Abstract
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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Huang, Mx. Boson-fermion correspondence and holomorphic anomaly equation in 2d Yang-Mills theory on torus. J. High Energ. Phys. 2021, 144 (2021). https://doi.org/10.1007/JHEP07(2021)144
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DOI: https://doi.org/10.1007/JHEP07(2021)144