Restoring Reality for the Self-Dual N=2 String

Details Restoring Reality for the Self-Dual N=2 String Restoring Reality for the Self-Dual N=2 String

1996-08-29

arxiv.org/abs/hep-th/9608196v1

Phys.Lett. B390 (1997) 153-160

Physics

High Energy Physics

High Energy Physics - Theory

13 pages + 1 figure, 44 kb, plain LaTeX

Scientific paper

10.1016/S0370-2693(96)01365-2

It is known that the critical N=(2,2) string describes 2+2 dimensional self-dual gravity in a non-covariant form, since it requires the choice of a complex structure in the target, which leaves only U(1,1) Lorentz symmetry. We briefly review picture-changing and spectral flow and show that the world-sheet Maxwell instantons individually break the Lorentz group further to SU(1,1). However, their contributions conspire to restore full SO(2,2) global symmetry if dilaton and axion fields are assembled in a null anti-self-dual two-form, denying them the status of Lorentz scalars. We present the fully SO(2,2) invariant tree-level three-point amplitude and the corresponding extension of the Plebanski action for self-dual gravity.

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