Non-Critical Pure Spinor Superstrings

Abstract

We construct non-critical pure spinor superstrings in two, four and six dimensions. We find explicitly the map between the RNS variables and the pure spinor ones in the linear dilaton background. The RNS variables map onto a patch of the pure spinor space and the holomorphic top form on the pure spinor space is an essential ingredient of the mapping. A basic feature of the map is the requirement of doubling the superspace, which we analyze in detail. We study the structure of the non-critical pure spinor space, which is different from the ten-dimensional one, and its quantum anomalies. We compute the pure spinor lowest lying BRST cohomology and find an agreement with the RNS spectra. The analysis is generalized to curved backgrounds and we construct as an example the non-critical pure spinor type IIA superstring on AdS_4 with RR 4-form flux.

LaTeX2e, 76 pages, no figures, JHEP style; v2: references and acknowledgments added, typos corrected; v3: typos corrected and minor changes to match published version

References in corpus (26)

• Type IIB superstring action in AdS_5 x S^5 background
• Super-Poincare Covariant Quantization of the Superstring
• The wall of the cave
• Holography for Non-Critical Superstrings
• Ten-Dimensional Supergravity Constraints from the Pure Spinor Formalism for the Superstring
• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
• Quantum Consistency of the Superstring in AdS_5 x S^5 Background
• LSZ in LST
• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• Massive Superstring Vertex Operator in D=10 Superspace
• On the Berkovits Covariant Quantization of GS Superstring
• The Superembedding Origin of the Berkovits Pure Spinor Covariant Quantization of Superstrings
• Relating the RNS and Pure Spinor Formalisms for the Superstring
• Notes on Non-Critical Superstrings in Various Dimensions
• Conformal Fixed Points of Unidentified Gauge Theories
• Origin of Pure Spinor Superstring
• The Character of Pure Spinors
• Brst Cohomology and Physical States in 2D Supergravity Coupled to $\hat{c}\le 1$ Matter
• Observations On The Moduli Space Of Two Dimensional String Theory
• Ground ring for the 2D NSR string
• Lower-dimensional pure-spinor superstrings
• Partition Functions of Pure Spinors
• Non-Supersymmetric Deformations of Non-Critical Superstrings
• Pure-spinor superstrings in d=2,4,6
• BFT embedding of the Green-Schwarz superstring and the pure spinor formalism
• On Type II Strings in Two Dimensions

Cited by in corpus (8)

• Pohlmeyer reduction of AdS_5 x S^5 superstring sigma model
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Superstrings in AdS
• Compactification of the Heterotic Pure Spinor Superstring I
• The Pure Spinor Formulation of Superstrings
• On the Relation between Hybrid and Pure Spinor String Theory
• Compactification of the Heterotic Pure Spinor Superstring II
• Fermionic T-duality and Morita Equivalence