Harmonic analysis and free field realization of the takiff supergroup of GL(1|1)

Babichenko A, Creutzig T (2015)

Publication Type: Journal article

Publication year: 2015

Journal

Symmetry Integrability and Geometry-Methods and Applications National Academy of Science of Ukraine

Book Volume: 11

Article Number: 067

DOI: 10.3842/SIGMA.2015.067

Abstract

Takiff superalgebras are a family of non semi-simple Lie superalgebras that are believed to give rise to a rich structure of indecomposable representations of associated conformal field theories. We consider the Takiff superalgebra of gl(1j1), especially we perform harmonic analysis for the corresponding supergroup. We find that every simple module appears as submodule of an infinite-dimensional indecomposable but reducible module. We lift our results to two free field realizations for the corresponding conformal field theory and construct some modules.

Involved external institutions

Weizmann Institute of Science IL Israel (IL) University of Alberta CA Canada (CA)

How to cite

APA:

Babichenko, A., & Creutzig, T. (2015). Harmonic analysis and free field realization of the takiff supergroup of GL(1|1). Symmetry Integrability and Geometry-Methods and Applications, 11. https://doi.org/10.3842/SIGMA.2015.067

MLA:

Babichenko, Andrei, and Thomas Creutzig. "Harmonic analysis and free field realization of the takiff supergroup of GL(1|1)." Symmetry Integrability and Geometry-Methods and Applications 11 (2015).

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