PIRSA:17020029

Geometric interpretation of Witten's d-bar equation

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

Kapranov, Mikhail. Geometric interpretation of Witten's d-bar equation. Perimeter Institute, Feb. 16, 2017, https://pirsa.org/17020029 

          @misc{ pirsa_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},
            year = {2017},
            month = {feb},
            note = {PIRSA:17020029 see, \url{https://pirsa.org}}
          }

Mikhail Kapranov University of Tokyo

DOI 10.48660/17020029
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.