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• W3100540046 abstract "We discuss the Penner type matrix model recently proposed by Dijkgraaf and Vafa for a possible explanation of the relation between four-dimensional gauge theory and Liouville theory by making use of the connection of the matrix model to two-dimensional CFT. We first consider the relation of gauge couplings defined in UV and IR regimes of N_f = 4, N = 2 supersymmetric gauge theory being related as $q_{{rm UV}}={vartheta_2(q_{{rm IR}})^4/vartheta_3(q_{{rm IR}})^4}$. We then use this relation to discuss the action of modular transformation on the matrix model and determine its spectral curve. We also discuss the decoupling of massive flavors from the N_f = 4 matrix model and derive matrix models describing asymptotically free N = 2 gauge theories. We find that the Penner type matrix theory reproduces correctly the standard results of N = 2 supersymmetric gauge theories." @default.
• W3100540046 created "2020-11-23" @default.
• W3100540046 creator A5016289317 @default.
• W3100540046 creator A5070502235 @default.
• W3100540046 date "2010-02-01" @default.
• W3100540046 modified "2023-09-25" @default.
• W3100540046 title "Penner type matrix model and Seiberg-Witten theory" @default.
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• W3100540046 doi "https://doi.org/10.1007/jhep02(2010)022" @default.
• W3100540046 hasPublicationYear "2010" @default.
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