Towards the n-point one-loop superstring amplitude I: Pure spinors and superfield kinematics

Abstract

This is the first installment of a series of three papers in which we describe a method to determine higher-point correlation functions in one-loop open-superstring amplitudes from first principles. In this first part, we exploit the synergy between the cohomological features of pure-spinor superspace and the pure-spinor zero-mode integration rules of the one-loop amplitude prescription. This leads to the study of a rich variety of multiparticle superfields which are local, have covariant BRST variations, and are compatible with the particularities of the pure-spinor amplitude prescription. Several objects related to these superfields, such as their non-local counterparts and the so-called BRST pseudo-invariants, are thoroughly reviewed and put into new light. Their properties will turn out to be mysteriously connected to products of one-loop worldsheet functions in packages dubbed "generalized elliptic integrands", whose prominence will be seen in the later parts of this series of papers.

72 pp, v2 published version

References in corpus (10)

• Minimal Basis for Gauge Theory Amplitudes
• The Momentum Kernel of Gauge and Gravity Theories
• Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism
• Multiparticle SYM equations of motion and pure spinor BRST blocks
• The One-Loop Five-Graviton Amplitude and the Effective Action
• Double-Copy Structure of One-Loop Open-String Amplitudes
• Towards the n-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure
• The One-loop Open Superstring Massless Five-point Amplitude with the Non-Minimal Pure Spinor Formalism
• Towards the n-point one-loop superstring amplitude II: Worldsheet functions and their duality to kinematics
• Towards the n-point one-loop superstring amplitude I: Pure spinors and superfield kinematics

Cited by in corpus (19)

• Tree-level amplitudes from the pure spinor superstring
• All-order differential equations for one-loop closed-string integrals and modular graph forms
• One-loop Correlators and BCJ Numerators from Forward Limits
• Algorithmic construction of SYM multiparticle superfields in the BCJ gauge
• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• Towards the n-point one-loop superstring amplitude III: One-loop correlators and their double-copy structure
• Monodromy relations from twisted homology
• Superstring loop amplitudes from the field theory limit
• Towards the n-point one-loop superstring amplitude II: Worldsheet functions and their duality to kinematics
• Towards the n-point one-loop superstring amplitude I: Pure spinors and superfield kinematics
• On integrands and loop momentum in string and field theory
• All-order alpha'-expansion of one-loop open-string integrals
• Perfecting one-loop BCJ numerators in SYM and supergravity
• Local BCJ numerators for ten-dimensional SYM at one loop
• One-loop diagrams with quadratic propagators from the worldsheet
• Towards the underlying gauge theory of the pure spinor superstring
• Pure spinor formulation of the superstring and its applications
• KK-like relations of ${\alpha }^{\prime }$ corrections to disk amplitudes
• Tension between string amplitude prescriptions with presumed spacetime supersymmetry