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PIRSA:17020029

Video URL

https://pirsa.org/17020029

Geometric interpretation of Witten's d-bar equation

Kapranov, M. (2017). Geometric interpretation of Witten's d-bar equation. Perimeter Institute for Theoretical Physics. https://pirsa.org/17020029

Mikhail Kapranov University of Tokyo

Talk numberPIRSA:17020029
DOI10.48660/17020029
Source RepositoryPIRSA
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Talk Type Conference
Subject

Abstract

The Witten d-bar equation is a generalization of the parametrized holomorphic curve equation associated to a holomorphic function (superpotential) on a Kahler manifold X. It plays a central role in the work of Gaiotto-Moore-Witten on the "algebra of the infrared". The talk will explain an "intrinsic" point of view on the equation as a condition on a real surface S embedded into X (i.e., not involving any parametrization of S). This is possible if S is not a holomorphic curve in the usual sense.