Green-Schwarz, Nambu-Goto Actions, and Cayley's Hyperdeterminant
| dc.creator | Nishino, Hitoshi | |
| dc.creator | Rajpoot, Subhash | |
| dc.date | 2007-09-07 | |
| dc.date.accessioned | 2026-07-07T10:36:24Z | |
| dc.date.available | 2026-07-07T10:36:24Z | |
| dc.description | It has been recently shown that Nambu-Goto action can be re-expressed in terms of Cayley's hyperdeterminant with the manifest SL(2,R) X SL(2,R) X SL(2,R) symmetry. In the present paper, we show that the same feature is shared by Green-Schwarz sigma-model for N=2 superstring whose target space-time is D=2+2. When its zweibein field is eliminated from the action, it contains the Nambu-Goto action which is nothing but the square root of Cayley's hyperdeterminant of the pull-back in superspace \sqrt{\hyperdet(Π_{i \a\Dot\a})} manifestly invariant under SL(2,R) X SL(2,R) X SL(2,R). The target space-time D=2+2 can accommodate self-dual supersymmetric Yang-Mills theory. Our action has also fermionic kappa-symmetry, satisfying the criterion for its light-cone equivalence to Neveu-Schwarz-Ramond formulation for N=2 superstring. | |
| dc.description | 14 pages, no figures | |
| dc.identifier | https://arxiv.org/abs/0709.0973 | |
| dc.identifier | http://arxiv.org/abs/0709.0973 | |
| dc.identifier | Phys.Lett.B652:135-140,2007 | |
| dc.identifier | doi:10.1016/j.physletb.2007.06.063 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/180037 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Green-Schwarz, Nambu-Goto Actions, and Cayley's Hyperdeterminant | |
| dc.type | text |