Non-perturbative string equations for type 0A

Journal of High Energy Physics

Volumn 8, Issue 3, 2004, Pages 913-937

  Johnson, Clifford V ^a,b,c  

^a UNIVERSITY OF SOUTHERN CALIFORNIA   (United States)

^b UNIVERSITY OF CALIFORNIA   (United States)

^c DURHAM UNIVERSITY   (United Kingdom)

Author keywords

Bosonic Strings; Conformal Field Models in String Theory; D branes; String Duality

Indexed keywords

EID: 23044453877     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/03/041     Document Type: Article

References (54)

1. S.H. Shenker, The strength of nonperturbative effects in string theory, Presented at the Cargese workshop on random surfaces, quantum gravity and strings, Cargese, France, May 28-Jun 1, 1990.
2. C.V. Johnson, Etudes on D-branes, hep-th/9812196.
3. J. McGreevy and H. Verlinde, Strings from tachyons: the c=1 matrix reloaded, J. High Energy Phys. 12 (2003) 054 [hep-th/0304224].
4. E.J. Martinec, The annular report on non-critical string theory, hep-th/0305148.
5. 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].
6. 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].
7. S.Y. Alexandrov, V.A. Kazakov and D. Kutasov, Non-perturbative effects in matrix models and D-branes, J. High Energy Phys. 09 (2003) 057 [hep-th/0306177].
8. V. Fateev, A.B. Zamolodchikov and A.B. Zamolodchikov, Boundary Liouville field theory, I. Boundary state and boundary two-point function, hep-th/0001012.
9. V. Schomerus, Rolling tachyons from Liouville theory, J. High Energy Phys. 11 (2003) 043 [hep-th/0306026].
10. A. Sen, Open-closed duality: lessons from matrix model, hep-th/0308068.
11. A. Sen, Non-BPS states and branes in string theory, hep-th/9904207.
12. A. Sen, Rolling tachyon, J. High Energy Phys. 04 (2002) 048 [hep-th/0203211].
13. S. Dalley, C.V. Johnson and T.R. Morris, Multicritical complex matrix models and nonperturbative 2D quantum gravity, Nucl. Phys. B 368 (1992) 625.
14. S. Dalley, C.V. Johnson and T.R. Morris, Nonperturbative two-dimensional quantum gravity, Nucl. Phys. B 368 (1992) 655.
15. S. Dalley, C.V. Johnson and T.R. Morris, Nonperturbative two-dimensional quantum gravity, again, Nucl. Phys. 25A (Proc. Suppl.) (1992) 87 [hep-th/9108016].
16. G.W. Moore, Double scaled field theory at c=1, Nucl. Phys. B 368 (1992) 557.
17. G.W. Moore, M.R. Plesser and S. Ramgoolam, Exact s matrix for 2D string theory, Nucl. Phys. B 377 (1992) 143 [hep-th/9111035].
18. A. Dhar, G. Mandal 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].
19. T. Takayanagi and N. Toumbas, A matrix model dual of type Ob string theory in two dimensions, J. High Energy Phys. 07 (2003) 064 [hep-th/0307083].
20. M.R. Douglas et al., A new hat for the c=1 matrix model, hep-th/0307195.
21. E. Brezin and V.A. Kazakov, Exactly solvable field theories of closed strings, Phys. Lett. B 236 (1990) 144.
22. M.R. Douglas and S.H. Shenker, Strings in less than one-dimension, Nucl. Phys. B 335 (1990) 635.
23. D.J. Gross and A.A. Migdal, Nonperturbative two-dimensional quantum gravity, Phys. Rev. Lett. 64 (1990) 127.
24. D.J. Gross and A.A. Migdal, A nonperturbative treatment of two-dimensional quantum gravity, Nucl. Phys. B 340 (1990) 333.
25. V.A. Kazakov, A simple solvable model of quantum field theory of open strings, Phys. Lett. B 237 (1990) 212.
26. I.K. Kostov, Exactly solvable field theory of D = 0 closed and open strings, Phys. Lett. B 238 (1990) 181.
27. S. Dalley, C.V. Johnson, T.R. Morris and A. Watterstam, Unitary matrix models and 2D quantum gravity, Mod. Phys. Lett. A 7 (1992) 2753 [hep-th/9206060].
