Open Access
May 2003 Gravity Induced C-Deformation
Hirosi Ooguri, Cumrun Vafa
Adv. Theor. Math. Phys. 7(3): 405-417 (May 2003).


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.


Download Citation

Hirosi Ooguri. Cumrun Vafa. "Gravity Induced C-Deformation." Adv. Theor. Math. Phys. 7 (3) 405 - 417, May 2003.


Published: May 2003
First available in Project Euclid: 4 April 2005

zbMATH: 1053.81078
MathSciNet: MR2030055

Rights: Copyright © 2003 International Press of Boston

Vol.7 • No. 3 • May 2003
Back to Top