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arXiv · 1906.08220

Non-Relativistic Four Dimensional p-Brane Supersymmetric Theories and Lie Algebra Expansion

Luca Romano
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Abstract

We apply the Lie algebra expansion method to the $\mathcal{N}=1$ super-Poincar\'e algerba in four dimensions. We define a set of p-brane projectors that induce a decomposition of the super-Poincar\'e algebra preparatory for the expansion. We show that starting from the $\mathcal{N}=1$ supergravity action in four dimensions it is possible to obtain two non-relativistic supersymmetric theories, one describing strings, the other membranes.

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Luca Romano. 2019-06-19. Non-Relativistic Four Dimensional p-Brane Supersymmetric Theories and Lie Algebra Expansion. https://doi.org/10.1088/1361-6382%2Fab8bbc

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