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(0, 2) dualities and the 4-simplex

Connections for Women: Holomorphic Differentials in Mathematics and Physics August 15, 2019 - August 16, 2019

August 15, 2019 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Natalie Paquette (California Institute of Technology)
Location: MSRI: Simons Auditorium
  • 4-simplex

  • field theory

  • BPS states

  • chiral algebras

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification



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.

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