Twisted N=1, d=4 supergravity and its symmetries

Autor: Baulieu, Laurent, Bellon, Marc, Reys, Valentin
Rok vydání: 2012
Předmět:
Zdroj: Nuclear Physics B 867 (2013) 330-353
Druh dokumentu: Working Paper
DOI: 10.1016/j.nuclphysb.2012.10.007
Popis: We display the construction of a twisted superalgebra for the N=1 Euclidian supergravity on 4-manifolds with an almost complex structure. It acts on a representation of twisted supersymmetry made of forms with odd and even statistics and it is covariant under a SU(2)\subset SO(4) Lorentz invariance of the manifold's tangent-space. It contains 4 twisted supersymmetry generators, one nilpotent scalar, one vector and one pseudo-scalar. The superalgebra closes on the twisted fields of supergravity in its new minimal set of auxiliary fields. Its couplings to the twisted Wess and Zumino and vector multiplets are also determined.
Comment: Added references and corrected misprints
Databáze: arXiv