ICTP Lectures on Covariant Quantization of the Superstring

Abstract

These ICTP Trieste lecture notes review the pure spinor approach to quantizing the superstring with manifest D=10 super-Poincare invariance. The first section discusses covariant quantization of the superparticle and gives a new proof of equivalence with the Brink-Schwarz superparticle. The second section discusses the superstring in a flat background and shows how to construct vertex operators and compute tree amplitudes in a manifestly super-Poincare covariant manner. And the third section discusses quantization of the superstring in curved backgrounds which can include Ramond-Ramond flux.

43 pages harvmac

References in corpus (11)

• Type IIB superstring action in AdS_5 x S^5 background
• Super-Poincare Covariant Quantization of the Superstring
• Superstring Theory on AdS_2 x S^2 as a Coset Supermanifold
• Consistency of Super-Poincare Covariant Superstring Tree Amplitudes
• Superstring Vertex Operators in an AdS_5 x S^5 Background
• Towards Covariant Quantization of the Supermembrane
• Covariant Quantization of Superstrings Without Pure Spinor Constraints
• On the Berkovits Covariant Quantization of GS Superstring
• Calculation of Green-Schwarz Superstring Amplitudes Using the N=2 Twistor-String Formalism
• A twistor formulation of the heterotic D=10 superstring with manifest (8,0) worldsheet supersymmetry
• The Ten-Dimensional Green-Schwarz Superstring is a Twisted Neveu-Schwarz-Ramond String

Cited by in corpus (105)

• Non-commutative superspace from string theory
• Explicit BCJ Numerators from Pure Spinors
• Pure Spinor Formalism as an N=2 Topological String
• Generalizations of the AdS/CFT correspondence
• Towards one-loop SYM amplitudes from the pure spinor BRST cohomology
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• The Structure of n-Point One-Loop Open Superstring Amplitudes
• Lectures on curved beta-gamma systems, pure spinors, and anomalies
• Covariant One-Loop Amplitudes in D=11
• Analytical Solutions of Open String Field Theory
• Relating the Green-Schwarz and Pure Spinor Formalisms for the Superstring
• Origin of Pure Spinor Superstring
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors
• A note on the UV behaviour of maximally supersymmetric Yang-Mills theories
• A New First Class Algebra, Homological Perturbation and Extension of Pure Spinor Formalism for Superstring
• Tree-level amplitudes from the pure spinor superstring
• Six Open String Disk Amplitude in Pure Spinor Superspace
• The algebra of flat currents for the string on AdS_5 x S^5 in the light-cone gauge
• Superfield actions for N=8 and N=6 conformal theories in three dimensions
• Higher genus superstring amplitudes from the geometry of moduli spaces
• Algorithmic construction of SYM multiparticle superfields in the BCJ gauge
• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• T-duality in Ramond-Ramond backgrounds
• PSS: A FORM Program to Evaluate Pure Spinor Superspace Expressions
• Superstrings in AdS
• Super-Chern-Simons Theory as Superstring Theory
• "Massive" Higher Spin Multiplets and Holography
• Higher Spins and Stringy AdS5xS5
• Cyclicity of non-associative products on D-branes
• Supersymmetric Wilson loops in N=4 SYM and pure spinors
• Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)
• Higher Derivative Supergravities in Diverse Dimensions
• Geometries, Non-Geometries, and Fluxes
• Partition Functions of Pure Spinors
• Lower-dimensional pure-spinor superstrings
• Compactification of the Heterotic Pure Spinor Superstring I
• Higher spin symmetry (breaking) in N=4 SYM theory and holography
• A Lie bracket for the momentum kernel
• Harmonic Superspace from the $Ad{S}_5\times S^5$ Pure Spinor Formalism
• Half-maximal supergravity in three dimensions: supergeometry, differential forms and algebraic structure
• Quantum Field Theory as Effective BV Theory from Chern-Simons
• Covariant Multiloop Superstring Amplitudes
• Equations of motion from Cederwall's pure spinor superspace actions
• Forms and algebras in (half-)maximal supergravity theories
• Maximal supergravity in D=10: forms, Borcherds algebras and superspace cohomology
• Partition Functions, Localization, and the Chiral de Rham complex
• Harmonic Superspaces from Superstrings
• Gauging Cosets
• Pure Spinors and D=6 Super-Yang-Mills
• Noncommutative Supersymmetric/Integrable Models and String Theory
• Flux Vacua and Supermanifolds
• Orbifold Phases of Heterotic Flux Vacua
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• Pure Spinor Strings in TsT Deformed Background
• Self-Dual Super-Yang-Mills as a String Theory in $(x,\theta )$ Space
• On the Covariant Quantization of Type II Superstrings
• Exploring The Lambda Model Of The Hybrid Superstring
• A toy model for background independent string field theory
• The geometry of pure spinor space
• Simplified D=11 Pure Spinor b Ghost
• On the equivalence of the 11D pure spinor and Brink-Schwarz-like superparticle cohomologies
• Superstring field theory in the democratic picture
• Theta Expansion of First Massive Vertex Operator in Pure Spinor
• Decoupling of unphysical states in the minimal pure spinor formalism I
• N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
• Fermionic T-duality and U-duality in type II supergravity
• Type I background fields in terms of type IIB ones
• Integrated Massive Vertex Operator in Pure Spinor Formalism
• Note About Classical Dynamics of Pure Spinor String on AdS_5 x S_5 Background
• A Universality in PP-Waves
• Pure Spinor b-ghost in a Super-Maxwell Background
• String Theories on Flat Supermanifolds
• Topological M Theory from Pure Spinor Formalism
• On a coordinate independent description of string worldsheet theory
• BRST Invariance of Non-local Charges and Monodromy Matrix of Bosonic String on AdS(5)xS(5)
• DDF Construction and D-Brane Boundary States in Pure Spinor Formalism
• Heterotic supergeometry revisited
• Decoupling of unphysical states in the minimal pure spinor formalism II
• D-branes from Pure Spinor Superstring in AdS_5 x S^5 Background
• The Covariant Superstring on K3
• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Two-Point Superstring Tree Amplitudes Using the Pure Spinor Formalism
• Klein and Conformal Superspaces, Split Algebras and Spinor Orbits
• Scattering equations, supergravity integrands, and pure spinors
• Black Hole Partition Function using Hybrid Formalism of Superstrings
• Noncommutativity relations in type IIB theory and their supersymmetry
• Compactification of the Heterotic Pure Spinor Superstring II
• Dirichlet boundary conditions in type IIB superstring theory and fermionic T-duality
• Spin fields for the spinning particle
• Spinning membranes on $Ad{S}_p\times S^q$
• Emergence of Superstring from Pure Spinor
• Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance of Pure Spinor Superstring
• Pure spinor superfields, with application to D=3 conformal models
• Lectures on Naturalness, String Landscape and Multiverse
• Recent Trends in Superstring Phenomenology
• Analytical solutions of pure-spinor superstring field theory
• Mapping between the classical and pseudoclassical models of a relativistic spinning particle in external bosonic and fermionic fields. I
• Phenomenological implications of $S$-duality symmetry
• Comments on Equations of Motion for Pure Spinors in Even Dimensions
• Superstring Sigma Model Computations Using the Pure Spinor Formalism
• Computations of superstring amplitudes in pure spinor formalism via Cadabra
• Pure spinors and $D=11$ supergravity
• Mapping between the classical and pseudoclassical models of a relativistic spinning particle in external bosonic and fermionic fields. II
• N=1 supersymmetric Yang-Mills theory in d=4 and its Batalin-Vilkovisky quantization by spinor superfields