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arXiv · hep-th/0610316

Higher Equations of Motion in N = 1 SUSY Liouville Field Theory

A. Belavin·Al. Zamolodchikov
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Abstract

Similarly to the ordinary bosonic Liouville field theory, in its N=1 supersymmetric version an infinite set of operator valued relations, the ``higher equations of motions'', holds. Equations are in one to one correspondence with the singular representations of the super Virasoro algebra and enumerated by a couple of natural numbers $(m,n)$. We demonstrate explicitly these equations in the classical case, where the equations of type $(1,n)$ survive and can be interpreted directly as relations for classical fields. General form of the higher equations of motion is established in the quantum case, both for the Neveu-Schwarz and Ramond series.

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A. Belavin, Al. Zamolodchikov. 2006-11-10. Higher Equations of Motion in N = 1 SUSY Liouville Field Theory. https://doi.org/10.1134/s0021364006200033

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