N=2 Worldsheet Instantons Yield Cubic Self-Dual Yang-Mills

Details N=2 Worldsheet Instantons Yield Cubic Self-Dual Yang-Mills N=2 Worldsheet Instantons Yield Cubic Self-Dual Yang-Mills

1997-04-09

arxiv.org/abs/hep-th/9704076v1

Phys.Lett. B405 (1997) 49-54

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, no figures, LaTeX (amsbsy,latexsym)

Scientific paper

10.1016/S0370-2693(97)00595-9

When the gauge instantons on the N=2 string worldsheet are properly included in the sum over topologies, the breaking of SO(2,2) Lorentz symmetry in R^{2,2} is parametrized by a spacetime twistor containing the string coupling and theta angle. The resulting (tree-level) effective action for the open string is not Yang's but Leznov's cubic action for self-dual Yang-Mills in a light-cone gauge. In the closed case, Plebanski's action for self-dual gravity gets modified analogously. In contrast to the N=1 NSR string, picture-changing is not locally invertible, but produces a semi-infinite tower of massless physical states with ever-increasing spin, perhaps related to harmonic superspace. A truncation yields the two-field action of Chalmers and Siegel.

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