NS5-branes on an ellipsis and novel marginal deformations with parafermions

Abstract

We consider NS5-branes distributed along the circumference of an ellipsis and explicitly construct the corresponding gravitational background. This provides a continuous line of deformations between the limiting cases, considered before, in which the ellipsis degenerates into a circle or into a bar. We show that a slight deformation of the background corresponding to a circle distribution into an ellipsoidal one is described by a novel non-factorizable marginal perturbation of bilinears of dressed parafermions. The latter are naturally defined for the circle case since, as it was shown in the past, the background corresponds to an orbifold of the exact conformal field theory coset model SU(2)/U(1) times SL(2,R)/U(1). We explore the possibility to define parafermionic objects at generic points of the ellipsoidal families of backgrounds away from the circle point. We also discuss a new limiting case in which the ellipsis degenerates into two infinitely stretched parallel bars and show that the background is related to the Eguchi-Hanson metric, via T-duality.

arXiv comment24 pages

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• Integrable interpolations: From exact CFTs to non-Abelian T-duals
• Stringy Structure at the BPS Bound
• Integrable asymmetric $\lambda$-deformations
• Non-Abelian coset string backgrounds from asymptotic and initial data
• Supersymmetric moduli of the SU(2) x R linear dilaton background and NS5-branes
• Supersymmetric deformations of F1-NS5-branes and their exact CFT description
• Asymptotic Symmetries of Three-Dimensional Black Strings
• Holographic approach to deformations of NS5-brane distributions and exact CFTs
• SUSY Enhancements in (0,4) Deformations of AdS_3/CFT_2
• NS5-branes, holography and CFT deformations
• Parafermions, Brane Distributions and FRW Hierarchies