76 citations · 300 across the 27 of their papers we have counts for
27 papers
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
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…
Introduction to the special issue dedicated to Michael J. Duff FRS on the occasion of his 70th birthday
L. Borsten, A. Marrani, C. N. Pope +1
This special feature, dedicated to Michael J. Duff FRS on the occasion of his 70th birthday, concerns topics in 'Quantum gravity, branes and M-theory'. These three intertwining sub…
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…
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…
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…
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…
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…
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…
-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…