Covariant path integral for chiral p-forms

TL;DR

This paper extends the covariant path integral formulation to chiral p-forms, addressing gauge reducibility and constraints using the field-antifield formalism, thus advancing the quantization methods for higher-dimensional chiral fields.

Contribution

It generalizes the covariant path integral for chiral bosons to chiral p-forms, incorporating the field-antifield formalism to handle gauge reducibility and constraints.

Findings

Successfully extended the path integral to chiral p-forms

Handled gauge reducibility with infinite variables

Applied field-antifield formalism to eliminate second class constraints

Abstract

The covariant path integral for chiral bosons obtained by McClain, Wu and Yu is generalized to chiral p-forms. In order to handle the reducibility of the gauge transformations associated with the chiral p-forms and with the new variables (in infinite number) that must be added to eliminate the second class constraints, the field-antifield formalism is used.