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2016•Journal of High Energy PhysicsOpen access

Chern-Simons theory on supermanifolds

Pietro Antonio Grassi, Carlo Maccaferri

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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.

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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.

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Available 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.

Key concepts: Supermanifold, Action (physics), Mathematics, String theory, String (physics), Chern–Simons theory, Construct (python library), Quantum field theory

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