Gravity Induced C-Deformation

Hirosi Ooguri, Cumrun Vafa
2003 Advances in Theoretical and Mathematical Physics  
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 nonplanar 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
more » ... roduced. 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. e-print archive: http://lanl.arXiv.org/abs/hep-th/0303063
doi:10.4310/atmp.2003.v7.n3.a2 fatcat:stzqp2v43fdo5ljrv44yoblzwu