Nonlinear realization approach to topologically massive supergravity

Sergei M. Kuzenko, Jake C. Stirling

Research output: Contribution to journalArticlepeer-review


We develop a nonlinear realization approach to topologically massive supergravity in three dimensions, with and without a cosmological term. It is a natural generalization of a similar construction for N=1 supergravity in four dimensions, which was recently proposed by one of us. At the heart of both formulations is the nonlinear realization approach to gravity which was given by Volkov and Soroka 50 years ago in the context of spontaneously broken local supersymmetry. In our setting, the action for cosmological topologically massive supergravity is invariant under two different local supersymmetries. One of them acts on the Goldstino, while the other supersymmetry leaves the Goldstino invariant. The former can be used to gauge away the Goldstino, and then the resulting action coincides with that given in the literature.

Original languageEnglish
Article number20230350
JournalProceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2277
Publication statusPublished - 6 Sept 2023


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