Partition functions of non-Lagrangian theories from the holomorphic anomaly

• DOI: 10.1007/jhep07(2023)195
• Publication Date: 2023-07-26T19:03:16Z
• Authors: Francesco Fucito; Alba Grassi; Jose Francisco Mo...; Raffaele Savelli
• Keywords: Anomaly (physics)

A bstract The computation of the partition function in certain quantum field theories, such as those Argyres-Douglas or Minahan-Nemeschansky type, is problematic due to lack a Lagrangian description. In this paper, we use holomorphic anomaly equation derive gravitational corrections prepotential theories at rank one by deforming them from conformal point. limit, find general formula for sum hypergeometric functions. We show explicit results round sphere and Nekrasov-Shatashvili phases Ω background. first case relevant derivation extremal correlators flat space, whereas second has interesting applications study anharmonic oscillators.