Thermodynamics of noncritical M-theory and the topological A-model

Nuclear Physics B

Volumn 745, Issue 1-2, 2006, Pages 1-28

  Hořava, Petr ^a,b   Keeler, Cynthia A ^a,b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b LAWRENCE BERKELEY NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33646534861     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.nuclphysb.2006.02.039     Document Type: Article

References (76)

1. Hořava P., and Keeler C.A. Noncritical M-theory in 2 + 1 dimensions as a nonrelativistic Fermi liquid. hep-th/0508024
2. Nakayama Y. Liouville field theory-A decade after the revolution. hep-th/0402009
3. Martinec E.J. The annular report on non-critical string theory. hep-th/0305148
4. Martinec E.J. Matrix models and 2D string theory. hep-th/0410136
5. Alexandrov S. Matrix quantum mechanics and two-dimensional string theory in non-trivial backgrounds. hep-th/0311273
6. Das S.R. Non-trivial 2d space-times from matrices. hep-th/0503002
7. Polchinski J. What is string theory?. hep-th/9411028
8. Klebanov I. String theory in two dimensions. hep-th/9108019
9. Ginsparg P., and Moore G. Lectures on 2D gravity and 2D string theory. hep-th/9304011
10. Douglas M.R., Klebanov I.R., Kutasov D., Maldacena J., and Martinec E. A new hat for the c = 1 matrix model. hep-th/0307195
11. Takayanagi T., and Toumbas N. A matrix model dual of type 0B string theory in two dimensions. JHEP 0307 (2003) 064. hep-th/0307083
12. Gross D.J., and Mende P. The high-energy behavior of string scattering amplitudes. Phys. Lett. B 197 (1987) 129
13. Gross D.J., and Mende P. String theory beyond the Planck scale. Nucl. Phys. B 303 (1988) 407
14. Amati D., Ciafaloni M., and Veneziano G. Superstring collisions at Planckian energies. Phys. Lett. B 197 (1987) 81
15. Amati D., Ciafaloni M., and Veneziano G. Classical and quantum gravity effects from Planckian energy superstring collisions. Int. J. Mod. Phys. A 3 (1988) 1615
16. Gross D.J. High-energy symmetries of string theory. Phys. Rev. Lett. 60 (1988) 1229
17. Witten E. Space-time and topological orbifolds. Phys. Rev. Lett. 61 (1988) 670
18. Amati D., Ciafaloni M., and Veneziano G. Can spacetime be probed below the string size?. Phys. Lett. B 216 (1989) 41
19. Atick J.J., and Witten E. The Hagedorn transition and the number of degrees of freedom of string theory. Nucl. Phys. B 310 (1988) 334
20. Athanasiu G.G., and Atick J.J. Remarks on thermodynamics of strings. In: Gates S.J., et al. (Ed). Strings '88: Proceedings (1989), World Scientific
21. 2 and the high-energy limit of noncritical M-theory, in preparation
22. Alvarez E., and Osorio M.A.R. Superstrings at finite temperature. Phys. Rev. D 36 (1987) 1175
23. McGuigan M. Finite-temperature string theory and twisted tori. Phys. Rev. D 38 (1988) 552
24. Bowick M.J., and Wijewardhana L.C.R. Superstrings at high temperature. Phys. Rev. Lett. 54 (1985) 2485
25. Bowick M.J., and Giddings S.B. High-temperature strings. Nucl. Phys. B 325 (1989) 631
26. Deo N., Jain S., and Tan C.-I. Strings at high-energy densities and complex temperature. Phys. Lett. B 220 (1989) 125
27. Deo N., Jain S., and Tan C.-I. The ideal gas of strings. In: Das S., et al. (Ed). Modern Quantum Field Theory: Proceedings (1991), World Scientific
28. In: Kowalski K.L., et al. (Ed). Thermal Field Theories and Their Applications. Physica A 158 1 (1989) 1
29. Russo J.G. Free energy and critical temperature in eleven dimensions. hep-th/0101132
30. Easther R., Greene B.R., Jackson M.G., and Kabat D. Brane gases in the early universe: Thermodynamics and cosmology. hep-th/0307233
31. Bergman O., and Gaberdiel M. Dualities of type 0 strings. JHEP 9907 (1999) 022. hep-th/9906055
32. Dijkgraaf R., Gukov S., Neitzke A., and Vafa C. Topological M-theory as unification of form theories of gravity. hep-th/0411073
33. Nekrasov N. Z-theory. hep-th/0412021
34. Maldacena J., and Seiberg N. Flux-vacua in two-dimensional string theory. hep-th/0506141
35. Gopakumar R., and Vafa C. On the gauge theory/geometry correspondence. Adv. Theor. Math. Phys. 3 (1999) 1415. hep-th/9811131
36. Gopakumar R., and Vafa C. M-theory and topological strings, I. hep-th/9809187
37. Gopakumar R., and Vafa C. M-theory and topological strings, II. hep-th/9812127
38. Okounkov A., Reshetikhin N., and Vafa C. Quantum Calabi-Yau and classical crystals. hep-th/0309208
