Towards the underlying gauge theory of the pure spinor superstring

Abstract

Previous attempts to determine the worldsheet origin of the pure spinor formalism were not completely successful, but introduced important concepts that seem to be connected to its fundamental structure, e.g., emergent supersymmetry and the role of reparametrization symmetry. In this work, a new proposal towards the underlying gauge theory of the pure spinor superstring is presented, based on an extension of Berkovits' twistor-like constraint. The gauge algebra is analyzed in detail and worldsheet reparametrization is shown to be a redundant symmetry. The master action is built with a careful account of the intrinsic gauge symmetries associated with the pure spinor constraint and a consistent gauge fixing is performed. After a field redefinition, spacetime supersymmetry emerges and the resulting action describes the pure spinor superstring.

v1: 12 pages, short version presenting the results; v2: 36 pages, extended version containing a thorough analysis of the gauge algebra, the explicit construction of the pure spinor master action and some side results; v3: 37 pages, title changed, minor improvements and references added, published version

References in corpus (7)

• Towards the n-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure
• Towards the n-point one-loop superstring amplitude II: Worldsheet functions and their duality to kinematics
• Towards the n-point one-loop superstring amplitude I: Pure spinors and superfield kinematics
• Connecting the ambitwistor and the sectorized heterotic strings
• BRST quantization of the pure spinor superstring
• Supersymmetry Breaking Effects using the Pure Spinor Formalism of the Superstring
• Quantization of the particle with a linear massless solution

Cited by in corpus (5)

• Chiral strings, the sectorized description and their integrated vertex operators
• Relating the $b$ ghost and the vertex operators of the pure spinor superstring
• Two-Point Superstring Tree Amplitudes Using the Pure Spinor Formalism
• Green-Schwarz and Pure Spinor Formulations of Chiral Strings
• The non-minimal type II pure spinor string in a curved background