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PIRSA:17020029

Video URL

https://pirsa.org/17020029

Geometric interpretation of Witten's d-bar equation

          @misc{ scivideos_PIRSA:17020029,
            doi = {10.48660/17020029},
            url = {https://pirsa.org/17020029},
            author = {Kapranov, Mikhail},
            keywords = {Mathematical physics},
            language = {en},
            title = {Geometric interpretation of Witten{\textquoteright}s d-bar equation},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2017},
            month = {feb},
            note = {PIRSA:17020029 see, \url{https://scivideos.org/index.php/pirsa/17020029}}
          }

Mikhail Kapranov University of Tokyo

Talk numberPIRSA:17020029
DOI10.48660/17020029
Source RepositoryPIRSA
Collection
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.