Hybrid Superstring on AdS3 and Space-Time Superconformal Symmetry

DOI10.1143/PTP.112.699zbMATH Open1061.81062arXivhep-th/0406095MaRDI QIDQ4662717

Publication date: 30 March 2005

Published in: (Search for Journal in Brave)

Abstract: Using a hybrid formalism, superstrings on AdS(3) x S(1) are studied in a manifestly supersymmetric manner. The world-sheet fields in this description including superspace coordinates are obtained through a field redefinition from the corresponding ones in the RNS formalism. The physical states are defined with the BRST cohomology as an N=4 topological string theory. The physical spectra for some lower mass levels are investigated. We identify two series of the space-time chiral primaries which have already been obtained from the analysis in the RNS formalism. We find that they are described by the chiral and the vector supermultiplets, but the on-shell physical structure of the latter depends on whether it is massive or massless. The spece-time supersymmetry on this background is extended to the boundary N=2 uperconformal symmetry. We explicitly construct its generators and study how they act on specific supermultiplets.

Full work available at URL: https://arxiv.org/abs/hep-th/0406095

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories in gravitational theory (83E30) Supersymmetric field theories in quantum mechanics (81T60) Quantum field theory on curved space or space-time backgrounds (81T20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

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