Exact solutions for the biadjoint scalar field

Abstract

Biadjoint scalar theories are novel field theories that arise in the study of non-abelian gauge and gravity amplitudes. In this short paper, we present exact nonperturbative solutions of the field equations, and compare their properties with monopole-like solutions in non-abelian gauge theory. Our results may pave the way for nonperturbative studies of the double copy.

11 pages. Minor corrections to formulae and text, to match journal version

References in corpus (6)

• New Relations for Gauge-Theory Amplitudes
• Black holes and the double copy
• The double copy: Bremsstrahlung and accelerating black holes
• Ambitwistor strings in 4-dimensions
• Enhanced Ultraviolet Cancellations in N = 5 Supergravity at Four Loop
• Color-Kinematics Duality and the Regge Limit of Inelastic Amplitudes

Cited by in corpus (68)

• Perturbative spacetimes from Yang-Mills theory
• Abelian Z-theory: NLSM amplitudes and alpha'-corrections from the open string
• The Kerr-Schild double copy in curved spacetime
• Classical gluon and graviton radiation from the bi-adjoint scalar double copy
• Type D Spacetimes and the Weyl Double Copy
• Spinning particles, axion radiation, and the classical double copy
• The self-dual classical double copy, and the Eguchi-Hanson instanton
• Non-abelian $Z$-theory: Berends-Giele recursion for the ${\alpha }^{\prime }$-expansion of disk integrals
• Gravity as Gauge Theory Squared: A Ghost Story
• A Twistorial Foundation for the Classical Double Copy
• On duality of color and kinematics in (A)dS momentum space
• A double copy for $\mathcal{N}=2$ supergravity: a linearised tale told on-shell
• Double Copy from Homotopy Algebras
• Topology and Wilson lines: global aspects of the double copy
• The Classical Double Copy of a Point Charge
• The convolutional double copy: a case study with a point
• Extended solutions for the biadjoint scalar field
• Are all supergravity theories Yang-Mills squared?
• A double copy for asymptotic symmetries in the self-dual sector
• Twin Supergravities from Yang-Mills Squared
• Gravitational radiation from the classical spinning double copy
• Ehlers as EM duality in the double copy
• The pure BRST Einstein-Hilbert Lagrangian from the double-copy to cubic order
• The Newman-Penrose Map and the Classical Double Copy
• Monopoles, shockwaves and the classical double copy
• Biadjoint wires
• Unraveling conformal gravity amplitudes
• Strings, extended objects, and the classical double copy
• Inverse of the String Theory KLT Kernel
• New heavenly double copies
• Massive Gravity from Double Copy
• $D=6$, $\mathcal{N}=(2,0)$ and $\mathcal{N}=(4,0)$ theories
• The Radiative Double Copy for Einstein-Yang-Mills Theory
• UV considerations on scattering amplitudes in a web of theories
• Asymptotic Weyl Double Copy
• Loop-Level Double-Copy for Massive Quantum Particles
• Relations for Einstein-Yang-Mills amplitudes from the CHY representation
• $L_{\infty }$-algebras and the perturbiner expansion
• On the Lagrangian formulation of the double copy to cubic order
• The double copy of the multipole expansion
• Gauge $\times$ Gauge on Spheres
• Isometries and the double copy
• Geodesics From Classical Double Copy
• Non-perturbative aspects of the self-dual double copy
• The Weyl double copy in vacuum spacetimes with a cosmological constant
• More on the Classical Double Copy in Three Spacetime Dimensions
• The single copy of the gravitational holonomy
• Kaluza-Klein from Colour-Kinematics Duality for Massive Fields
• Weyl double copy and massless free fields in curved spacetimes
• Classical off-shell currents
• Extracting Einstein from the Loop-Level Double-Copy
• The double copy: gravity from gluons
• The classical double copy in curved spacetimes: Perturbative Yang-Mills from the bi-adjoint scalar
• Tree-Level Color-Kinematics Duality Implies Loop-Level Color-Kinematics Duality up to Counterterms
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• Double Copy from Tensor Products of Metric BV${}^{■}$-algebras
• Worldline description of a bi-adjoint scalar and the zeroth copy
• A spinorial double copy for $\mathcal{N}=0$ supergravity
• Note on the asymptotic structure of Kerr-Schild form
• Symmetrization of Jordan dialgebras
• The Magic Star of Exceptional Periodicity
• The Mile High Magic Pyramid
• Aspects of High Energy Scattering
• The double copy: from optics to quantum gravity
• The Weyl double copy from twistor space
• On kinetic theories with color and spin from amplitudes
• The Kerr-Schild Double Copy in Lifshitz Spacetime
• NS-NS Spacetimes from Amplitudes