Covariant Quantization of Superstrings Without Pure Spinor Constraints

Abstract

We construct a covariant quantum superstring, extending Berkovits' approach by introducing new ghosts to relax the pure spinor constraints. The central charge of the underlying Kac-Moody algebra, which would lead to an anomaly in the BRST charge, is treated as a new generator with a new b-c system. We construct a nilpotent BRST current, an anomalous ghost current and an anomaly-free energy-momentum tensor. For open superstrings, we find the correct massless spectrum. In addition, we construct a Lorentz invariant B-field to be used for the computation of the integrated vertex operators and amplitudes.

30 pages

References in corpus (4)

• The structure of maximally supersymmetric Yang-Mills theory: constraining higher-order corrections
• Relating the RNS and Pure Spinor Formalisms for the Superstring
• Lorentz Invariance of the Pure Spinor BRST Cohomology for the Superstring
• D=10 Super-Yang-Mills at O(alpha'^2)

Cited by in corpus (74)

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