Open/closed duality for FZZT branes in c = 1

Journal of High Energy Physics

Volumn , Issue 2, 2006, Pages 002-

  Ellwood, Ian ^a   Hashimoto, Akikazu ^a  

^a Wisconsin Electric Machines and Power Electronics Consortium   (United States)

Author keywords

Integrable Hierarchies; Matrix Models

Indexed keywords

EID: 33644763943     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2006/02/002     Document Type: Article

References (55)

1. I.R. Klebanov, String theory in two-dimensions [hep-th/9108019]
2. R. Dijkgraaf, Intersection theory, integrable hierarchies and topological field theory [hep-th/9201003]
3. A. Morozov, Integrability and matrix models 1994 Phys. Usp. 37 1-55 [hep-th/9303139]
4. P.H. Ginsparg and G.W. Moore, Lectures on 2-D gravity and 2-D string theory [hep-th/9304011]
5. P. Di Francesco, P.H. Ginsparg and J. Zinn-Justin, 2-D gravity and random matrices 1995 Phys. Rep. 254 1 [hep-th/9306153]
6. M. Kontsevich, Intersection theory on the moduli space of curves and the matrix Airy function 1992 Comm. Math. Phys. 147 1
7. V. Fateev, A.B. Zamolodchikov and A.B. Zamolodchikov, Boundary Liouville field theory. I: boundary state and boundary two-point function [hep-th/0001012]
8. J. Teschner, Remarks on Liouville theory with boundary [hep-th/0009138]
9. A.B. Zamolodchikov and A.B. Zamolodchikov, Liouville field theory on a pseudosphere [hep-th/0101152]
10. J. McGreevy and H.L. Verlinde, Strings from tachyons: the c ≤ 1 matrix reloaded 2003 J. High Energy Phys. JHEP12(2003)054 [hep-th/0304224]
11. I.R. Klebanov, J. Maldacena and N. Seiberg, D-brane decay in two-dimensional string theory 2003 J. High Energy Phys. JHEP07(2003)045 [hep-th/0305159]
12. T. Takayanagi and S. Terashima, c ≤ 1 matrix model from string field theory 2005 J. High Energy Phys. JHEP06(2005)074 [hep-th/0503184]
13. N. Seiberg and D. Shih, Branes, rings and matrix models in minimal (super)string theory 2004 J. High Energy Phys. JHEP02(2004)021 [hep-th/0312170]
14. E. Witten, Noncommutative geometry and string field theory 1986 Nucl. Phys. B 268 253
15. D. Gaiotto and L. Rastelli, A paradigm of open/closed duality: Liouville D-branes and the Kontsevich model 2005 J. High Energy Phys. JHEP07(2005)053 [hep-th/0312196]
16. S. Giusto and C. Imbimbo, The Kontsevich connection on the moduli space of FZZT Liouville branes 2005 Nucl. Phys. B 704 181 [hep-th/0408216]
17. J. Maldacena, G.W. Moore, N. Seiberg and D. Shih, Exact vs. semiclassical target space of the minimal string 2004 J. High Energy Phys. JHEP10(2004)020 [hep-th/0408039]
18. A. Hashimoto, M.-x. Huang, A. Klemm and D. Shih, Open/closed string duality for topological gravity with matter 2005 J. High Energy Phys. JHEP05(2005)007 [hep-th/0501141]
19. J.M. Daul, V.A. Kazakov and I.K. Kostov, Rational theories of 2-D gravity from the two matrix model 1993 Nucl. Phys. B 409 311 [hep-th/9303093]
20. C. Imbimbo and S. Mukhi, The topological matrix model of c ≤ 1 string 1995 Nucl. Phys. B 449 553 [hep-th/9505127]
21. D. Ghoshal, S. Mukhi and S. Murthy, Liouville D-branes in two-dimensional strings and open string field theory 2004 J. High Energy Phys. JHEP11(2004)027 [hep-th/0406106]
22. S.Y. Alexandrov, V.A. Kazakov and I.K. Kostov, 2D string theory as normal matrix model 2003 Nucl. Phys. B 667 90 [hep-th/0302106]
23. A. Mukherjee and S. Mukhi, c ≤ 1 matrix models: equivalences and open-closed string duality 2005 J. High Energy Phys. JHEP10(2005)099 [hep-th/0505180]
24. I.K. Kostov, Integrable flows in c ≤ 1 string theory 2003 J. Phys. A: Math. Gen. 36 3153 [hep-th/0208034]
25. I.K. Kostov, Matrix quantum mechanics, string theory, and Toda lattice hierarchy talk at James H. Simons Workshop on Random Matrix Theory, Stony Brook, Februray 20-23, 2002, http://tonic.physics.sunysb.edu/∼verbaarschot/simons/talks/kostov/
