Topological Dirac sigma models and the classical master equation

Chatzistavrakidis, Athanasios; Jonke, Larisa; Strobl, Thomas; Šimunić, Grgur (2023) Topological Dirac sigma models and the classical master equation. Journal of Physics A: Mathematical and Theoretical, 56 (1). ISSN 1751-8113

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Official URL: http://doi.org/10.1088/1751-8121/acb09a

Abstract

We present the construction of the classical Batalin–Vilkovisky (BV) action for topological Dirac sigma models. The latter are two-dimensional topological field theories that simultaneously generalise the completely gauged Wess–Zumino–Novikov–Witten model and the Poisson sigma model. Their underlying structure is that of Dirac manifolds associated to maximal isotropic and integrable subbundles of an exact Courant algebroid twisted by a 3-form. In contrast to the Poisson sigma model, the AKSZ construction is not applicable for the general Dirac sigma model. We therefore follow a direct approach for determining a suitable BV extension of the classical action functional with ghosts and antifields satisfying the classical master equation. Special attention is paid to target space covariance, which requires the introduction of two connections with torsion on the Dirac structure.

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Article

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‘This is the version of the article before peer review or editing, as submitted by an author to Journal of Physics A: Mathematical and Theoretical. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it.  The Version of Record is available online at https://iopscience.iop.org/article/10.1088/1751-8121/acb09a'

Uncontrolled Keywords:

Dirac sigma model; Batalin–Vilkovisky (BV) action

Subjects:

NATURAL SCIENCES > Physics

Divisions:

Theoretical Physics Division

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