Type 0A matrix model of a black hole, integrability, and holography
- Department of Physics, POSTECH, Pohang 790-784 (Korea, Republic of)
- School of Physics, Korea Institute for Advanced Study, Seoul 130-722 (Korea, Republic of)
We investigate a deformed matrix model of type 0A theory related to supersymmetric Witten's black hole in two-dimensions, a generalization of bosonic model suggested by Kazakov et al. We find a free field realization of the partition function of the matrix model, which includes Ramond-Ramond perturbations in the type 0A theory. In a simple case, the partition function is factorized into two determinants, which are given by {tau} function of an integrable system. We work out the genus expansion of the partition function. Holographic relation with the supersymmetric Witten's black hole is checked by Wilson line computation. The corresponding partition function of the matrix model exhibits a singular behavior, which is interpreted as the point of enhanced N=2 world sheet supersymmetry. An interesting relation between the deformed matrix model and topological string on a Z{sub 2} orbifold of conifold is found.
- OSTI ID:
- 20709126
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 71, Issue 8; Other Information: DOI: 10.1103/PhysRevD.71.086002; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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