Advances in Theoretical and Mathematical Physics

Gravity Induced C-Deformation

Hirosi Ooguri and Cumrun Vafa

Abstract

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.

Article information

Source
Adv. Theor. Math. Phys., Volume 7, Number 3 (2003), 405-417.

Dates
First available in Project Euclid: 4 April 2005

Permanent link to this document
https://projecteuclid.org/euclid.atmp/1112627373

Mathematical Reviews number (MathSciNet)
MR2030055

Zentralblatt MATH identifier
1053.81078

Citation

Ooguri, Hirosi; Vafa, Cumrun. Gravity Induced C -Deformation. Adv. Theor. Math. Phys. 7 (2003), no. 3, 405--417. https://projecteuclid.org/euclid.atmp/1112627373


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