An Introduction to the Covariant Quantization of Superstrings

Abstract

We give an introduction to a new approach to the covariant quantization of superstrings. After a brief review of the classical Green--Schwarz superstring and Berkovits' approach to its quantization based on pure spinors, we discuss our covariant formulation without pure spinor constraints. We discuss the relation between the concept of grading, which we introduced to define vertex operators, and homological perturbation theory, and we compare our work with recent work by others. In the appendices, we include some background material for the Green-Schwarz and Berkovits formulations, in order that this presentation be self contained.

LaTex, 23 pp. Contribution to the Proceedings of the Workshop in String Theory, Leuven 2002, some references added and a comment on ref. [16]

References in corpus (16)

• Super-Poincare Covariant Quantization of the Superstring
• Consistency of Super-Poincare Covariant Superstring Tree Amplitudes
• Superstring Vertex Operators in an AdS_5 x S^5 Background
• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• Cohomology in the Pure Spinor Formalism for the Superstring
• On the Berkovits Covariant Quantization of GS Superstring
• Lorentz Invariance of the Pure Spinor BRST Cohomology for the Superstring
• Covariant Quantization of the Superstring
• The Ten-Dimensional Green-Schwarz Superstring is a Twisted Neveu-Schwarz-Ramond String
• Isomorphisms between the Batalin-Vilkovisky antibracket and the Poisson bracket
• The Covariant Quantum Superstring and Superparticle from their Classical Actions
• The big picture
• Yang-Mills Theory as an Illustration of the Covariant Quantization of Superstrings
• Particles, Superparticles and Super Yang--Mills
• Covariant Quantization of the Brink-Schwarz Superparticle
• On the Covariant Quantization of the 2nd-Ilk Superparticle

Cited by in corpus (32)

• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
• Origin of Pure Spinor Superstring
• On AdS_4 x CP^3 T-duality
• Tree-level amplitudes from the pure spinor superstring
• The Quantum Superstring as a WZNW Model with N=2 Superconformal Symmetry
• Higher genus superstring amplitudes from the geometry of moduli spaces
• Normalization of Type IIB D-instanton Amplitudes
• 3D simulations of Einstein's equations: symmetric hyperbolicity, live gauges and dynamic control of the constraints
• Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)
• Relating Green-Schwarz and Extended Pure Spinor Formalisms by Similarity Transformation
• Operator Mapping between RNS and Extended Pure Spinor Formalisms for Superstring
• Harmonic Superspace from the $Ad{S}_5\times S^5$ Pure Spinor Formalism
• Abelian and Non-abelian D-brane Effective Actions
• Covariant Multiloop Superstring Amplitudes
• BRST quantization of the pure spinor superstring
• BRST Detour Quantization
• BFT embedding of the Green-Schwarz superstring and the pure spinor formalism
• Gauging Cosets
• Pure Spinor Strings in TsT Deformed Background
• On the Covariant Quantization of Type II Superstrings
• Fermionic T-duality and U-duality in type II supergravity
• Note About Classical Dynamics of Pure Spinor String on AdS_5 x S_5 Background
• On D-Brane Boundary State Analysis in Pure-Spinor Formalism
• BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)
• N=4 Superconformal Symmetry for the Covariant Quantum Superstring
• On Projections to the Pure Spinor Space
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Closed string disk amplitudes in the pure spinor formalism
• Non-BPS D-Branes in Light-Cone Green-Schwarz Formalism
• Algebra of Lax Connection for T-Dual Models
• Non-topological non-commutativity in string theory
• Towards Pure Spinor Type Covariant Description of Supermembrane -- An Approach from the Double Spinor Formalism --