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Ezra Getzler

Ezra Getzler, Northwestern University
Gluing local gauge conditions in BV quantum field theory

In supersymmetric sigma models, there is frequently no global choice of Lagrangian submanifold for BV quantization. I will take the superparticle, a toy version of the Green Schwarz superstring, as my example, and show how to extend the light-cone gauge to the physically relevant part of phase space. This involves extending a formula of Mikhalkov and A. Schwarz that generalizes the prescription of Batalin and Vilkovisky for the construction of the functional integral.

This is joint work with S. Pohorence.

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Projecto FCT UIDB/04459/2020.