Title of article :
On geometry and matrix models Original Research Article
Author/Authors :
Robbert Dijkgraaf، نويسنده , , Cumrun Vafa، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2002
Pages :
19
From page :
21
To page :
39
Abstract :
We point out two extensions of the relation between matrix models, topological strings and N=1 supersymmetric gauge theories. First, we note that by considering double scaling limits of unitary matrix models one can obtain large-N duals of the local Calabi–Yau geometries that engineer N=2 gauge theories. In particular, a double scaling limit of the Gross–Witten one-plaquette lattice model gives the SU(2) Seiberg–Witten solution, including its induced gravitational corrections. Secondly, we point out that the effective superpotential terms for N=1 ADE quiver gauge theories is similarly computed by large-N multi-matrix models, that have been considered in the context of ADE minimal models on random surfaces. The associated spectral curves are multiple branched covers obtained as Virasoro and W-constraints of the partition function.
Journal title :
Nuclear Physics B
Serial Year :
2002
Journal title :
Nuclear Physics B
Record number :
879161
Link To Document :
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