A solution to the non-linear equations of D=10 super Yang-Mills theory

Abstract

In this letter, we present a formal solution to the non-linear field equations of ten-dimensional super Yang--Mills theory. It is assembled from products of linearized superfields which have been introduced as multiparticle superfields in the context of superstring perturbation theory. Their explicit form follows recursively from the conformal field theory description of the gluon multiplet in the pure spinor superstring. Furthermore, superfields of higher mass dimensions are defined and their equations of motion spelled out.

6 pages, v2: published version

References in corpus (6)

• New Relations for Gauge-Theory Amplitudes
• The Momentum Kernel of Gauge and Gravity Theories
• All tree-level amplitudes in N=4 SYM
• R^4, purified
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Cited by in corpus (27)

• Berends-Giele recursion for double-color-ordered amplitudes
• Tree-level amplitudes from the pure spinor superstring
• Berends-Giele currents in Bern-Carrasco-Johansson gauge for $F^3$- and $F^4$-deformed Yang-Mills amplitudes
• The Off-Shell Recursion for Gravity and the Classical Double Copy for currents
• 10D Super-Yang-Mills Scattering Amplitudes From Its Pure Spinor Action
• $L_{\infty }$-algebras and the perturbiner expansion
• New recursions for tree-level correlators in (Anti) de Sitter space
• The two-loop superstring five-point amplitude and S-duality
• Two-loop five-point amplitudes of super Yang-Mills and supergravity in pure spinor superspace
• One-loop off-shell amplitudes from classical equations of motion
• The $L_{\infty }$ structure of gauge theories with matter
• Multiparticle solutions to Einstein's equations
• Color-kinematics duality from the Bern-Kosower formalism
• Off-shell extended graphic rule and the expansion of Berends-Giele currents in Yang-Mills theory
• A Type of Unifying Relation in (A)dS Spacetime
• Renormalisation in $\text{T}\bar{\text{T}}$-Deformed (Non-)Integrable Theories
• Celestial Berends-Giele current
• Spontaneously Broken Yang-Mills-Einstein Supergravities as Double Copies
• Scattering equations, supergravity integrands, and pure spinors
• Pure spinor formulation of the superstring and its applications
• Note on graph-based BCJ relation for Berends-Giele currents
• One-loop $N$-point correlators in pure gravity
• Two-loop superstring five-point amplitudes I: Construction via chiral splitting and pure spinors
• Massive strings from a haunted field theory
• Perturbative Unitarity Calls for An Action
• Computations of superstring amplitudes in pure spinor formalism via Cadabra
• Quantum Off-Shell Recursion Relation