28. V. Periwal and D. Shevitz, Unitary matrix models as exactly solvable string theories, Phys. Rev. Lett. 64 (1990) 1326.
29. V. Periwal and D. Shevitz, Exactly solvable unitary matrix models: multicritical potentials and correlations, Nucl. Phys. B 344 (1990) 731.
30. I.R. Klebanov, J. Maldacena and N. Seiberg, Unitary and complex matrix models as 1D type 0 strings, hep-th/0309168.
31. R. Gopakumar and C. Vafa, On the gauge theory/geometry correspondence, Adv. Theor. Math. Phys. 3 (1999) 1415 [hep-th/9811131].
32. χSB-resolution of naked singularities, J. High Energy Phys. 08 (2000) 052 [hep-th/0007191].
33. J.M. Maldacena and G. Núñez, Towards the large-N limit of pure N = 1 super Yang-Mills, Phys. Rev. Lett. 86 (2001) 588 [hep-th/0008001].
34. C. Vafa, Superstrings and topological strings at large-N, J. Math. Phys. 42 (2001) 2798 [hep-th/0008142].
35. F. Cachazo, K.A. Intriligator and C. Vafa, A large-N duality via a geometric transition, Nucl. Phys. B 603 (2001) 3 [hep-th/0103067].
36. T. R. Morris, 2D quantum gravity, multicritical matter and complex matrices, FERMILAB-PUB-90-136-T.
37. T.R. Morris, Multicritical matter from complex matrices, Class. and Quant. Grav. 9 (1992) 1873.
38. C.V. Johnson, T.R. Morris and A. Watterstam, Global kdv flows and stable 2D quantum gravity, Phys. Lett. B 291 (1992) 11 [hep-th/9205056].
39. C.V. Johnson, T.R. Morris and B. Spence, Stable nonperturbative minimal models coupled to 2D quantum gravity, Nucl. Phys. B 384 (1992) 381 [hep-th/9203022].
40. C.V. Johnson, On integrable c<1 open string theory, Nucl. Phys. B 414 (1994) 239 [hep-th/9301112].
41. L. Houart, Explicit resolution of an integrable c(4, 3) open string theory, Phys. Lett. B 311 (1993) 71 [hep-th/9303157].
42. C.V. Johnson, Non-perturbatively stable conformal minimal models coupled to two dimensional quantum gravity, PhD thesis, Southampton University, U.K., 1992.
43. I.M. Gel'fand and L.A. Dikii, Fractional powers of operators and hamiltonian systems, Funct. Anal. Appl. 10 (1976) 259.
44. I.M. Gel'fand and L. A. Dikii, The resolvent and hamiltonian systems, Fund. Anal. Appl. 11 (1976) 93.
45. M.R. Douglas, Strings in less than one-dimension and the generalized K-D- V hierarchies, Phys. Lett. B 238 (1990) 176.
46. I.M. Gel'fand and L. A. Dikii, Asymptotic behavior of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-De Vries equations, Russ. Math. Surveys 30 (1975) 77.
47. C.V. Johnson, T.R. Morris and P.L. White, The boundary cosmological constant in stable 2D quantum gravity, Phys. Lett. B 292 (1992) 283 [hep-th/9206066].
48. E.J. Martinec, G.W. Moore and N. Seiberg, Boundary operators in 2D gravity, Phys. Lett. B 263 (1991) 190.
49. P.H. Ginsparg and G.W. Moore, Lectures on 2D gravity and 2D string theory, hep-th/9304011.
50. E. Brezin, M.R. Douglas, V. Kazakov and S.H. Shenker, The Ising model coupled to 2D gravity: a nonperturbative analysis, Phys. Lett. B 237 (1990) 43.
51. D.J. Gross and A.A. Migdal, Nonperturbative solution of the Ising model on a random surface, Phys. Rev. Lett. 64 (1990) 717.
52. C. Crnkovic, P.H. Ginsparg and G.W. Moore, The Ising model, the Yang-Lee edge singularity and 2D quantum gravity, Phys. Lett. B 237 (1990) 196.
53. D. Friedan, Z.A. Qiu and S.H. Shenker, Superconformal invariance in two-dimensions and the tricritical Ising model, Phys. Lett. B 151 (1985) 37.
54. M. Bershadsky and I.R. Klebanov, Partition functions and physical states in two-dimensional quantum gravity and supergravity, Nucl. Phys. B 360 (1991) 559.