Seiberg-Witten curve via generalized matrix model
Abstract
We study the generalized matrix model which corresponds to the n-point toric Virasoro conformal block. This describes four-dimensional mathcal{N} = 2{text{SU}}{(2)^n} gauge theory with circular quiver diagram by the AGT relation. We first verify that the generalized matrix model is obtained from the perturbative calculation of the Liouville correlation function. We then derive the Seiberg-Witten curve for mathcal{N} = 2 gauge theory as a spectral curve of the generalized matrix model.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- January 2011
- DOI:
- 10.1007/JHEP01(2011)042
- arXiv:
- arXiv:1009.5553
- Bibcode:
- 2011JHEP...01..042M
- Keywords:
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- Brane Dynamics in Gauge Theories;
- Conformal Field Models in String Theory;
- M-Theory;
- Topological Strings;
- High Energy Physics - Theory
- E-Print:
- 22 pages, 3 figures