On deformations of 2d SCFTs

Abstract

Motivated by the representation of the super Virasoro constraints as generalized Dirac-K{ä}hler constraints $(d\pm d^{†})|\psi >=0$ 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.

44 pages, no figures, discussion of relation to canonical deformations and vertex operators added, typos corrected

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Cited by in corpus (7)

• Higher Gauge Theory: 2-Connections on 2-Bundles
• From Loop Space Mechanics to Nonabelian Strings
• DDF and Pohlmeyer invariants of (super)string
• Nonabelian 2-forms and loop space connections from SCFT deformations
• Covariant Hamiltonian evolution in supersymmetric quantum systems
• Super-Pohlmeyer invariants and boundary states for non-abelian gauge fields
• On a semi-classical limit of loop space quantum mechanics