Pure Spinor Formalism as an N=2 Topological String

Abstract

Following suggestions of Nekrasov and Siegel, a non-minimal set of fields are added to the pure spinor formalism for the superstring. Twisted $\hat{c}$=3 N=2 generators are then constructed where the pure spinor BRST operator is the fermionic spin-one generator, and the formalism is interpreted as a critical topological string. Three applications of this topological string theory include the super-Poincare covariant computation of multiloop superstring amplitudes without picture-changing operators, the construction of a cubic open superstring field theory without contact-term problems, and a new four-dimensional version of the pure spinor formalism which computes F-terms in the spacetime action.

34 pages harvmac tex

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Cited by in corpus (147)

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• The Structure of n-Point One-Loop Open Superstring Amplitudes
• 5 loops in 24/5 dimensions
• Lectures on curved beta-gamma systems, pure spinors, and anomalies
• Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism
• Multiparticle SYM equations of motion and pure spinor BRST blocks
• Analytical Solutions of Open String Field Theory
• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization
• Superstring Scattering Amplitudes with the Pure Spinor Formalism
• The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors
• Pure spinor superfields -- an overview
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• Simplifying and Extending the AdS_5xS^5 Pure Spinor Formalism
• Tree-level amplitudes from the pure spinor superstring
• Double-Copy Structure of One-Loop Open-String Amplitudes
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Y-formalism and $b$ ghost in the Non-minimal Pure Spinor Formalism of Superstrings
• Explaining the Pure Spinor Formalism for the Superstring
• Six Open String Disk Amplitude in Pure Spinor Superspace
• N=8 superfield formulation of the Bagger-Lambert-Gustavsson model
• Superfield actions for N=8 and N=6 conformal theories in three dimensions
• Towards a manifestly supersymmetric action for 11-dimensional supergravity
• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• PSS: A FORM Program to Evaluate Pure Spinor Superspace Expressions
• Towards the n-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure
• Superstrings in AdS
• The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism
• Two-loop superstring five-point amplitudes II: Low energy expansion and S-duality
• GGI Lectures on the Pure Spinor Formalism of the Superstring
• A Note on the Classical BRST Symmetry of the Pure Spinor String in a Curved Background
• Pure spinor superfields and Born-Infeld theory
• Towards the n-point one-loop superstring amplitude I: Pure spinors and superfield kinematics
• Current Algebra of the Pure Spinor Superstring in AdS(5) x S(5)
• Cohomology foundations of one-loop amplitudes in pure spinor superspace
• Explaining Pure Spinor Superspace
• One-loop Superstring Amplitude From Integrals on Pure Spinors Space
• Partition Functions of Pure Spinors
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• Higher-loop amplitudes in the non-minimal pure spinor formalism
• The two-loop superstring five-point amplitude and S-duality
• Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace
• Compactification of the Heterotic Pure Spinor Superstring I
• Simpler Superstring Scattering
• Harmonic Superspace from the $Ad{S}_5\times S^5$ Pure Spinor Formalism
• Dynamical twisting and the b ghost in the pure spinor formalism
• Loop amplitudes in maximal supergravity with manifest supersymmetry
• BRST quantization of the pure spinor superstring
• Equations of motion from Cederwall's pure spinor superspace actions
• Notes on the ambitwistor pure spinor string
• Nilpotency of the b ghost in the non-minimal pure spinor formalism
• One-loop Conformal Invariance of the Type II Pure Spinor Superstring in a Curved Background
• Worldsheet factorization for twistor-strings
• The b Ghost of the Pure Spinor Formalism is Nilpotent
• Untwisting the Pure Spinor Formalism to the RNS and Twistor String in a Flat and $Ad{S}_5\times S^5$ Background
• Two-loop superstring five-point amplitudes III, construction via the RNS formulation: even spin structures
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• Maximally twisted eleven-dimensional supergravity
• Pure spinors, twistors, and emergent supersymmetry
• Supersymmetry Breaking Effects using the Pure Spinor Formalism of the Superstring
• Taming the b antighost with Ramond-Ramond flux
• Tree-Level Color-Kinematics Duality from Pure Spinor Actions
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• First-quantized N=4 Yang-Mills
• Democratic Superstring Field Theory: Gauge Fixing
• Simplified Pure Spinor b Ghost in a Curved Heterotic Superstring Background
• Pure Spinors and D=6 Super-Yang-Mills
• Pure spinor superspace action for D=6, N=1 super-Yang-Mills theory
• Amplitudes Involving Massive States Using Pure Spinor Formalism
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• Open-closed superstring amplitudes using vertex operators in ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$
• Simplified D=11 Pure Spinor b Ghost
• Superstring field theory in the democratic picture
• Theta Expansion of First Massive Vertex Operator in Pure Spinor
• Regularizing Cubic Open Neveu-Schwarz String Field Theory
• An off-shell superspace reformulation of D=4, N=4 super-Yang-Mills theory
• Note About Classical Dynamics of Pure Spinor String on AdS_5 x S_5 Background
• Decoupling of unphysical states in the minimal pure spinor formalism I
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• Integrated Massive Vertex Operator in Pure Spinor Formalism
• Covariant Map Between Ramond-Neveu-Schwarz and Pure Spinor Formalisms for the Superstring
• Pure Spinor b-ghost in a Super-Maxwell Background
• Fermionic one-loop amplitudes of the RNS superstring
• A superfield realization of the integrated vertex operator in an $Ad{S}_5\times S^5$ background
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• Hidden exceptional symmetry in the pure spinor superstring
• Ultraviolet divergences in maximal supergravity from a pure spinor point of view
• Constrained Supermanifolds for AdS M-Theory Backgrounds
• Pure Spinor Approach to Type IIA Superstring Sigma Models and Free Differential Algebras
• Towards the underlying gauge theory of the pure spinor superstring
• An Update on Perturbative N=8 Supergravity
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• On Projections to the Pure Spinor Space
• Hybrid Formalism, Supersymmetry Reduction, and Ramond-Ramond Fluxes
• The Non-minimal Heterotic Pure Spinor String in a Curved Background
• Decoupling of unphysical states in the minimal pure spinor formalism II
• Relating the $b$ ghost and the vertex operators of the pure spinor superstring
• The Covariant Superstring on K3
• On the Relation between Hybrid and Pure Spinor String Theory
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• On the field-antifield (a)symmetry of the pure spinor superstring
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• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
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• Form factors from string amplitudes
• Taming the 11D pure spinor b-ghost
• Pure spinor formulation of the superstring and its applications
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• On pure spinor formalism for quantum superstring and spinor moving frame
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• Two-loop superstring five-point amplitudes I: Construction via chiral splitting and pure spinors
• Analytical solutions of pure-spinor superstring field theory
• A New Proposal for the Picture Changing Operators in the Minimal Pure Spinor Formalism
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• On the Pure Spinor Heterotic Superstring $b$ Ghost
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• Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance of Pure Spinor Superstring
• General fluctuations of the type II pure spinor string on curved backgrounds
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• A Projection to the Pure Spinor Space
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• General fluctuations of the heterotic pure spinor string on curved backgrounds
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• Superstring amplitudes meet surfaceology
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• A simple BRST system with quadratically constrained ghosts
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• The non-minimal type II pure spinor string in a curved background
• Holomorphic field theories and higher algebra
• On Democratic String Field Theories
• Tension between string amplitude prescriptions with presumed spacetime supersymmetry
• Origin of the Pure Spinor and Green-Schwarz Formalisms
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• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$