## Advances in Theoretical and Mathematical Physics

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

###
Gravity Induced *C*-Deformation

#### 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