N = 2 worldsheet instantons yield cubic self-dual Yang-Mills

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Original languageEnglish
Pages (from-to)49-54
Number of pages6
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume405
Issue number1-2
Publication statusPublished - 17 Jul 1997
Externally publishedYes

Abstract

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 ℝ2,2 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, Plebański'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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N = 2 worldsheet instantons yield cubic self-dual Yang-Mills. / Lechtenfeld, Olaf; Siegel, Warren.
In: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 405, No. 1-2, 17.07.1997, p. 49-54.

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