paper

Triality Invariance in the N=2 Superstring

arXiv:0904.2512 · doi:10.1016/j.physletb.2009.06.032

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.

11 pages, 1 figure, LaTeX. Misprints corrected in the supermatrices of eq. (5.2)

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Triality Invariance in the N=2 Superstring · wovepaper