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arXiv · 2209.07210

Super AKSZ construction, integral forms, and the 2-dimensional $\mathcal N=(1,1)$ sigma model

Ondrej Hulik·Josef Svoboda·Fridrich Valach
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Abstract

We discuss a natural extension of the AKSZ construction to the case where the source is given by a supermanifold with a chosen integral form. We then focus on the special case with the target given by a Courant algebroid. In the simplest case this leads to the BV version of the super Chern-Simons theory, as developed by Grassi-Maccaferri and Cremonini-Grassi. In the case of exact Courant algebroids we derive the 2-dimensional $\mathcal N=(1,1)$ sigma model on the boundary, together with the Wess-Zumino term, paralleling the approach of \v{S}evera in the bosonic case.

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Ondrej Hulik, Josef Svoboda, Fridrich Valach. 2022-09-15. Super AKSZ construction, integral forms, and the 2-dimensional $\mathcal N=(1,1)$ sigma model. https://doi.org/10.1007/jhep11(2022)160

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