Pure-spinor superstrings in d=2,4,6

Abstract

We continue the study of the d=2,4,6 pure-spinor superstring models introduced in [1]. By explicitly solving the pure-spinor constraint we show that these theories have vanishing central charge and work out the (covariant) current algebra for the Lorentz currents. We argue that these super-Poincare covariant models may be thought of as compactifications of the superstring on CY_{4,3,2}, and take some steps toward making this precise by constructing a map to the RNS superstring variables. We also discuss the relation to the so called hybrid superstrings, which describe the same type of compactifications.

27 pages

References in corpus (6)

• 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
• Covariant One-Loop Amplitudes in D=11
• BRST Cohomology and Nonlocal Conserved Charges
• On the cohomology and inner products of the Berkovits superparticle and superstring
• D-Brane Boundary States in the Pure Spinor Superstring

Cited by in corpus (9)

• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Partition Functions of Pure Spinors
• Lower-dimensional pure-spinor superstrings
• Non-Critical Pure Spinor Superstrings
• N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
• On the Relation between Hybrid and Pure Spinor String Theory
• Compactification of the Heterotic Pure Spinor Superstring II
• Fermionic T-duality and Morita Equivalence
• Towards Pure Spinor Type Covariant Description of Supermembrane -- An Approach from the Double Spinor Formalism --