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.

44 pp, 10 figures, harvmac, v2: published version

References in corpus (7)

• Minimal Basis for Gauge Theory Amplitudes
• The Momentum Kernel of Gauge and Gravity Theories
• The Kinematic Algebra From the Self-Dual Sector
• New Higher-Derivative $R^4$ Theorems
• 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
• Towards Field Theory Amplitudes From the Cohomology of Pure Spinor Superspace

Cited by in corpus (9)

• Black holes and the double copy
• Einstein-Yang-Mills Scattering Amplitudes From Scattering Equations
• Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• Einstein-Yang-Mills from pure Yang-Mills amplitudes
• Amplitude relations in heterotic string theory and Einstein-Yang-Mills
• New Formulas for Amplitudes from Higher-Dimensional Operators
• All-order differential equations for one-loop closed-string integrals and modular graph forms
• One-loop Correlators and BCJ Numerators from Forward Limits