Superstring Scattering Amplitudes with the Pure Spinor Formalism

Abstract

This thesis discusses how the pure spinor formalism can be used to efficiently compute superstring scattering amplitudes. We emphasize the pure spinor superspace form of the kinematic factors, where the simplifying features of this language have allowed an explicit relation among the massless four-point amplitudes at tree-level, one- and two-loops to be found. We show how these identities elegantly simplify the task of computing the amplitudes for all possible external state combination related by supersymmetry. In particular, the two-loop amplitudes involving fermionic states had never been computed before. By explicit calculation we show that the one- and two-loop amplitudes computed with the minimal and non-minimal formalisms are equivalent. Furthermore we compute the gauge variation of the massless six-point open string amplitude and obtain the kinematic factor related to the anomaly cancellation. We also discuss some preliminary results regarding the massless five-point amplitude at one-loop.

Ph.D Thesis from Sept. 2008, 108 pages, v2,v3: added references

References in corpus (43)

• New features of FORM
• Super-Poincare Covariant Quantization of the Superstring
• The Multithreaded version of FORM
• Pure Spinor Formalism as an N=2 Topological String
• Superbranes and Superembeddings
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• Consistency of Super-Poincare Covariant Superstring Tree Amplitudes
• Equivalence of Two-Loop Superstring Amplitudes in the Pure Spinor and RNS Formalisms
• Flat Currents in the Classical AdS_5 x S^5 Pure Spinor Superstring
• Two-loop superstrings and S-duality
• Superstring Vertex Operators in an AdS_5 x S^5 Background
• R^4, purified
• Super-Poincare Covariant Two-Loop Superstring Amplitudes
• The open superstring 5-point amplitude revisited
• Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism
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• Lorentz Invariance of the Pure Spinor BRST Cohomology for the Superstring
• One Loop Conformal Invariance of the Superstring in an AdS_5 x S^5 Background
• Supersymmetric Born-Infeld from the Pure Spinor Formalism of the Open Superstring
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• Simpler Superstring Scattering
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• Factorization of the Two Loop Four-Particle Amplitude in Superstring Theory Revisited
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• Note About Redefinition of BRST Operator for Pure Spinor String in General Background
• Superstring Sigma Model Computations Using the Pure Spinor Formalism

Cited by in corpus (35)

• Multi-loop amplitudes in maximally supersymmetric pure spinor field theory
• N-Point Tree-Level Scattering Amplitude in the New Berkovits' String
• Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization
• The Overall Coefficient of the Two-loop Superstring Amplitude Using Pure Spinors
• Pure spinor superfields -- an overview
• Tree-level amplitudes from the pure spinor superstring
• PSS: A FORM Program to Evaluate Pure Spinor Superspace Expressions
• Superstrings in AdS
• Symmetries of massless vertex operators in AdS(5) x S(5)
• One-loop Superstring Amplitude From Integrals on Pure Spinors Space
• The two-loop superstring five-point amplitude and S-duality
• Harmonic Superspace from the $Ad{S}_5\times S^5$ Pure Spinor Formalism
• Infrared properties of five-point massive amplitudes in N=4 SYM on the Coulomb branch
• Theta Expansion of First Massive Vertex Operator in Pure Spinor
• Decoupling of unphysical states in the minimal pure spinor formalism I
• Integrated Massive Vertex Operator in Pure Spinor Formalism
• On Projections to the Pure Spinor Space
• Decoupling of unphysical states in the minimal pure spinor formalism II
• Scattering of massive open strings in pure spinor
• Scattering equations, supergravity integrands, and pure spinors
• Two-Point Superstring Tree Amplitudes Using the Pure Spinor Formalism
• Two-loop superstring five-point amplitudes I: Construction via chiral splitting and pure spinors
• A generalization of the Lax pair for the pure spinor superstring in AdS5 x S5
• On pure spinor formalism for quantum superstring and spinor moving frame
• Emergence of Superstring from Pure Spinor
• A Projection to the Pure Spinor Space
• BCJ and KK Relations from BRST Symmetry and Supergravity Amplitudes
• On Supergravity Amplitudes from Pure Spinor Strings
• Divergences in maximal supersymmetric Yang-Mills theories in diverse dimensions
• Pure spinors and $D=11$ supergravity
• High Energy Behaviour in Maximally Supersymmetric Gauge Theories in Various Dimensions
• Normal form of nilpotent vector field near the tip of the pure spinor cone
• The non-minimal type II pure spinor string in a curved background
• Towards the quantization of the non-relativistic D2-brane in the Pure Spinor Formalism
• Pure spinors in AdS and Lie algebra cohomology