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20122026
most citedDouble Copy from Homotopy Algebras

76 citations · 300 across the 27 of their papers we have counts for

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24 papers · 1 filter

hep-th2026

Higher-order analogues of colour-kinematics duality in first-order Yang-Mills Feynman diagrams

Leron Borsten, Dimitri Kanakaris, Hyungrok Kim

Colour-kinematics duality is, even at tree level, not manifest from the standard Lagrangian of Yang-Mills theory in that the usual Feynman-diagram expansion does not follow the kin…

hep-th2026

Ersatz gravity and black-hole thermodynamics from Manin gauge theory with noncompact gauge group

Leron Borsten, Dimitri Kanakaris, Hyungrok Kim

We show that a three-dimensional Manin gauge theory with gauge group (i.e. Yang-Mills theory, the third-way theory, or the imaginary third-way theo…

hep-th2025

Discrete Approximations to Principal Bundles in Abelian Gauge Theory

Leron Borsten, Hyungrok Kim

A -dimensional field theory with a periodic spatial dimension may be approximated by a -dimensional theory with a truncated Kaluza-Klein tower of fields; as ${k\to\in…

hep-th2025

Brane Symmetries Revisited: Symmetries of Tensile and Tensionless Branes in Possibly Degenerate Metrics and their Manifestations

Leron Borsten, Mateo Galdeano, Hyungrok Kim

We analyse the symmetries of tensionless and tensile branes moving in a target space with a possibly degenerate metric, with the worldvolume metric remaining nondegenerate. We reco…

hep-th2025

Localisation with on-shell supersymmetry algebras via the Batalin-Vilkovisky formalism: Localisation as gauge fixing

Leron Borsten, Dimitri Kanakaris, Hyungrok Kim

The Batalin-Vilkovisky formalism provides a powerful technique to deal with gauge and global (super)symmetries that may only hold on shell. We argue that, since global (super)symme…

hep-th2025

Symmetries Beget Symmetries: Ghostly Higher-Form Symmetries and the Descent Equation

Leron Borsten, Dimitri Kanakaris, Hyungrok Kim

Viewed through the lens of the Batalin-Vilkovisky formalism, we demonstrate that higher-form currents with nonzero ghost number also define higher-form symmetries, directly analogo…

hep-th2025★ 1 cited

Sandwich Construction of Symmetry TFTs for the Centre Symmetries of Chern-Simons, Yang-Mills, and Einstein Gravity

Leron Borsten, Dimitri Kanakaris, Hyungrok Kim

We construct symmetry topological field theories (SymTFTs) using the sandwich construction of Pulmann-Ševera-Valach that manifest the centre symmetries of Chern-Simons theory and Y…

hep-th2025★ 1 cited

Twisted Homotopy Algebras: Supersymmetric Twists, Spontaneous Symmetry Breaking, Anomalies and Localisation

Leron Borsten, Simon Jonsson, Dimitri Kanakaris +1

Twisting and classical background fields are two foundational techniques in supersymmetric quantum field theory, central to developments ranging from the Higgs mechanism to topolog…

hep-th2025

Discrete -Form Symmetry and Higher Coulomb Phases

Leron Borsten, Hyungrok Kim

We argue that a field theory with a -form symmetry generically admits, in addition to a Higgs phase and a 'confining' phase, a Coulomb phase in which the infrared…

hep-th2025★ 2 cited

Duality Anomalies in Linearized Gravity

Leron Borsten, Michael J. Duff, Dimitri Kanakaris +1

Classical linearized gravity admits a dual formulation in terms of a higher-rank tensor field. Proposing a prescription for the instanton sectors of linearized gravity and its dual…

hep-th2025★ 1 cited

Homotopy Manin Theories: Generalising Third-Way, Yang-Mills and Integrable Sigma Models

