, Tsutomu Yanagida, Yutaka Matsuo, Ken-Ichi Izawa, Yuji Sugawara, Yosuke Imamura, Teruhiko Kawano 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. 1.1 Strings in curved background and D-branes [1, 3, 6, 7, 8, 9, 12, 16, 19, 20] 1.2 String field theory [2, 13] 1.3 p-adic strings [10, 17] 1.4 AdS/CFT correspondence [11, 18] 2. Field Theory. 2.1 Nonlinear gauge theories [14] 2.2 Solitons in supersymmetric theories [22] 3. High Energy Phenomenology. 3.1 Phenomenology of supersymmetric models [4, 15, 21] 3.2 Particle cosmology [5, 23] References [1] Y. Nakayama, Liouville field theory: A decade after the revolution, Int. J. Mod. Phys. A 19, 2771 (2004). [2] I. Kishimoto and Y. Matsuo, Cardy states as idempotents of fusion ring in string field theory, Phys. Lett. B 590, 303 (2004). [3] T. Eguchi and Y. Sugawara, SL(2,R)/U(1) supercoset and elliptic genera of non-compact Calabi-Yau manifolds, JHEP 0405, 014 (2004). [4] M. Ibe, R. Kitano, H. Murayama and T. Yanagida, Viable supersymmetry and leptogenesis with anomaly mediation, Phys. Rev. D 70, (2004). [5] M. Ibe and T. Yanagida, A solution to the baryon and dark-matter coincidence puzzle in a N-tilde dominated early universe, Phys. Lett. B 597, 47 (2004). [6] G. Bertoldi, S. Bolognesi, M. Matone, L. Mazzucato and Y. Nakayama, The Liouville geometry of N = 2 instantons and the moduli of punctured spheres, JHEP 0405, 075 (2004). [7] Y. Imamura, F. Koyama and R. Nobuyama, Ricci-flat deformation of orbifolds and localized tachyonic modes, JHEP 0411, 042 (2004) [8] D. Ghoshal, S. Mukhi and S. Murthy, Liouville D-branes in Two-Dimensional Strings and Open String Field Theory, JHEP 0411, 027 (2004) [9] Y. Nakayama, Y. Sugawara and H. Takayanagi, Boundary states for the rolling D-branes in NS5 background, JHEP 0407, 020 (2004). [10] D. Ghoshal, Exact noncommutative solitons in p-adic strings and BSFT, JHEP 0409, 041 (2004).

7 1. Theoretical Particle and High Energy Physics Group 7 [11] K. Ideguchi, Semiclassical strings on AdS(5) x S**5/Z(M) and operators in orbifold field theories, JHEP 0409, 008 (2004). [12] Y. Nakayama, Crosscap states in N = 2 Liouville theory, Nucl. Phys. B 708, 345 (2005). [13] I. Kishimoto and Y. Matsuo, Cardy states, factorization and idempotency in closed string field theory, Nucl. Phys. B 707, 3 (2005). [14] N. Ikeda and Izawa K.-I., Dimensional Reduction of Nonlinear Gauge Theories, JHEP 0409, 030 (2004). [15] M. Ibe, Izawa K.-I. and T. Yanagida, Realization of Minimal Supergravity, Phys. Rev. D71, (2005). [16] G. Bertoldi, S. Bolognesi, G. Giribet, M. Matone and Y. Nakayama, Zamolodchikov relations and Liouville hierarchy in SL(2,R)(k) WZNW model, Nucl. Phys. B 709, 522 (2005). [17] D. Ghoshal and T. Kawano, Towards p-adic String in Constant B-field, Nucl. Phys. B710,577 (2005). [18] Y. Imamura, On String Junctions in Supersymmetric Gauge Theories, Prog. Theor. Phys. 112, 1061 (2004). [19] T. Eguchi and Y. Sugawara, Conifold type singularities, N = 2 Liouville and SL(2:R)/U(1) theories, JHEP 0501, 027 (2005). [20] Y. Nakayama, K. L. Panigrahi, S. J. Rey and H. Takayanagi, Rolling down the throat in NS5-brane background: The case of electrified D-brane, JHEP 0501, 052 (2005). [21] M. Ibe, R. Kitano and H. Murayama, A viable supersymmetric model with UV insensitive anomaly mediation, Phys. Rev. D 71, (2005). [22] M. Eto, Y. Isozumi, M. Nitta, K. Ohashi, K. Ohta, N. Sakai and Y. Tachikawa, Global Structure of Moduli Space for BPS Walls, Phys. Rev. D71, (2005). [23] M. Ibe, K. Tobe and T. Yanagida, A gauge-mediation model with a light gravitino of mass O(10)-eV and the messenger dark matter, to appear in Phys. Lett. B.

8 II : ,2, SO(3) SU(2) 5.2 Lie Lie III: SU(n) Weyl Schur 3.1 Hodge 1.4 Young Maxwell