Gravity Induced C-Deformation
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.
© 2006 International Press of Boston We thank R. Dijkgraaf, M. Grisaru, and D. Zanon, whose insights have contributed significantly to this paper. We are also grateful to N. Berkovits for valuable discussion. C.V. thanks the hospitality of the theory group at Caltech, where he is a Gordon Moore Distinguished Scholar. The research of H.O. was supported in part by DOE grant DE-FG03-92-ER40701. The research of C.V. was supported in part by NSF grants PHY-9802709 and DMS-0074329. e-print archive: http://lanl.arXiv.org/abs/hep-th/0303063 Technical report nos.: CALT-68-2433; HUTP-03/A020
Published - OOGatmp03b.pdf
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