Vertex Operators for Closed Superstrings

Abstract

We construct an iterative procedure to compute the vertex operators of the closed superstring in the covariant formalism given a solution of IIA/IIB supergravity. The manifest supersymmetry allows us to construct vertex operators for any generic background in presence of Ramond-Ramond (RR) fields. We extend the procedure to all massive states of open and closed superstrings and we identify two new nilpotent charges which are used to impose the gauge fixing on the physical states. We solve iteratively the equations of the vertex for linear x-dependent RR field strengths. This vertex plays a role in studying non-constant C-deformations of superspace. Finally, we construct an action for the free massless sector of closed strings, and we propose a form for the kinetic term for closed string field theory in the pure spinor formalism.

TeX, harvmac, amssym.tex, 41 pp; references added

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• 5 loops in 24/5 dimensions
• Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism
• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• Origin of Pure Spinor Superstring
• The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors
• Six Open String Disk Amplitude in Pure Spinor Superspace
• Higher genus superstring amplitudes from the geometry of moduli spaces
• Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace
• The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism
• One-loop Superstring Amplitude From Integrals on Pure Spinors Space
• Higher-loop amplitudes in the non-minimal pure spinor formalism
• The two-loop superstring five-point amplitude and S-duality
• D=2, N=2 Supersymmetric sigma models on Non(anti)commutative Superspace
• D-Brane Boundary States in the Pure Spinor Superstring
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• Flux Vacua and Supermanifolds
• Non(anti)commutative superspace with coordinate-dependent deformation
• Fermionic superstring loop amplitudes in the pure spinor formalism
• Theta Expansion of First Massive Vertex Operator in Pure Spinor
• N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
• Integrated Massive Vertex Operator in Pure Spinor Formalism
• A superfield realization of the integrated vertex operator in an $Ad{S}_5\times S^5$ background
• T-dualization of type II superstring theory in double space
• On D-Brane Boundary State Analysis in Pure-Spinor Formalism
• Constrained Supermanifolds for AdS M-Theory Backgrounds
• DDF Construction and D-Brane Boundary States in Pure Spinor Formalism
• Recovery of Full N=1 Supersymmetry in Non(anti-)commutative Superspace
• N=4 Superconformal Symmetry for the Covariant Quantum Superstring
• Scattering of massive open strings in pure spinor
• Closed string disk amplitudes in the pure spinor formalism
• Quantum Mechanics in Non(Anti)Commutative Superspace
• Vertex operators for the plane wave pure spinor string
• Noncommutativity and nonassociativity of type II superstring with coordinate dependent RR field
• Non-BPS D-Branes in Light-Cone Green-Schwarz Formalism
• A coordinate-dependent superspace deformation from string theory
• Supersymmetric DBI Equations in Diverse Dimensions from BRS Invariance of Pure Spinor Superstring
• Advantage of the second-order formalism in double space T-dualization of type II superstring
• Noncommutativity and nonassociativity of type II superstring with coordinate dependent RR field -- the general case
• Combined fermionic and bosonic T-duality of type II superstring theory with coordinate dependent RR field
• Simultaneous T-dualization of type II pure spinor superstring
• Towards Pure Spinor Type Covariant Description of Supermembrane -- An Approach from the Double Spinor Formalism --
• Double space T-dualization and coordinate dependent RR