Gravitational corrections in supersymmetric gauge theory and matrix models | Zendy

Albrecht Klemm | Zendy; Marcos Mariño | Zendy; Stefan Theisen | Zendy

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Gravitational corrections in supersymmetric gauge theory and matrix models

Author(s) -

Albrecht Klemm,

Marcos Mariño,

Stefan Theisen

Publication year - 2003

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2003/03/051

Subject(s) - superpotential , physics , gauge theory , topological string theory , gravitation , mathematical physics , supersymmetric gauge theory , string (physics) , string theory , theoretical physics , supersymmetry , topology (electrical circuits) , quantum mechanics , relationship between string theory and quantum field theory , quantum gravity , mathematics , combinatorics , quantum

Gravitational corrections in N=1 and 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 N=2 U(N) SYM broken to 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 c

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