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Vacuum solutions in the Neveu-Schwarz field theory of a fermionic string and the zero-curvature representation in graded spaces
Authors:I Ya Arefeva  R V Gorbachev  P B Medvedev
Institution:(1) Steklov Mathematical Institute, RAS, Moscow, Russia;(2) Institute for Theoretical and Experimental Physics, Moscow, Russia
Abstract:We demonstrate that vacuum solutions in the Neveu-Schwarz field theory of a fermionic string incorporating the GSO(−) sector are naturally related to the zero-curvature representation in a graded space of special form. We use the same representation to describe the equivalence of the cubic and nonpolynomial theories with the GSO(−) sector also taken into account. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 159, No. 1, pp. 131–141, April, 2009.
Keywords:string field theory  zero-curvature representation  pure gauge solution
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