Large N WZW Field Theory Of N=2 Strings

Details Large N WZW Field Theory Of N=2 Strings Large N WZW Field Theory Of N=2 Strings

1997-06-30

arxiv.org/abs/hep-th/9706223v5

Phys.Lett. B416 (1998) 334-340

Physics

High Energy Physics

High Energy Physics - Theory

This is the final version. By editorial mistake at Phys.Lett.B an older version was published in print

Scientific paper

10.1016/S0370-2693(97)01251-3

We explore the quantum properties of self-dual gravity formulated as a large $N$ two-dimensional WZW sigma model. Using a non-trivial classical background, we show that a $(2,2)$ space-time is generated. The theory contains an infinite series of higher point vertices. At tree level we show that, in spite of the presence of higher than cubic vertices, the on-shell 4 and higher point functions vanish, indicating that this model is related with the field theory of closed N=2 strings. We examine the one-loop on-shell 3-point amplitude and show that it is ultra-violet finite.

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