nLab super Chern-Simons theory

Idea

The supersymmetric version of Chern-Simons theory…

Related concepts

• ABJM model

• Rozansky-Witten theory

References

• Victor Mikhaylov, Aspects of Supergroup Chern-Simons Theories, [spire:1466706]

• Victor Mikhaylov, Analytic Torsion, 3d Mirror Symmetry, And Supergroup Chern-Simons Theories [arXiv:1505.03130]

• Nathan Geer, Matthew B. Young, Three dimensional topological quantum field theory from $U_q(\mathfrak{gl}(1\vert1))$ and $U(1\vert 1)$ Chern–Simons theory [arXiv:2210.04286]

Review:

• Matthew B. Young, Non-semisimple TFT and $U(1\vert 1)$ Chern-Simons theory, talk at QFT and Cobordism, CQTS (Mar 2023)[web, video: YT]

On integration over supermanifolds and picture changing operators in view of super Chern-Simons theory:

• C. A. Cremonini, Pietro Grassi, Pictures from Super Chern-Simons Theory (arXiv:1907.07152)

On AdS4/CFT3 duality via exceptional field theory and super Chern-Simons theory:

• Oscar Varela: Super-Chern-Simons spectra from Exceptional Field Theory, J. High Energ. Phys. 2021 283 (2021) [arXiv:2010.09743, doi:10.1007/JHEP04(2021)283]

See also:

• Niklas Garner, Wenjun Niu: Line Operators in $U(1|1)$ Chern-Simons Theory [arXiv:2304.05414]