D=4 Pure Spinor Superstring and N=2 Strings

Abstract

We study the compactification of the pure spinor superstring down to four dimensions. We find that the compactified string is described by a conformal invariant system for both the four dimensional and for the compact six dimensional variables. The four dimensional sector is found to be invariant under a non-critical N=2 superconformal transformations.

Reference added and minor corrections

References in corpus (19)

• Super-Poincare Covariant Quantization of the Superstring
• Conformal Field Theory of AdS Background with Ramond-Ramond Flux
• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• 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
• Consistency of Super-Poincare Covariant Superstring Tree Amplitudes
• Superstring Vertex Operators in an AdS_5 x S^5 Background
• Cohomology in the Pure Spinor Formalism for the Superstring
• Massive Superstring Vertex Operator in D=10 Superspace
• Relating the Green-Schwarz and Pure Spinor Formalisms for the Superstring
• The Superembedding Origin of the Berkovits Pure Spinor Covariant Quantization of Superstrings
• Lorentz Invariance of the Pure Spinor BRST Cohomology for the Superstring
• One Loop Conformal Invariance of the Superstring in an AdS_5 x S^5 Background
• Quantization of the Type II Superstring in a Curved Six-Dimensional Background
• Quantization of the Superstring with Manifest U(5) Super-Poincare Invariance
• Conformal Invariance of the Pure Spinor Superstring in a Curved Background
• BFT embedding of the Green-Schwarz superstring and the pure spinor formalism
• Harmonic Superspaces from Superstrings

Cited by in corpus (5)

• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Compactification of the Heterotic Pure Spinor Superstring I
• Compactification of the Heterotic Pure Spinor Superstring II
• Towards Pure Spinor Type Covariant Description of Supermembrane -- An Approach from the Double Spinor Formalism --