Symmetries, conserved charges and (black) holes in two dimensional string theory

Journal of High Energy Physics

Volumn 8, Issue 12, 2004, Pages 1175-1227

  Sen, Ashoke ^a  

^a HARISH CHANDRA RESEARCH INSTITUTE   (India)

Author keywords

D branes; Tachyon Condensation

Indexed keywords

EID: 23044449037     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/12/053     Document Type: Article

References (95)

1. J. McGreevy and H. Verlinde, Strings from tachyons: the c=1 matrix reloaded, J. High Energy Phys. 12 (2003) 054 [hep-th/0304224].
2. I.R. Klebanov, J. Maldacena and N. Seiberg, D-brane decay in two-dimensional string theory, J. High Energy Phys. 07 (2003) 045 [hep-th/0305159].
3. J. McGreevy, J. Teschner and H. Verlinde, Classical and quantum D-branes in 2d string theory, J. High Energy Phys. 01 (2004) 039 [hep-th/0305194].
4. T. Takayanagi and N. Toumbas, A matrix model dual of type-0B string theory in two dimensions, J. High Energy Phys. 07 (2003) 064 [hep-th/0307083].
5. M.R. Douglas, I. R. Klebanov, D. Kutasov, J. Maldacena, E. Martinec and N. Seiberg, A new hat for the c= 1 matrix model, hep-th/0307195.
6. A. Sen, Open-closed duality: lessons from matrix model, Mod. Phys. Lett. A 19 (2004) 841 [hep-th/0308068].
7. A. Sen, Open and closed strings from unstable D-branes, Phys. Rev. D 68 (2003) 106003 [hep-th/0305011].
8. A. Sen, Open-closed duality at tree level, Phys. Rev. Lett. 91 (2003) 181601 [hep-th/0306137].
9. J. de Boer, A. Sinkovics, E. Verlinde and J.-T. Yee, String interactions in c = 1 matrix model, J. High Energy Phys. 03 (2004) 023 [hep-th/0312135].
10. J. Ambjørn and R.A. Janik, The decay of quantum D-branes, Phys. Lett. B 584 (2004) 155 [hep-th/0312163].
11. G. Mandal and S.R. Wadia, Rolling tachyon solution of two-dimensional string theory, J. High Energy Phys. 05 (2004) 038 [hep-th/0312192].
12. D. Gaiotto and L. Rastelli, A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model, hep-th/0312196.
13. D. Ghoshal, S. Mukhi and S. Murthy, Liouville D-branes in two-dimensional strings and open string field theory, J. High Energy Phys. 11 (2004) 027 [hep-th/0406106].
14. F. David, Conformal field theories coupled to 2-d gravity in the conformal gauge, Mod. Phys. Lett. A 3 (1988) 1651.
15. J. Distler and H. Kawai, Conformal field theory and 2-d quantum gravity or who's afraid of Joseph Liouville?, Nucl. Phys. B 321 (1989) 509.
16. V.G. Knizhnik, A.M. Polyakov and A.B. Zamolodchikov, Fractal structure of 2d-quantum gravity, Mod. Phys. Lett. A 3 (1988) 819.
17. D.J. Gross and N. Miljkovic, A nonperturbative solution of D = 1 string theory, Phys. Lett. B 238 (1990) 217.
18. E. Brezin, V.A. Kazakov and A.B. Zamolodchikov, Scaling violation in a field theory of closed strings in one physical dimension, Nucl. Phys. B 338 (1990) 673.
19. P. Ginsparg and J. Zinn-Justin, 2-d gravity + 1-d matter, Phys. Lett. B 240 (1990) 333.
20. S.R. Das and A. Jevicki, String field theory and physical interpretation of D = 1 strings, Mod. Phys. Lett. A 5 (1990) 1639.
21. A.M. Sengupta and S.R. Wadia, Excitations and interactions in D = 1 string theory, Int. J. Mod. Phys. A 6 (1991) 1961.
