Triality Invariance in the N=2 Superstring
High Energy Physics - Theory
2009-07-24 v2
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.
Cite
@article{arxiv.0904.2512,
title = {Triality Invariance in the N=2 Superstring},
author = {Leonardo Castellani and Pietro Antonio Grassi and Luca Sommovigo},
journal= {arXiv preprint arXiv:0904.2512},
year = {2009}
}
Comments
11 pages, 1 figure, LaTeX. Misprints corrected in the supermatrices of eq. (5.2)