Abstract
We present a unified approach to holomorphic anomaly equations and some well-known quantum spectral curves. We develop a formalism of abstract quantum field theory based on the diagrammatics of the Deligne-Mumford moduli spaces \( {\overline{\mathrm{\mathcal{M}}}}_{g,n} \) and derive a quadratic recursion relation for the abstract free energies in terms of the edge-cutting operators. This abstract quantum field theory can be realized by various choices of a sequence of holomorphic functions or formal power series and suitable propagators, and the realized quantum field theory can be represented by formal Gaussian integrals. Various applications are given.
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Wang, Z., Zhou, J. A unified approach to holomorphic anomaly equations and quantum spectral curves. J. High Energ. Phys. 2019, 135 (2019). https://doi.org/10.1007/JHEP04(2019)135
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DOI: https://doi.org/10.1007/JHEP04(2019)135