Authors: Junya Yagi
Publish Date: 2014/08/20
Volume: 2014, Issue: 8, Pages: 112-
Abstract
We formulate a deformation of RozanskyWitten theory analogous to the Ωdeformation It is applicable when the target space X is hyperkähler and the spacetime is of the form ℝ×Σ with Σ being a Riemann surface In the case that Σ is a disk the Ωdeformed RozanskyWitten theory quantizes a symplectic submanifold of X thereby providing a new perspective on quantization As applications we elucidate two phenomena in four dimensional gauge theory from this point of view One is a correspondence between the Ωdeformation and quantization of integrable systems The other concerns supersymmetric loop operators and quantization of the algebra of holomorphic functions on a hyperkähler manifoldThis article is published under an open access license Please check the Copyright Information section for details of this license and what reuse is permitted If your intended use exceeds what is permitted by the license or if you are unable to locate the licence and reuse information please contact the Rights and Permissions team
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