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Gravity Induced C-Deformation

Ooguri, Hirosi and Vafa, Cumrun (2003) Gravity Induced C-Deformation. Advances in Theoretical and Mathematical Physics, 7 (3). pp. 407-419. ISSN 1095-0761.

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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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Additional Information:© 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: Technical report nos.: CALT-68-2433; HUTP-03/A020
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ID Code:5433
Deposited By: Archive Administrator
Deposited On:17 Oct 2006
Last Modified:26 Dec 2012 09:05

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