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Holomorphic anomaly of 2d Yang-Mills theory on a torus revisited
2019
Journal of High Energy Physics
We study the large N 't Hooft expansion of the chiral partition function of 2d U(N ) Yang-Mills theory on a torus. There is a long-standing puzzle that no explicit holomorphic anomaly equation is known for the partition function, although it admits a topological string interpretation. Based on the chiral boson interpretation we clarify how holomorphic anomaly arises and propose a natural anti-holomorphic deformation of the partition function. Our deformed partition function obeys a fairly
doi:10.1007/jhep08(2019)025
fatcat:sqxdn5osvfgj3gqvhea6rks7jy