Work

Gauged AKSZ sigma models

Year: 2026

Type: preprint

Abstract: We propose a new class of sigma models that extend AKSZ sigma models, which we refer to as gauged AKSZ sigma models. These models are constructed using QP-manifolds. The compatibility between the AKSZ structure and gauging is characterized by geometric conditions on the target graded manifold. As an example, we explicitly analyze the gauging of higher Courant sigma models in higher dimensions. When fluxes and boundaries are introduced into gauged higher Courant sigma models, generalizations of momentum maps and Hamiltonian $G$-spaces arise as consistency conditions for the models.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.16043

Author: Ikeda, Noriaki

Institutions: Ritsumeikan University, Kyoto University, Research Institute for Mathematical Sciences, Kyoto University

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213473502

Cites: 36

Cited by:

Related to: 10