Non-chiral current algebras for deformed supergroup WZW models

Details Non-chiral current algebras for deformed supergroup WZW models Non-chiral current algebras for deformed supergroup WZW models

2010-11-22

arxiv.org/abs/1011.4813v2

JHEP 1103:124,2011

Physics

High Energy Physics

High Energy Physics - Theory

43 pages, Latex, one eps figure; v.2: minor corrections, a reference added

Scientific paper

10.1007/JHEP03(2011)124

We study deformed WZW models on supergroups with vanishing Killing form. The deformation is generated by the isotropic current-current perturbation which is exactly marginal under these assumptions. It breaks half of the global isometries of the original supergroup. The current corresponding to the remaining symmetry is conserved but its components are neither holomorphic nor anti-holomorphic. We obtain the exact two- and three-point functions of this current and a four-point function in the first two leading orders of a 1/k expansion but to all orders in the deformation parameter. We further study the operator product algebra of the currents, the equal time commutators and the quantum equations of motion. The form of the equations of motion suggests the existence of non-local charges which generate a Yangian. Possible applications to string theory on Anti-de Sitter spaces and to condensed matter problems are briefly discussed.

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