Supersymmetric deformations of F1-NS5-branes and their exact CFT description

Details Supersymmetric deformations of F1-NS5-branes and their exact CFT description Supersymmetric deformations of F1-NS5-branes and their exact CFT description

2009-05-11

arxiv.org/abs/0905.1623v2

JHEP 0909:085,2009

Physics

High Energy Physics

High Energy Physics - Theory

30+1 pages, 1 table; v2 minor changes, version to appear in JHEP

Scientific paper

10.1088/1126-6708/2009/09/085

We consider certain classes of operators in the exact conformal field theory SL(2,R) x SU(2) x U(1)^4 describing strings in an AdS(3) x S(3) x T4 geometry supported by Neveu--Schwarz 3-form fluxes. This background arises in the near-horizon limit of a system of NS5-branes wrapped on a 4-torus and F1-branes smeared on the 4-torus when both types of branes are located at the same point in their common transverse space. We find a class of operators that lead to spacetime supersymmetric deformations. It is remarkable that most of these operators are not chiral primary with respect to the N=2 superconformal algebra on the wordsheet. A subset of these worldsheet conformal field theory deformations admits an interpretation either as a geometric deformation of the brane system or as a deformation of the distribution of the F1-branes, viewed as smooth instantons, inside the wrapped NS5-brane worldvolume. The 2-dimensional conformal field theory, however, seems to lack operators corresponding to arbitrary NS5-brane deformations, in contrast to pure NS5-brane systems where all geometric deformations can be accounted for by chiral primary operators.

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