UNIGE document Scientific Article
previous document  unige:34923  next document
add to browser collection

The uses of the refined matrix model recursion

Published in Journal of Mathematical Physics. 2011, vol. 52, no. 5, p. 052305
Abstract We study matrix models in the β-ensemble by building on the refined recursion relation proposed by Chekhov and Eynard. We present explicit results for the first β-deformed corrections in the one-cut and the two-cut cases, as well as two applications to supersymmetric gauge theories: the calculation of superpotentials in N=1gauge theories, and the calculation of vevs of surface operators in superconformal N=2theories and their Liouville duals. Finally, we study the β-deformation of the Chern–Simons matrix model. Our results indicate that this model does not provide an appropriate description of the Ω-deformed topological string on the resolved conifold, and therefore that the β-deformation might provide a different generalization of topological string theory in toric Calabi–Yau backgrounds.
Full text
(ISO format)
BRINI, Andréa, MARINO BEIRAS, Marcos, STEVAN, Sébastien. The uses of the refined matrix model recursion. In: Journal of Mathematical Physics, 2011, vol. 52, n° 5, p. 052305. https://archive-ouverte.unige.ch/unige:34923

220 hits



Deposited on : 2014-03-24

Export document
Format :
Citation style :