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Title:
(0, 2) dualities and the 4-simplex

Speaker:
Natalie Paquette

Abstract:
I describe a program, in work with T. Dimofte, to associate 2d supersymmetric field theories to triangulated 4-manifolds, complementary to recent advances associating field theories to smooth 4-manifolds initiated by Gadde-Gukov-Putrov. BPS observables in the field theory capture topological invariants of the 4-manifold. In particular, this field theoretic prescription can be used to associate chiral algebras, and corresponding graded traces, to triangulated 4-manifolds with boundary. I will propose the 2d theory that should be associated to the simplest triangulated 4-manifold, the 4-simplex, and discuss how elementary field theory dualities encode 4d Pachner moves.

Link:
https://www.msri.org/workshops/894/schedules/27292

Workshop:
MSRI- Connections for Women: Holomorphic Differentials in Mathematics and Physics