PIRSA:17020029 Conference Mathematical physics

DOI10.48660/17020029

Conference/School: Hitchin Systems in Mathematics and Physics

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}}
}

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.

Resources

Next talk

Related Talks