Multiparticle SYM equations of motion and pure spinor BRST blocks

Abstract

In this paper a multiparticle generalization of linearized ten-dimensional super Yang--Mills superfields is proposed. Their equations of motions are shown to take the same form as in the single-particle case, supplemented by contact terms. A recursive construction of these superfields is inspired by the iterated OPEs among massless vertex operators in the pure spinor formalism. An enlarged set of BRST-covariant pure spinor blocks is then defined in a streamlined fashion and combined to multiparticle vertex operators. The latter can be used to universally describe tree-level subdiagrams in the perturbative open and closed superstring, regardless of the loop order. The inherent symmetries of the multiparticle superfields are reproduced by structure constants of the gauge group, hinting a natural appearance of the BCJ-duality between color and kinematics in the fundamentals of super Yang--Mills theory. We present one-loop applications where known scalar cohomology objects are systematically recomputed and a novel vector cohomology particularly relevant to the closed string is constructed for arbitrary multiplicity.

arXiv comment44 pp, 10 figures, harvmac, v2: published version

References in corpus (29)

• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• Super-Poincare Covariant Quantization of the Superstring
• New Color Decompositions for Gauge Amplitudes at Tree and Loop Level
• Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
• Minimal Basis for Gauge Theory Amplitudes
• Ambitwistor strings and the scattering equations
• The Momentum Kernel of Gauge and Gravity Theories
• The Kinematic Algebra From the Self-Dual Sector
• The Multithreaded version of FORM
• Explicit BCJ Numerators from Pure Spinors
• Pure Spinor Formalism as an N=2 Topological String
• Polylogarithms, Multiple Zeta Values and Superstring Amplitudes
• Ambitwistor strings and the scattering equations at one loop
• Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
• Infinite Tension Limit of the Pure Spinor Superstring
• The closed-string 3-loop amplitude and S-duality
• New Perspectives on the BRST-algebraic Structure of String Theory
• New Higher-Derivative $R^4$ Theorems
• The Kinematic Algebras from the Scattering Equations
• A Proof of the Explicit Minimal-basis Expansion of Tree Amplitudes in Gauge Field Theory
• Some Superstring Amplitude Computations with the Non-Minimal Pure Spinor Formalism
• Multiparticle one-loop amplitudes and S-duality in closed superstring theory
• N-Point Tree-Level Scattering Amplitude in the New Berkovits' String
• A Color Dual Form for Gauge-Theory Amplitudes
• Simplifying the Tree-level Superstring Massless Five-point Amplitude
• BCJ duality and double copy in the closed string sector
• Six Open String Disk Amplitude in Pure Spinor Superspace
• Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace
• N=2 structures in all string theories

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• Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes
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• The two-loop superstring five-point amplitude and S-duality
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• Manifest colour-kinematics duality and double-copy in the string-based formalism
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• BCJ, worldsheet quantum algebra and KZ equations
• One-loop superstring six-point amplitudes and anomalies in pure spinor superspace
• The Algebraic Structure of the KLT Relations for Gauge and Gravity Tree Amplitudes
• KK-like relations of ${\alpha }^{\prime }$ corrections to disk amplitudes
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