PIRSA:13040141

Gromov-Witten Invariants from 2D Gauge Theories

Lapan, J. (2013). Gromov-Witten Invariants from 2D Gauge Theories. Perimeter Institute. https://pirsa.org/13040141

Lapan, Joshua. Gromov-Witten Invariants from 2D Gauge Theories. Perimeter Institute, Apr. 30, 2013, https://pirsa.org/13040141 

          @misc{ pirsa_PIRSA:13040141,
            doi = {10.48660/13040141},
            url = {https://pirsa.org/13040141},
            author = {Lapan, Joshua},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Gromov-Witten Invariants from 2D Gauge Theories},
            publisher = {Perimeter Institute},
            year = {2013},
            month = {apr},
            note = {PIRSA:13040141 see, \url{https://pirsa.org}}
          }

Joshua Lapan Harvard University

DOI 10.48660/13040141
Collection
Talk Type Scientific Series
Subject

Abstract

It has been known for twenty years that a class of two-dimensional gauge theories are intimately connected to toric geometry, as well as to hypersurfaces or complete intersections in a toric varieties, and to generalizations thereof.  Under renormalization group flow, the two-dimensional gauge theory flows to a conformal field theory that describes string propagation on the associated geometry.  This provides a connection between certain quantities in the gauge theory and topological invariants of the associated geometry.  In this talk, I will explain how recent results show that, for Calabi-Yau geometries, the partition function for each gauge theory computes the Kahler potential on the Kahler moduli of the associated geometry.  The result is expressed in terms of a Barnes' integral and is readily evaluated in a series expansion around special points in the moduli space (e.g., large volume), providing a fairly efficient way to compute Gromov-Witten invariants of the associated geometry.