Chern-Simons Theory on Supermanifolds

Abstract

We consider quantum field theories on supermanifolds using integral forms. The latter are used to define a geometric theory of integration and they are essential for a consistent action principle. The construction relies on Picture Changing Operators, analogous to the one introduced in String Theory. As an application, we construct a geometric action principle for N=1 D=3 super-Chern-Simons theory.

21 pages, 1 table

References in corpus (2)

• Supergravity Actions with Integral Forms
• Super-Chern-Simons Theory as Superstring Theory

Cited by in corpus (2)

• The Integral Form of Supergravity
• Anomaly on Superspace of Time Series Data