22. D.J. Gross and I.R. Klebanov, Fermionic string field theory of c= 1 two-dimensional quantum gravity, Nucl. Phys. B 352 (1991) 671.
23. A.B. Zamolodchikov and A.B. Zamolodchikov, Liouville field theory on a pseudosphere, hep-th/0101152.
24. A. Sen, Rolling tachyon, J. High Energy Phys. 04 (2002) 048 [hep-th/0203211].
25. A. Sen, Tachyon matter, J. High Energy Phys. 07 (2002) 065 [hep-th/0203265].
26. N. Lambert, H. Liu and J. Maldacena, Closed strings from decaying D-branes, hep-th/0303139.
27. D. Gaiotto, N. Itzhaki and L. Rastelli, Closed strings as imaginary D-branes, Nucl. Phys. B 688 (2004) 70 [hep-th/0304192].
28. J.L. Karczmarek, H. Liu, J. Maldacena and A. Strominger, UV finite brane decay, J. High Energy Phys. 11 (2003) 042 [hep-th/0306132].
29. D. Gaiotto, N. Itzhaki and L. Rastelli, On the BCFT description of holes in the c = 1 matrix model, Phys. Lett. B 575 (2003) 111 [hep-th/0307221].
30. G. Mandal, A.M. Sengupta and S.R. Wadia, Classical solutions of two-dimensional string theory, Mod. Phys. Lett. A 6 (1991) 1685.
31. E. Witten, On string theory and black holes, Phys. Rev. D 44 (1991) 314.
32. V. Kazakov, I.K. Kostov and D. Kutasov, A matrix model for the two-dimensional black hole, Nucl. Phys. B 622 (2002) 141 [hep-th/0101011].
33. S. Dasgupta and T. Dasgupta, Nonsinglet sector of c = 1 matrix model and 2d black hole, hep-th/0311177.
34. G.W. Moore and N. Seiberg, From loops to fields in 2-d quantum gravity, Int. J. Mod. Phys. A 7 (1992) 2601.
35. D. Minic, J. Polchinski and Z. Yang, Translation invariant backgrounds in (1+1)-dimensional string theory, Nucl. Phys. B 369 (1992) 324.
36. E. Witten, Ground ring of two-dimensional string theory, Nucl. Phys. B 373 (1992) 187 [hep-th/9108004].
37. I.R. Klebanov and A.M. Polyakov, Interaction of discrete states in two-dimensional string theory, Mod. Phys. Lett. A 6 (1991) 3273 [hep-th/9109032].
38. S.R. Das, A. Dhar, G. Mandai and S.R. Wadia, Gauge theory formulation of the c = 1 matrix model: symmetries and discrete states, Int. J. Mod. Phys. A 7 (1992) 5165 [hep-th/9110021].
39. J. Avan and A. Jevicki, Interacting theory of collective and topological fields in two-dimensions, Nucl. Phys. B 397 (1993) 672 [hep-th/9209036].
40. I.R. Klebanov and A. Pasquinucci, Infinite asymmetry and Ward identities in two-dimensional string theory, hep-th/9210105.
41. A. Jevicki, Fields and symmetries of 2-d strings, hep-th/9302106.
42. E. Witten and B. Zwiebach, Algebraic structures and differential geometry in 2 -d string theory, Nucl. Phys. B 377 (1992) 55 [hep-th/9201056].
43. A. Dhar, G. Mandai and S.R. Wadia, Discrete state moduli of string theory from the c = 1 matrix model, Nucl. Phys. B 454 (1995) 541 [hep-th/9507041].
44. A. Sen, Rolling tachyon boundary state, conserved charges and two dimensional string theory, J. High Energy Phys. 05 (2004) 076 [hep-th/0402157].
45. B. Zwiebach, Oriented open-closed string theory revisited, Ann. Phys. (NY) 267 (1998) 193 [hep-th/9705241], and references therein.
46. B.H. Lian and G.J. Zuckerman, 2-d gravity with c = 1 matter, Phys. Lett. B 266 (1991) 21.
