Anomalous symmetries in Kähler geometry

Dmitri Bykov; Andrew Kuzovchikov

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arXiv · 2608.10861

Anomalous symmetries in Kähler geometry

Dmitri Bykov·Andrew Kuzovchikov

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Abstract

We initiate a study of centrally extended ($\textit{anomalous}$) symmetries in Kähler geometry, focusing on the simplest, and most ubiquitous, Abelian case. In particular, we provide a local description of the geometry admitting such isometries. A long-standing no-go theorem asserts that there is an obstruction to gauging such symmetries in the purely Kähler framework. Utilizing the language of sypersymmetry, we then show that these symmetries may be gauged within the setup of generalized Kähler geometry. Our results may be applied to quotients, T-dualities, etc.

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Dmitri Bykov, Andrew Kuzovchikov. 2026-08-11. Anomalous symmetries in Kähler geometry. https://arxiv.org/abs/2608.10861

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