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

Abstract

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.

Keywords

• Topological Strings
• 1/N Expansion
• Field Theories in Lower Dimensions