Hidden symmetries of the Nambu-Goto action

Details Hidden symmetries of the Nambu-Goto action Hidden symmetries of the Nambu-Goto action

2006-02-16

arxiv.org/abs/hep-th/0602160v3

Phys.Lett.B641:335-337,2006

Physics

High Energy Physics

High Energy Physics - Theory

Version appearing in Phys. Lett. B . 5 pages latex

Scientific paper

10.1016/j.physletb.2006.08.050

We organize the eight variables of the four-dimensional bosonic string ({\dot X}^{\mu}, X'^{\mu}) into a 2 x 2 x 2 hypermatrix a_{AA'A''} and show that in signature (2,2) the Nambu-Goto Lagrangian is given by \sqrt{Det a} where Det is Cayley's hyperdeterminant. This is invariant not only under [SL(2,R)]^{3} but also under interchange of the indices A, A' and A''. This triality reveals hitherto hidden discrete symmetries of the Nambu-Goto action.

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