Yang-Mills Theory as an Illustration of the Covariant Quantization of Superstrings

Abstract

We present a new approach to the quantization of the superstring. After a brief review of the classical Green-Schwarz formulation for the superstring and Berkovits' approach to its quantization based on pure spinors, we discuss our formulation without pure spinor constraints. In order to illustrate the ideas on which our work is based, we apply them to pure Yang-Mills theory. In the appendices, we include some background material for the Green-Schwarz and Berkovits formulations, in order that this presentation be self contained.

arXiv commentHarvmac, 21 pp. To appear in the proceedings of the Third Sacharov Conference, Moscow 2002

References in corpus (3)

• Super-Poincare Covariant Quantization of the Superstring
• The Covariant Quantum Superstring and Superparticle from their Classical Actions
• Covariant Quantization of the Brink-Schwarz Superparticle

Cited by in corpus (11)

• Origin of Pure Spinor Superstring
• A New First Class Algebra, Homological Perturbation and Extension of Pure Spinor Formalism for Superstring
• An Introduction to the Covariant Quantization of Superstrings
• The Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry
• Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)
• Pure Spinor Strings in TsT Deformed Background
• Note About Classical Dynamics of Pure Spinor String on AdS_5 x S_5 Background
• Topological M Theory from Pure Spinor Formalism
• BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Nambu-Goto Like Action for the AdS_5 x S^5 Superstrings in the Generalized Light-Cone Gauge