Gravity Induced C-Deformation

Details Gravity Induced C-Deformation Gravity Induced C-Deformation

2003-03-07

arxiv.org/abs/hep-th/0303063v1

Adv.Theor.Math.Phys.7:405-417,2004

Physics

High Energy Physics

High Energy Physics - Theory

13 pages

Scientific paper

We study F-terms describing coupling of the supergravity to N=1 supersymmetric gauge theories which admit large N expansions. We show that these F-terms are given by summing over genus one non-planar diagrams of the large N expansion of the associated matrix model (or more generally bosonic gauge theory). The key ingredient in this derivation is the observation that the chiral ring of the gluino fields is deformed by the supergravity fields, generalizing the C-deformation which was recently introduced. The gravity induced part of the C-deformation can be derived from the Bianchi identities of the supergravity, but understanding gravitational corrections to the F-terms requires a non-traditional interpretation of these identities.

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