Deformed type 0A matrix model and super-Liouville theory for fermionic black holes
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- Title
- Deformed type 0A matrix model and super-Liouville theory for fermionic black holes
- Authors
- Ahn, C; Kim, C; Park, J; Takao Suyama; Masayoshi Yamamoto
- Date Issued
- 2006-01
- Publisher
- INT SCHOOL ADVANCED STUDIES
- Abstract
- We consider a c = 1 model in the fermionic black hole background. For this purpose we consider a model which contains both the N = 1 and the N = 2 super-Liouville interactions. We propose that this model is dual to a recently proposed type 0A matrix quantum mechanics model with vortex deformations. We support our conjecture by showing that non-perturbative corrections to the free energy computed by both the matrix model and the super-Liouville theories agree exactly by treating the N = 2 interaction as a small perturbation. We also show that a two-point function on sphere calculated from the deformed type 0A matrix model is consistent with that of the N = 2 super-Liouville theory when the N = 1 interaction becomes small. This duality between the matrix model and super-Liouville theories leads to a conjecture for arbitrary n-point correlation functions of the N = 1 super-Liouville theory on the sphere.
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/10861
- DOI
- 10.1088/1126-6708/2006/01/124
- ISSN
- 1126-6708
- Article Type
- Article
- Citation
- JOURNAL OF HIGH ENERGY PHYSICS, vol. 0601, no. 1, page. 1 - 124, 2006-01
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