# Duality group actions on fermions

@article{Pantev2016DualityGA, title={Duality group actions on fermions}, author={Tony Pantev and Eric Sharpe}, journal={Journal of High Energy Physics}, year={2016}, volume={2016}, pages={1-17} }

A bstractIn this short paper we look at the action of T-duality and string duality groups on fermions, in maximally-supersymmetric theories and related theories. Briefly, we argue that typical duality groups such as SL(2, ℤ) have sign ambiguities in their actions on fermions, and propose that pertinent duality groups be extended by ℤ2, to groups such as the metaplectic group. Specifically, we look at duality groups arising from mapping class groups of tori in M theory compactifications, T…

## 14 Citations

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In this article we review how categorical equivalences are realized by renormalization group flow in physical realizations of stacks, derived categories, and derived schemes. We begin by reviewing…

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