TY - JOUR
T1 - Super AKSZ construction, integral forms, and the 2-dimensional N = (1, 1) sigma model
AU - Hulík, Ondřej
AU - Svoboda, Josef
AU - Valach, Fridrich
N1 - Publisher Copyright:
© 2022, The Author(s).
PY - 2022/12
Y1 - 2022/12
N2 - 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 = (1, 1) sigma model on the boundary, together with the Wess-Zumino term, paralleling the approach of Ševera in the bosonic case.
AB - 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 = (1, 1) sigma model on the boundary, together with the Wess-Zumino term, paralleling the approach of Ševera in the bosonic case.
KW - Differential and Algebraic Geometry
KW - Superspaces
KW - Superstrings and Heterotic Strings
KW - Topological Field Theories
UR - http://www.scopus.com/inward/record.url?scp=85142892065&partnerID=8YFLogxK
U2 - 10.1007/JHEP11(2022)160
DO - 10.1007/JHEP11(2022)160
M3 - Article
AN - SCOPUS:85142892065
SN - 1126-6708
VL - 2022
JO - Journal of High Energy Physics (JHEP)
JF - Journal of High Energy Physics (JHEP)
IS - 11
M1 - 160
ER -