An Introduction to the Gauged Linear Sigma Model

Paul Aspinwall (Duke U)

Jun 15. 2026, 15:30 — 16:30

This series of talks will review the construction of the GLSM using toric geometry.  We will construct probably the easiest and most complete example of a quantum field theory computation demonstrating mirror symmetry by considering the discriminant locus of singular models. The lectures should roughly proceed as:

  1. The nonlinear sigma model and Calabi-Yau manifolds, N=2 supersymmetry and superspace.
  2. The U(1) GLSM construction for algebraic varieties
  3. Renormalization and phases.
  4. Arbitrary Abelian gauge groups and toric varities.
  5. Mirror symmetry and the discriminant locus.

 

Further Information
Venue:
ESI Boltzmann Lecture Hall
Associated Event:
The Unreasonable Effectiveness of Toric Geometry: Bridging Mathematics, Computation, and String Theory (Thematic Programme)
Organizer(s):
Magdalena Larfors (Uppsala U)
Gary Shiu (U of Wisconsin-Madison)
Harald Skarke (TU Wien)
Michael E. Stillman (Cornell U, Ithaca)