Gravitational corrections in supersymmetric gauge theory and matrix models

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Published 30 April 2003 • Published under licence by IOP Publishing Ltd
, , Citation Albrecht Klemm et al JHEP03(2003)051 DOI 10.1088/1126-6708/2003/03/051

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Author affiliations

1 Humboldt Universität, Institut für Physik, Berlin, Germany

2 Jefferson Physical Laboratory, Harvard University, Cambridge, MA 02139, USA

3 Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Golm, Germany

Dates

  1. Received 21 March 2003
  2. Accepted 27 March 2003
  3. Published

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1126-6708/2003/03/051

Abstract

Gravitational corrections in Script N = 1 and Script N = 2 supersymmetric gauge theories are obtained from topological string amplitudes. We show how they are recovered in matrix model computations. This provides a test of the proposal by Dijkgraaf and Vafa beyond the planar limit. Both, matrix model and topological string theory, are used to check a conjecture of Nekrasov concerning these gravitational couplings in Seiberg-Witten theory. Our analysis is performed for those gauge theories which are related to the cubic matrix model, i.e. pure {SU}(2) Seiberg-Witten theory and Script N = 2 U(N) SYM broken to Script N = 1 via a cubic superpotential. We outline the computation of the topological amplitudes for the local Calabi-Yau manifolds which are relevant for these two cases.

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10.1088/1126-6708/2003/03/051