Double scaling limits and twisted non-critical superstrings

Journal of High Energy Physics

Volumn 2006, Issue 7, 2006, Pages

  Bertoldi, Gaetano ^a  

^a SWANSEA UNIVERSITY   (United Kingdom)

Author keywords

Matrix Models; Topological Strings

Indexed keywords

EID: 33748321657     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/07/006     Document Type: Article

References (58)

1. G. Bertoldi and N. Dorey, Non-critical superstrings from four-dimensional gauge theory 2005 J. High Energy Phys. JHEP11(2005)001 [hep-th/0507075]
2. D. Kutasov and N. Seiberg, Noncritical superstrings 1990 Phys. Lett. B 251 67
3. R. Dijkgraaf and C. Vafa, Matrix models, topological strings and supersymmetric gauge theories 2002 Nucl. Phys. B 644 3 [hep-th/0206255]
4. R. Dijkgraaf and C. Vafa, On geometry and matrix models 2002 Nucl. Phys. B 644 21 [hep-th/0207106]
5. R. Dijkgraaf and C. Vafa, A perturbative window into non-perturbative physics [hep-th/0208048]
6. G. Bertoldi, T.J. Hollowood and J.L. Miramontes, Double scaling limits in gauge theories and matrix models [hep-th/0603122]
7. C. Vafa, A stringy test of the fate of the conifold 1995 Nucl. Phys. B 447 252 [hep-th/9505023]
8. I. Antoniadis, E. Gava, K.S. Narain and T.R. Taylor, Topological amplitudes in string theory 1994 Nucl. Phys. B 413 162 [hep-th/9307158]
9. M. Bershadsky, S. Cecotti, H. Ooguri and C. Vafa, Kodaira-Spencer theory of gravity and exact results for quantum string amplitudes 1994 Comm. Math. Phys. 165 311 [hep-th/9309140]
10. P. Di Francesco, P.H. Ginsparg and J. Zinn-Justin, 2D gravity and random matrices 1995 Phys. Rep. 254 1 [hep-th/9306153]
11. P.H. Ginsparg and G.W. Moore, Lectures on 2D gravity and 2D string theory [hep-th/9304011]
12. R. Dijkgraaf and C. Vafa, N ≤ 1 supersymmetry, deconstruction and bosonic gauge theories [hep-th/0302011]
13. M. Aganagic, R. Dijkgraaf, A. Klemm, M. Marino and C. Vafa, Topological strings and integrable hierarchies 2006 Comm. Math. Phys. 261 451 [hep-th/0312085]
14. B. Eynard, Topological expansion for the 1-hermitean matrix model correlation functions 2004 J. High Energy Phys. JHEP11(2004)031 [hep-th/0407261]
15. L. Chekhov and B. Eynard, Hermitean matrix model free energy: Feynman graph technique for all genera 2006 J. High Energy Phys. JHEP03(2006)014 [hep-th/0504116]
16. A. Giveon and D. Kutasov, Little string theory in a double scaling limit 1999 J. High Energy Phys. JHEP10(1999)034 [hep-th/9909110]
17. A. Giveon and D. Kutasov, Comments on double scaled little string theory 2000 J. High Energy Phys. JHEP01(2000)023 [hep-th/9911039]
18. A. Giveon, D. Kutasov and O. Pelc, Holography for non-critical superstrings 1999 J. High Energy Phys. JHEP10(1999)035 [hep-th/9907178]
19. 2, 1997 Phys. Lett. B 408 98 [hep-th/9705221]
20. 5 1997 Phys. Lett. B 408 105 [hep-th/9704089]
21. O. Aharony, M. Berkooz, D. Kutasov and N. Seiberg, Linear dilatons, NS5-branes and holography 1998 J. High Energy Phys. JHEP10(1998)004 [hep-th/9808149]
22. H. Ooguri and C. Vafa, Two-dimensional black hole and singularities of CY manifolds 1996 Nucl. Phys. B 463 55 [hep-th/9511164]
23. D. Ghoshal and C. Vafa, c ≤ 1 string as the topological theory of the conifold 1995 Nucl. Phys. B 453 121 [hep-th/9506122]
24. S. Mukhi and C. Vafa, Two-dimensional black hole as a topological coset model of c ≤ 1 string theory 1993 Nucl. Phys. B 407 667 [hep-th/9301083]
25. S.K. Ashok, S. Murthy and J. Troost, Topological cigar and the c ≤ 1 string: open and closed [hep-th/0511239]
26. R. Dijkgraaf, S. Gukov, V. A. Kazakov and C. Vafa, Perturbative analysis of gauged matrix models 2003 Phys. Rev. D 68 045007 [hep-th/0210238]
27. K. Hori and A. Kapustin, Duality of the fermionic 2D black hole and N ≤ 2 Liouville theory as mirror symmetry 2001 J. High Energy Phys. JHEP08(2001)045 [hep-th/0104202]
28. D. Tong, Mirror mirror on the wall: on two-dimensional black holes and Liouville theory 2003 J. High Energy Phys. JHEP04(2003)031 [hep-th/0303151]
