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Quantum Hitchin Systems via beta-deformed Matrix Models

Show simple item record Bonelli, Giulio Maruyoshi, Kazunobu Tanzini, Alessandro 2013-04-04T10:34:14Z 2013-04-04T10:34:14Z 2011-05-17
dc.description 29 pages; v2. refs. added and typos corrected ; was issued as preprint SISSA n. 18/2011/EP-FM en_US
dc.description.abstract We study the quantization of Hitchin systems in terms of beta-deformations of generalized matrix models related to conformal blocks of Liouville theory on punctured Riemann surfaces. We show that in a suitable limit, corresponding to the Nekrasov-Shatashvili one, the loop equations of the matrix model reproduce the Hamiltonians of the quantum Hitchin system on the sphere and the torus with marked points. The eigenvalues of these Hamiltonians are shown to be the epsilon1-deformation of the chiral observables of the corresponding N=2 four dimensional gauge theory. Moreover, we find the exact wave-functions in terms of the matrix model representation of the conformal blocks with degenerate field insertions. en_US
dc.language.iso en en_US
dc.publisher SISSA en_US
dc.relation.ispartofseries arXiv:1104.4016;
dc.relation.ispartofseries SISSA preprint;18/2011/EP-FM
dc.rights SISSA en_US
dc.title Quantum Hitchin Systems via beta-deformed Matrix Models en_US
dc.type Preprint en_US
dc.miur.area -1 en_US
dc.contributor.area Mathematics en_US

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