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Deformed type 0A matrix model and super-Liouville theory for fermionic black holes

Title
Deformed type 0A matrix model and super-Liouville theory for fermionic black holes
Authors
Ahn C.Kim C.Park J.Suyama T.Yamamoto M.
Ewha Authors
안창림김찬주
SCOPUS Author ID
안창림scopus; 김찬주scopus
Issue Date
2006
Journal Title
Journal of High Energy Physics
ISSN
1029-8479JCR Link
Citation
no. 1, pp. 3153 - 3170
Indexed
SCI; SCIE; SCOPUS WOS scopus
Abstract
We consider a ĉ ≤ 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. © SISSA 2006.
DOI
10.1088/1126-6708/2006/01/124
Appears in Collections:
자연과학대학 > 물리학전공 > Journal papers
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