29. T. Eguchi and Y. Sugawara, Conifold type singularities, N ≤ 2 Liouville and SL(2,R)/U(1) theories 2005 J. High Energy Phys. JHEP01(2005)027 [hep-th/0411041]
30. T. Eguchi and Y. Sugawara, SL(2,)/U(1) supercoset and elliptic genera of non-compact Calabi-Yau manifolds, 2004 J. High Energy Phys. JHEP05(2004)014 [hep-th/0403193]
31. D. Israel, A. Pakman and J. Troost, D-branes in N ≤ 2 Liouville theory and its mirror 2005 Nucl. Phys. B 710 529 [hep-th/0405259]
32. 3 [hep-th/0507037]
33. D. A. Sahakyan and T. Takayanagi, On the connection between N ≤ 2 minimal string and (1,n) bosonic minimal string [hep-th/0512112]
34. V. Niarchos, On minimal N ≤ 4 topological strings and the (1,k) minimal bosonic string [hep-th/0512222]
35. S. Nakamura and V. Niarchos, Notes on the S-matrix of bosonic and topological non-critical strings 2005 J. High Energy Phys. JHEP10(2005)025 [hep-th/0507252]
36. T. Takayanagi, Notes on S-matrix of non-critical N ≤ 2 string 2005 J. High Energy Phys. JHEP09(2005)001 [hep-th/0507065]
37. T. Takayanagi, c < 1 string from two dimensional black holes 2005 J. High Energy Phys. JHEP07(2005)050 [hep-th/0503237]
38. F. Cachazo, N. Seiberg and E. Witten, Phases of N ≤ 1 supersymmetric gauge theories and matrices 2003 J. High Energy Phys. JHEP02(2003)042 [hep-th/0301006]
39. F. Cachazo, M. R. Douglas, N. Seiberg and E. Witten, Chiral rings and anomalies in supersymmetric gauge theory 2002 J. High Energy Phys. JHEP12(2002)071 [hep-th/0211170]
40. G. Veneziano and S. Yankielowicz, An effective lagrangian for the pure N ≤ 1 supersymmetric Yang-Mills theory 1982 Phys. Lett. B 113 231
41. T. Eguchi and Y. Sugawara, Branches of N ≤ 1 vacua and Argyres-Douglas points 2003 J. High Energy Phys. JHEP05(2003)063 [hep-th/0305050]
42. G. Bertoldi, Matrix models, Argyres-Douglas singularities and double-scaling limits 2003 J. High Energy Phys. JHEP06(2003)027 [hep-th/0305058]
43. J. Ambjorn, L. Chekhov, C. F. Kristjansen and Y. Makeenko, Matrix model calculations beyond the spherical limit 1993 Nucl. Phys. B 404 127 [hep-th/9302014]
44. Erratum- 1995 Nucl. Phys. B 449 681
45. G. Akemann, Higher genus correlators for the Hermitian matrix model with multiple cuts 1996 Nucl. Phys. B 482 403 [hep-th/9606004]
46. J. Ambjorn and G. Akemann, New universal spectral correlators 1996 J. Phys. A 29 L555 [cond-mat/9606129]
47. Y. Makeenko, Loop equations in matrix models and in 2-D quantum gravity 1991 Mod. Phys. Lett. A 6 1901
48. L. Chekhov, Genus one correlation to multi-cut matrix model solutions 2004 Theor. Math. Phys. 141 1640 [Teor. Mat. Fiz. 141 358] [hep-th/0401089]
49. A. Klemm, M. Marino and S. Theisen, Gravitational corrections in supersymmetric gauge theory and matrix models 2003 J. High Energy Phys. JHEP03(2003)051 [hep-th/0211216]
50. R. Dijkgraaf, A. Sinkovics and M. Temurhan, Matrix models and gravitational corrections 2004 Adv. Theor. Math. Phys. 7 1155 [hep-th/0211241]
51. I.K. Kostov, Conformal field theory techniques in random matrix models [hep-th/9907060]
52. G.W. Moore, Matrix models of 2D gravity and isomonodromic deformation 1990 Prog. Theor. Phys. Suppl. 102 255
53. D. Vasiliev, Determinant formulas for matrix model free energy [hep-th/0506155]
54. P.C. Argyres and M.R. Douglas, New phenomena in SU(3) supersymmetric gauge theory, 1995 Nucl. Phys. B 448 93 [hep-th/9505062]
55. P.C. Argyres, M. Ronen Plesser, N. Seiberg and E. Witten, New N ≤ 2 superconformal field theories in four dimensions 1996 Nucl. Phys. B 461 71 [hep-th/9511154]
56. T. Eguchi, K. Hori, K. Ito and S. K. Yang, Study of N ≤ 2 superconformal field theories in 4 dimensions 1996 Nucl. Phys. B 471 430 [hep-th/9603002]
57. S. Y. Alexandrov, V. A. Kazakov and D. Kutasov, Non-perturbative effects in matrix models and D-branes 2003 J. High Energy Phys. JHEP09(2003)057 [hep-th/0306177]
58. M.X. Huang and A. Klemm, Holomorphic anomaly in gauge theories and matrix models [hep-th/0605195]