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arXiv · 0904.2512

Triality Invariance in the N=2 Superstring

Leonardo Castellani·Pietro Antonio Grassi·Luca Sommovigo
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Abstract

We prove the discrete triality invariance of the N=2 NSR superstring moving in a D=2+2 target space. We find that triality holds also in the Siegel-Berkovits formulation of the selfdual superstring. A supersymmetric generalization of Cayley's hyperdeterminant, based on a quartic invariant of the SL(2|1)^3 superalgebra, is presented.

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Leonardo Castellani, Pietro Antonio Grassi, Luca Sommovigo. 2009-05-14. Triality Invariance in the N=2 Superstring. https://doi.org/10.1016/j.physletb.2009.06.032

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