Triality Invariance in the N=2 Superstring

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)

References in corpus (6)

• String triality, black hole entropy and Cayley's hyperdeterminant
• The N=2(4) string is self-dual N=4 Yang-Mills
• Green-Schwarz Formulation of Self-Dual Superstring
• Hidden symmetries of the Nambu-Goto action
• Self-Dual Super-Yang-Mills as a String Theory in $(x,\theta )$ Space
• Green-Schwarz, Nambu-Goto Actions, and Cayley's Hyperdeterminant

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