期刊
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
卷 26, 期 20, 页码 3439-3467出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0217751X11053882
关键词
Beta (beta) deformed matrix model; AGT; half-genus expansion
资金
- Ministry of Education, Science and Culture, Japan
- [2054278]
We consider the half-genus expansion of the resolvent function in the beta-deformed matrix model with three-Penner potential under the AGT conjecture and the 0d-4d dictionary. The partition function of the model, after the specification of the paths, becomes the DF conformal block for fixed c and provides the Nekrasov partition function expanded both in g(s) = root-epsilon(1)epsilon(2) and in epsilon = epsilon(1)+epsilon(2). Exploiting the explicit expressions for the lower terms of the free energy extracted from the above expansion, we derive the first few epsilon corrections to the Seiberg-Witten prepotential in terms of the parameters of SU (2), N-f - 4, N - 2 supersymmetric gauge theory.
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