Quantum master equation and Hodge correlators

Hisatoshi Kodani; Yuji Terashima

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arXiv · 2404.09488

Quantum master equation and Hodge correlators

Hisatoshi Kodani·Yuji Terashima

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Abstract

We give a generalization of Goncharov's Hodge correlator twistor connection. Our generalized version is a connection 1-form with values in a DG Lie algebra of uni-trivalent graphs which may have loops and satisfies some Maurer--Cartan equation. This connection and the Maurer--Cartan equation can be viewed as an arithmetic analogue of effective action and quantum master equation respectively in non-acyclic Chern--Simons perturbation theory associated with the trivial local system.

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Hisatoshi Kodani, Yuji Terashima. 2024-04-15. Quantum master equation and Hodge correlators. https://arxiv.org/abs/2404.09488

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