47. S. Mukherji, S. Mukhi and A. Sen, Null vectors and extra states in c = 1 string theory, Phys. Lett. B 266 (1991) 337.
48. P. Bouwknegt, J.G. McCarthy and K. Pilch, Brst analysis of physical states for 2-d gravity coupled to c ≤ 1 matter, Commun. Math. Phys. 145 (1992) 541.
49. S. Mukherji, S. Mukhi and A. Sen, Black hole solution and its infinite parameter generalizations in c = 1 string field theory, Phys. Lett. B 275 (1992) 39.
50. E. Witten, Noncommutative geometry and string field theory, Nucl. Phys. B 268 (1986) 253.
51. A. Sen, Energy momentum tensor and marginal deformations in open string field theory, J. High Energy Phys. 08 (2004) 034 [hep-th/0403200].
52. T. Asakawa, S. Kobayashi and S. Matsuura, Closed string field theory with dynamical D-brane, J. High Energy Phys. 10 (2003) 023 [hep-th/0309074].
53. J. Polchinski, Critical behavior of random surfaces in one-dimension, Nucl. Phys. B 346 (1990) 253.
54. S.R. Das, A. Dhar and S.R. Wadia, Critical behavior in two-dimensional quantum gravity and equations of motion of the string, Mod. Phys. Lett. A 5 (1990) 799.
55. R. Dijkgraaf, E. Verlinde and H. Verlinde, c = 1 conformal field theories on Riemann surfaces, Commun. Math. Phys. 115 (1988) 649.
56. M. Goulian and M. Li, Correlation functions in Liouville theory, Phys. Rev. Lett. 66 (1991) 2051.
57. H. Dorn and H.J. Otto, On correlation functions for noncritical strings with c ≤1 d ≥ 1, Phys. Lett. B 291 (1992) 39 [hep-th/9206053].
58. H. Dorn and H.J. Otto, Two and three point functions in Liouville theory, Nucl. Phys. B 429 (1994) 375 [hep-th/9403141].
59. A.B. Zamolodchikov and A.B. Zamolodchikov, Structure constants and conformal bootstrap in Liouville field theory, Nucl. Phys. B 477 (1996) 577 [hep-th/9506136].
60. J. Teschner, Liouville theory revisited, Class, and Quant. Grav. 18 (2001) R153 [hep-th/0104158].
61. C. Imbimbo, S. Mahapatra and S. Mukhi, Construction of physical states of nontrivial ghost number in c < 1 string theory, Nucl. Phys. B 375 (1992) 399.
62. Y.-S. Wu and C.-J. Zhu, The complete structure of the cohomology ring and associated symmetries in D = 2 string theory, Nucl. Phys. B 404 (1993) 245 [hep-th/9209011].
63. N. Ishibashi, The boundary and crosscap states in conformal field theories, Mod. Phys. Lett. A 4 (1989) 251.
64. C.G. Callan Jr., I.R. Klebanov, A.W.W. Ludwig and J.M. Maldacena, Exact solution of a boundary conformal field theory, Nucl. Phys. B 422 (1994) 417 [hep-th/9402113].
65. A. Recknagel and V. Schomerus, Boundary deformation theory and moduli spaces of D-branes, Nucl. Phys. B 545 (1999) 233 [hep-th/9811237].
66. T. Okuda and S. Sugimoto, Coupling of rolling tachyon to closed strings, Nucl. Phys. B 647 (2002) 101 [hep-th/0208196].
67. F. Larsen, A. Naqvi and S. Terashima, Rolling tachyons and decaying branes, J. High Energy Phys. 02 (2003) 039 [hep-th/0212248].
68. N.R. Constable and F. Larsen, The rolling tachyon as a matrix model, J. High Energy Phys. 06 (2003) 017 [hep-th/0305177].
69. M. Gutperle and A. Strominger, Timelike boundary Liouville theory, Phys. Rev. D 67 (2003) 126002 [hep-th/0301038].
70. K. Okuyama, Comments on half s-branes, J. High Energy Phys. 09 (2003) 053 [hep-th/0308172].