Alex S. Arvanitakis, Leron Borsten, Dimitri Kanakaris +1

Manin theories are a class of non-topological deformations of Chern-Simons theories that naturally realise the third-way mechanism and furthermore admit localisation despite not be…

hep-th2024★ 1 cited

Full S-matrices and Witten diagrams with (relative) L-infinity algebras

Luigi Alfonsi, Leron Borsten, Hyungrok Kim +2

The -algebra approach to scattering amplitudes elegantly describes the nontrivial part of the -matrix but fails to take into account the trivial part. We argue that th…

hep-th2024★ 1 cited

Gravity from AKSZ-Manin theories in two, three, and four dimensions

Leron Borsten, Dimitri Kanakaris, Hyungrok Kim

We show that various dynamical gauge theories in two, three and four dimensions, obtained as Manin deformations of topological Alexandrov-Kontsevich-Schwarz-Zaboronsky (AKSZ) theor…

hep-th2024

Ambitwistor Yang-Mills Theory Revisited

Leron Borsten, Branislav Jurco, Hyungrok Kim +2

Inspired by the Movshev-Mason-Skinner Cauchy-Riemann (CR) ambitwistor approach, we provide a rigorous yet elementary construction of a twisted CR holomorphic Chern-Simons action on…

hep-th2024★ 3 cited

Three-dimensional Yang-Mills theory is three-dimensional gravity with background sources

Leron Borsten, Dimitri Kanakaris, Hyungrok Kim

Chern-Simons theory with certain gauge groups is known to be equivalent to a first-order formulation of three-dimensional Einstein gravity with a cosmological constant, where both…

hep-th2024★ 1 cited

Out-of-time-order asymptotic observables are quasi-isomorphic to time-ordered amplitudes

Leron Borsten, Simon Jonsson, Hyungrok Kim

Asymptotic observables in quantum field theory beyond the familiar -matrix have recently attracted much interest, for instance in the context of gravity waveforms. Such observab…

hep-th2023★ 26 cited

Double-Copying Self-Dual Yang-Mills Theory to Self-Dual Gravity on Twistor Space

Leron Borsten, Branislav Jurco, Hyungrok Kim +3

We construct a simple Lorentz-invariant action for maximally supersymmetric self-dual Yang-Mills theory that manifests colour-kinematics duality. We also show that this action doub…

hep-th2023★ 17 cited

Double Copy from Tensor Products of Metric BV-algebras

Leron Borsten, Branislav Jurco, Hyungrok Kim +3

Field theories with kinematic Lie algebras, such as field theories featuring colour-kinematics duality, possess an underlying algebraic structure known as BV${}^{\color{gray} \blac…

hep-th2023★ 15 cited

Tree-Level Color-Kinematics Duality from Pure Spinor Actions

Leron Borsten, Branislav Jurco, Hyungrok Kim +3

We prove that the tree-level scattering amplitudes for (super) Yang-Mills theory in arbitrary dimensions and for M2-brane models exhibit color-kinematics (CK) duality. Our proof fo…

hep-th2022★ 12 cited

Colour-kinematics duality, double copy, and homotopy algebras

Leron Borsten, Hyungrok Kim, Branislav Jurčo +3

Colour-kinematics duality is a remarkable property of Yang-Mills theory. Its validity implies a relation between gauge theory and gravity scattering amplitudes, known as double cop…

hep-th2022★ 46 cited

Kinematic Lie Algebras From Twistor Spaces

Leron Borsten, Branislav Jurco, Hyungrok Kim +3

We analyze theories with color-kinematics duality from an algebraic perspective and find that any such theory has an underlying BV-algebra structure…

hep-th2021★ 19 cited

Tree-Level Color-Kinematics Duality Implies Loop-Level Color-Kinematics Duality up to Counterterms

Leron Borsten, Branislav Jurco, Hyungrok Kim +3

Color-kinematics (CK) duality is a remarkable symmetry of gluon amplitudes that is the key to the double copy which links gauge theory and gravity amplitudes. Here we show that the…

hep-th2021

-algebras, Generalized Geometry, and Tensor Hierarchies

Leron Borsten, Hyungrok Kim, Christian Saemann

We define a generalized form of -algebras called -algebras. As we show, these provide the natural algebraic framework for generalized geometry and the symmet…

hep-th2021★ 76 cited

Double Copy from Homotopy Algebras

Leron Borsten, Branislav Jurco, Hyungrok Kim +3

We show that the BRST Lagrangian double copy construction of supergravity as the `square' of Yang-Mills theory finds a natural interpretation in terms of homotopy a…