39. Iqbal A., Nekrasov N., Okounkov A., and Vafa C. Quantum foam and topological strings. hep-th/0312022
40. Gross D.J., and Klebanov I.R. One-dimensional string theory on a circle. Nucl. Phys. B 344 (1990) 475
41. Hořava P., and Witten E. Heterotic and type I string dynamics from eleven dimensions. Nucl. Phys. B 460 (1996) 5. hep-th/9510209
42. Hořava P., and Witten E. Eleven-dimensional supergravity on a manifold with boundary. Nucl. Phys. B 475 (1996) 94. hep-th/9603142
43. S. Shenker, The strength of nonperturbative effects in string theory, in: Random Surfaces and Quantum Gravity, Cargèse Proceedings, 1990
44. Gross D.J., and Walcher J. Non-perturbative RR potentials in the over(c, ̂) = 1 matrix model. hep-th/0312021
45. Gukov S., Takayanagi T., and Toumbas N. Flux backgrounds in 2D string theory. hep-th/0312208
46. Danielsson U.H., Olsson M.E., and Vonk M. Matrix models, 4D black holes and topological strings on non-compact Calabi-Yau manifolds. hep-th/0410141
47. Mariño M. Chern-Simons theory and topological strings. Rev. Mod. Phys. 77 (2005) 675. hep-th/0406005
48. Mariño M. Enumerative geometry and knot invariants. hep-th/0210145
49. Mariño M. Les Houches lectures on matrix models and topological strings. hep-th/0410165
50. Neitzke A., and Vafa C. Topological strings and their physical applications. hep-th/0410178
51. Distler J., and Vafa C. A critical matrix model at c = 1. Mod. Phys. Lett. A 6 (1991) 259
52. Ooguri H., and Vafa C. Worldsheet derivation of a large N duality. hep-th/0205297
53. Mariño M. Chern-Simons theory, matrix integrals, and perturbative three-manifold invariants. Commun. Math. Phys. 253 (2004) 25. hep-th/0207096
54. Aganagic M., Klemm A., Mariño M., and Vafa C. Matrix model as a mirror of Chern-Simons theory. JHEP 0402 (2004) 010. hep-th/0211098
55. Ooguri H., Strominger A., and Vafa C. Black hole attractors and the topological string. Phys. Rev. D 70 (2004) 106007. hep-th/0405146
56. Vafa C. Two-dimensional Yang-Mills, black holes and topological strings. hep-th/0406058
57. Aganagic M., Ooguri H., Saulina N., and Vafa C. Black holes, q-deformed 2d Yang-Mills, and non-perturbative topological strings. hep-th/0411280
58. Gross D.J. Two-dimensional QCD as a string theory. Nucl. Phys. B 400 (1993) 161. hep-th/9212149
59. Gross D.J., and Taylor W. Two-dimensional QCD is a string theory. Nucl. Phys. B 400 (1993) 181. hep-th/9301068
60. Gross D.J., and Taylor W. Twists and Wilson loops in the string theory of two-dimensional QCD. Nucl. Phys. B 403 (1993) 395. hep-th/9303046
61. Hořava P. Topological strings and QCD in two dimensions. Quantum Field Theory and String Theory, Cargèse Proceedings (1993). hep-th/9311156
62. Hořava P. Topological rigid string theory and two-dimensional QCD. Nucl. Phys. B 463 (1996) 238. hep-th/9507060
63. Hořava P. On QCD string theory and AdS dynamics. JHEP 9901 (1999) 016. hep-th/9811028
64. Cordes S., Moore G., and Ramgoolam S. Large N 2D Yang-Mills theory and topological string theory. Commun. Math. Phys. 185 (1997) 543. hep-th/9402107
65. 2. Phys. Lett. B 319 (1993) 219. hep-th/9305047
66. Arsiwalla X., Boels R., Mariño M., and Sinkovics A. Phase transitions in q-deformed 2d Yang-Mills theory and topological strings. hep-th/0509002
67. 2 and topological strings. hep-th/0509004
68. Caporaso N., Cirafici M., Griguolo L., Pasquetti S., Seminara D., and Szabo R.J. Topological strings and large N phase transitions I. hep-th/0509041
69. Caporaso N., Cirafici M., Griguolo L., Pasquetti S., Seminara D., and Szabo R.J. Topological strings and large N phase transitions II. hep-th/0511043
70. Neitzke A., and Vafa C. N = 2 strings and the twistorial Calabi-Yau. hep-th/0402128
71. Nekrasov N., Ooguri H., and Vafa C. S-duality and topological strings. JHEP 0410 (2004) 009. hep-th/0403167
72. Kapustin A. Gauge theory, topological strings, and S-duality. JHEP 0409 (2004) 034. hep-th/0404041
73. Okuda T. Derivation of Calabi-Yau crystals from Chern-Simons gauge theory. JHEP 0503 (2005) 047. hep-th/0409270
74. Atiyah M., Maldacena J., and Vafa C. An M-theory flop as a large N duality. J. Math. Phys. 42 (2001) 3209. hep-th/0011256
75. Ghoshal D., and Vafa C. c = 1 string and the topological theory of the conifold. Nucl. Phys. B 453 (1995) 121. hep-th/9506122
76. Aganagic M., Dijkgraaf R., Klemm A., Mariño M., and Vafa C. Topological strings and integrable hierarchies. hep-th/0312085