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Triality invariance in the N=2 superstring

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 th...

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Bibliographic Details
Published in:Physics letters. B 2009-07, Vol.678 (3), p.308-312
Main Authors: Castellani, Leonardo, Grassi, Pietro Antonio, Sommovigo, Luca
Format: Article
Language:English
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Summary: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.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2009.06.032