Journal of High Energy Physics (Nov 2022)

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

  • Ondřej Hulík,
  • Josef Svoboda,
  • Fridrich Valach

DOI
https://doi.org/10.1007/JHEP11(2022)160
Journal volume & issue
Vol. 2022, no. 11
pp. 1 – 16

Abstract

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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 N $$ \mathcal{N} $$ = (1, 1) sigma model on the boundary, together with the Wess-Zumino term, paralleling the approach of Ševera in the bosonic case.

Keywords