C-deformation of Supergravity

Abstract

A four-dimensional supergravity toy model in an arbitrary self-dual gravi-photon background is constructed in Euclidean space, by freezing out the gravi-photon field strength in the standard N=(1,1) extended supergravity with two non-chiral gravitini. Our model has local N=(1/2,0) supersymmetry. Consistency of the model requires the background gravi-photon field strength to be equal to the self-dual (bilinear) anti-chiral gravitino condensate.

8 pages, LaTeX, no figures; small additions, few references added

References in corpus (5)

• Non-Anti-Commutative deformation of effective potentials in supersymmetric gauge theories
• Non(anti)commutative superspace with coordinate-dependent deformation
• N=1/2 supersymmetric four-dimensional non-linear sigma-models from non-anti-commutative superspace
• Summing up Non-anti-commutative Kaehler potential
• A coordinate-dependent superspace deformation from string theory

Cited by in corpus (5)

• Noncommutativity and Non-anticommutativity in Perturbative Quantum Gravity
• Finite field-dependent symmetries in perturbative quantum gravity
• Perturbative quantum gravity in Batalin-Vilkovisky formalism
• Green's Functions in Perturbative Quantum Gravity
• N=1/2 supergravity with matter in four Euclidean dimensions