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On deformations of 2d SCFTs

Urs Schreiber
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Abstract

Motivated by the representation of the super Virasoro constraints as generalized Dirac-K{ä}hler constraints $(d \pm d^\dagger)|ψ> = 0$ on loop space, examples of the most general continuous deformations $d \to e^{-W} d e^W$ are considered which preserve the superconformal algebra at the level of Poisson brackets. The deformations which induce the massless NS and NS-NS backgrounds are exhibited. Hints for a manifest realization of S-duality in terms of an algebra isomorphism are discussed. It is shown how the first order theory of 'canonical deformations' is reproduced and how the deformation operator $W$ encodes vertex operators and gauge transformations.

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Urs Schreiber. 2004-07-20. On deformations of 2d SCFTs. https://doi.org/10.1088/1126-6708%2F2004%2F06%2F058

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