Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus

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作者
Min-xin Huang
机构
[1] University of Science and Technology of China,Interdisciplinary Center for Theoretical Study
[2] Peng Huanwu Center for Fundamental Theory,undefined
关键词
Topological Strings; 1/N Expansion; Field Theories in Lower Dimensions;
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摘要
Recently, Okuyama and Sakai proposed a novel holomorphic anomaly equation for the partition function of 2d Yang-Mills theory on a torus, based on an anholomorphic deformation of the propagator in the bosonic formulation. Using the boson-fermion correspondence, we derive the formula for the deformed partition function in fermionic description and give a proof of the holomorphic anomaly equation.
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