26. S.Y. Alexandrov, V.A. Kazakov and I.K. Kostov, Time-dependent backgrounds of 2D string theory 2002 Nucl. Phys. B 640 119 [hep-th/0205079]
27. K. Takasaki and K. Ueno, Toda lattice hierarchy 1984 Adv. Stud. Pure Math. 4 1
28. R. Dijkgraaf, G.W. Moore and R. Plesser, The partition function of 2-D string theory 1993 Nucl. Phys. B 394 356 [hep-th/9208031]
29. T. Takebe, Toda lattice hierarchy and conservation laws 1990 Comm. Math. Phys. 129 281
30. K. Takasaki, The world of integrable systems Kyoritsu, Tokyo, Japan, 2001
31. K. Takasaki, Toda lattice hierarchy and generalized string equations 1996 Comm. Math. Phys. 181 131 [hep-th/9506089]
32. I.K. Kostov, String equation for string theory on a circle 2002 Nucl. Phys. B 624 146 [hep-th/0107247]
33. G.W. Moore, Double scaled field theory at c ≤ 1 1992 Nucl. Phys. B 368 557
34. K. Takasaki and T. Takebe, Quasiclassical limit of Toda hierarchy and W(∞) symmetries 1993 Lett. Math. Phys. 28 165 [hep-th/9301070]
35. Harish-Chandra, 1957 Am. J. Math. 79 87
36. C. Itzykson and J.B. Zuber, Combinatorics of the modular group. II. The Kontsevich integrals 1992 Int. J. Mod. Phys. A 7 5661 [hep-th/9201001]
37. T. Takayanagi and N. Toumbas, A matrix model dual of type 0B string theory in two dimensions 2003 J. High Energy Phys. JHEP07(2003)064 [hep-th/0307083]
38. M.R. Douglas et al., A new hat for the c ≤ 1 matrix model [hep-th/0307195]
39. I.R. Klebanov, J. Maldacena and N. Seiberg, Unitary and complex matrix models as 1-D type 0 strings 2004 Comm. Math. Phys. 252 275 [hep-th/0309168]
40. J. Maldacena and N. Seiberg, Flux-vacua in two dimensional string theory 2005 J. High Energy Phys. JHEP09(2005)077 [hep-th/0506141]
41. A. Jevicki and T. Yoneya, A deformed matrix model and the black hole background in two-dimensional string theory 1994 Nucl. Phys. B 411 64 [hep-th/9305109]
42. K. Demeterfi, I.R. Klebanov and J.P. Rodrigues, The exact S matrix of the deformed c ≤ 1 matrix model 1993 Phys. Rev. Lett. 71 3409 [hep-th/9308036]
43. X. Yin, Matrix models, integrable structures and T-duality of type 0 string theory 2005 Nucl. Phys. B 714 137 [hep-th/0312236]
44. C.V. Johnson, Non-perturbative string equations for type 0A 2004 J. High Energy Phys. JHEP03(2004)041 [hep-th/0311129]
45. N. Seiberg and D. Shih, Flux vacua and branes of the minimal superstring 2005 J. High Energy Phys. JHEP01(2005)055 [hep-th/0412315]
46. C.V. Johnson, Tachyon condensation, open-closed duality, resolvents and minimal bosonic and type 0 strings [hep-th/0408049]
47. J.E. Carlisle, C.V. Johnson and J.S. Pennington, D-branes and fluxes in supersymmetric quantum mechanics [hep-th/0511002]
48. H. Ita, H. Nieder, Y. Oz and T. Sakai, Topological B-model, matrix models, ĉ ≤ 1 strings and quiver gauge theories 2004 J. High Energy Phys. JHEP05(2004)058 [hep-th/0403256]
49. S. Hyun, K. Oh, J.-D. Park and S.-H. Yi, Topological B-model and ĉ ≤ 1 string theory 2005 Nucl. Phys. B 729 135 [hep-th/0502075]
50. L.A. Pando Zayas and D. Vaman, Condensing momentum modes in 2D 0A string theory with flux [hep-th/0507061]
51. T. Takayanagi, Notes on D-branes in 2D type 0 string theory 2004 J. High Energy Phys. JHEP05(2004)063 [hep-th/0402196]
52. D.J. Gross and J. Walcher, Non-perturbative RR potentials in the ĉ ≤ 1 matrix model 2004 J. High Energy Phys. JHEP06(2004)043 [hep-th/0312021]
53. D. Gaiotto, N. Itzhaki and L. Rastelli, Closed strings as imaginary D-branes 2004 Nucl. Phys. B 688 70 [hep-th/0304192]
54. D. Gaiotto, Long strings condensation and FZZT branes [hep-th/0503215]
55. N. Seiberg, Observations on the moduli space of two dimensional string theory 2005 J. High Energy Phys. JHEP03(2005)010 [hep-th/0502156]