TL;DR
This paper constructs a four-dimensional supergravity model with a self-dual background, revealing a new local supersymmetry structure and linking the background field to gravitino condensates.
Contribution
It introduces a novel supergravity toy model with N=(1/2,0) supersymmetry in Euclidean space, connecting background fields to gravitino condensates.
Findings
Model has local N=(1/2,0) supersymmetry
Background gravi-photon field equals gravitino condensate
Ensures consistency of the supergravity construction
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.
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