71. N. Seiberg, Notes on quantum Liouville theory and quantum gravity, Prog. Theor. Phys. Suppl. 102 (1990) 319.
72. D. Kutasov, K. Okuyama, J.-W. Park, N. Seiberg and D. Shih, Annulus amplitudes and ZZ branes in minimal string theory, J. High Energy Phys. 08 (2004) 026 [hep-th/0406030].
73. S.R. Das, D-branes in 2d string theory and classical limits, hep-th/0401067.
74. J.L. Cardy, Boundary conditions, fusion rules and the Verlinde formula, Nucl. Phys. B 324 (1989) 581.
75. D. Kutasov, D-brane dynamics near NS5-branes, hep-th/0405058.
76. A. Sen, Field theory of tachyon matter, Mod. Phys. Lett. A 17 (2002) 1797 [hep-th/0204143].
77. Y. Nakayama, Y. Sugawara and H. Takayanagi, Boundary states for the rolling D-branes in NS5 background, J. High Energy Phys. 07 (2004) 020 [hep-th/0406173].
78. S. Ribault and V. Schomerus, Branes in the 2-d black hole, J. High Energy Phys. 02 (2004) 019 [hep-th/0310024].
79. S.L. Lukyanov, E.S. Vitchev and A.B. Zamolodchikov, Integrable model of boundary interaction: the paperclip, Nucl. Phys. B 683 (2004) 423 [hep-th/0312168].
80. V. Fateev, A.B. Zamolodchikov and A.B. Zamolodchikov, Boundary Liouville field theory, I. Boundary state and boundary two-point function, hep-th/0001012.
81. J. Teschner, Remarks on Liouville theory with boundary, hep-th/0009138.
82. S.R. Das, Matrix models and black holes, Mod. Phys. Lett. A 8 (1993) 69 [hep-th/9210107].
83. E.J. Martinec and S.L. Shatashvili, Black hole physics and Liouville theory, Nucl. Phys. B 368 (1992) 338.
84. A. Dhar, G. Mandai and S.R. Wadia, Stringy quantum effects in two-dimensional black hole, Mod. Phys. Lett. A 7 (1992) 3703 [hep-th/9210120].
85. S.R. Das, Matrix models and nonperturbative string propagation in two-dimensional black hole backgrounds, Mod. Phys. Lett. A 8 (1993) 1331 [hep-th/9303116].
86. A. Dhar, G. Mandai and S.R. Wadia, Wave propagation in stringy black hole, Mod. Phys. Lett. A 8 (1993) 1701 [hep-th/9304072].
87. A. Jevicki and T. Yoneya, A deformed matrix model and the black hole background in two-dimensional string theory, Nucl. Phys. B 411 (1994) 64 [hep-th/9305109].
88. J. Maldacena, Searching for a 2-d black hole, talk at Strings 2004, Paris http://strings04.lpthe.jussieu.fr/talks/Maldacena.pdf.
89. A. Sen, Simmetries and conservation laws in two dimensional string theory, talk at Strings 2004, Paris http://strings04.lpthe.jussieu.fr/talks/Sen. pdf.
90. E. Martinec and K. Okuyama, Scattered results in 2d string theory, J. High Energy Phys. 10 (2004) 065 [hep-th/0407136].
91. J.M. Maldacena, G.W. Moore and N. Seiberg, Geometrical interpretation of D-branes in gauged WZW models, J. High Energy Phys. 07 (2001) 046 [hep-th/0105038].
92. A. Fotopoulos, V. Niarchos and N. Prezas, D-branes and extended characters in SL(2, ℝ)/U(1), hep-th/0406017.
93. K.P. Yogendran, to appear.
94. N. Moeller, A. Sen and B. Zwiebach, D-branes as tachyon lumps in string field theory, J. High Energy Phys. 08 (2000) 039 [hep-th/0005036].
95. N. Moeller and B. Zwiebach, Dynamics with infinitely many time derivatives and rolling tachyons, J. High Energy Phys. 10 (2002) 034 [hep-th/0207107].