Chern-Simons theory on supermanifolds

Pietro Antonio Grassi; Carlo Maccaferri

doi:10.1007/JHEP09(2016)170

Chern-Simons theory on supermanifolds

Pietro Antonio Grassi
, Carlo Maccaferri

Department of Science and Technological Innovation

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	170
Journal	Journal of High Energy Physics
Volume	2016
Issue number	9
DOIs	https://doi.org/10.1007/JHEP09(2016)170
Publication status	Published - 1 Sept 2016

Keywords

Chern-Simons Theories
Superspaces
Supersymmetric gauge theory

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10.1007/JHEP09(2016)170

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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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AB - 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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KW - Superspaces

KW - Supersymmetric gauge theory

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DO - 10.1007/JHEP09(2016)170

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Chern-Simons theory on supermanifolds

Abstract

Keywords

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