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Related papers: Double Copy from Homotopy Algebras

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A superspace formulation is proposed for the osp(1,2)-covariant Lagrangian quantization of general massive gauge theories. Thereby, osp(1,2) is considered as subalgebra of the superalgebra sl(1,2) which is interpreted as conformal algebra…

High Energy Physics - Theory · Physics 2007-05-23 Bodo Geyer , Dietmar Muelsch

The gravity dual of $\beta$-deformed ABJM theory can be obtained by a TsT transformation of $AdS_4\times\mathbb{CP}^3$. We present a supercoset construction of $\mathbb{CP}^3$ to obtain this gravity dual theory as a Yang-Baxter deformation.…

High Energy Physics - Theory · Physics 2018-11-12 René Negrón , Victor O. Rivelles

In a superspace formulation of Yang-Mills theory previously proposed, we show how gauge-invariant operators and scalars can be incorporated keeping intact the (broken) $Osp(3,1|2)$ symmetry of the superspace action. We show in both cases,…

High Energy Physics - Theory · Physics 2014-11-18 Satish D. Joglekar , Bhabani Prasad Mandal

The double-copy construction for form factors was reported in our previous work, in which a novel mechanism of turning spurious poles in Yang-Mills theory into physical poles in gravity is observed. This paper is the first of a series of…

High Energy Physics - Theory · Physics 2024-02-16 Guanda Lin , Gang Yang

N=2* gauge theory in four space-time dimensions arises as a deformation of the parent N=4 supersymmetric Yang-Mill theory under which its hypermultiplet acquires a mass. This theory, on the one hand, has a known supergravity dual and on the…

High Energy Physics - Theory · Physics 2015-06-12 Alex Buchel , Jorge G. Russo , Konstantin Zarembo

Some generalized BRS transformations are developed for the pure Yang-Mills theory, and a form of quantum gravity. Unlike the usual BRS transformations: these are nonlocal; may be infinite formal power series in the gauge fields; and do not…

High Energy Physics - Theory · Physics 2007-05-23 Paul Federbush

Whenever the integrand of a gauge-theory loop amplitude can be arranged into a form where the BCJ duality between color and kinematics is manifest, a corresponding gravity integrand can be obtained simply via the double-copy procedure.…

High Energy Physics - Theory · Physics 2017-05-10 Zvi Bern , John Joseph Carrasco , Wei-Ming Chen , Henrik Johansson , Radu Roiban

A quadratic Leibniz algebra $(\mathbb{V},[ \cdot, \cdot ],\kappa)$ gives rise to a canonical Yang-Mills type functional $S$ over every space-time manifold. The gauge fields consist of 1-forms $A$ taking values in $\mathbb{V}$ and 2-forms…

High Energy Physics - Theory · Physics 2019-06-26 Thomas Strobl

The duality between color and kinematics was originally observed for purely adjoint massless gauge theories, and later found to hold even after introducing massive fermionic and scalar matter in arbitrary gauge-group representations. Such a…

High Energy Physics - Theory · Physics 2019-09-11 Henrik Johansson , Alexander Ochirov

Continuous dual symmetry in electrodynamics, Yang-Mills theory and gravitation is investigated. Dual invariant which leads to badly nonlinear motion equations is chosen as a Lagrangian of the pure classical dual nonlinear electrodynamics.…

High Energy Physics - Theory · Physics 2007-05-23 A. L. Koshkarov

We study theories of the "General Relativity + Yang-Mills" type in 4d spacetime with cosmological constant, focusing on formulations where the basic variables are connections and curvatures (but no metric). We present a new Lagrangian for…

General Relativity and Quantum Cosmology · Physics 2025-11-17 Julian Lang , Yasha Neiman

The Kerr-Schild double copy (KSDC) is well-known for relating exact classical solutions between Yang-Mills theory and theories of gravity. However, whether this correspondence provides a more fundamental mapping between the underlying…

High Energy Physics - Theory · Physics 2026-05-18 B. P. Holton

The Kerr-Schild (KS) double copy is celebrated for producing exact gravitational spacetimes from gauge fields, yet the preservation of symmetry content remains largely unexplored. We investigate the fate of residual symmetries in the KS…

High Energy Physics - Theory · Physics 2025-10-28 Brandon Holton

We find an exact, N=1 supersymmetric kink solution of 5d gauged supergravity. We associate this solution with the RG flow from N=4 super Yang-Mills theory, deformed by a relevant operator, to pure N=1 super Yang-Mills in the IR. We test…

High Energy Physics - Theory · Physics 2009-10-31 L. Girardello , M. Petrini , M. Porrati , A. Zaffaroni

We show that there exists a representation of a matrix valued gauge field via intrinsic "BRST" operator assigned to matrix valued generators of a gauge algebra. In this way, we reproduce the standard formulation of the ordinary Yang - Mills…

High Energy Physics - Theory · Physics 2016-08-16 Igor A. Batalin , Peter M. Lavrov

Using superspace unitary operator formalism, we derive various (anti-)BRST symmetry transformations explicitly for the non-Abelian 2-form gauge theories. We introduce a new Lagrangian with a coupling of matter fields not only with 1-from…

High Energy Physics - Theory · Physics 2018-03-14 Dheeraj Shukla , Kuldeep Kumar

We construct the five-dimensional supergravity dual of the $\mathcal{N}=1^*$ mass deformation of the $\mathcal{N} =4$ supersymmetric Yang-Mills theory on $S^4$ and use it to calculate the universal contribution to the corresponding $S^4$…

High Energy Physics - Theory · Physics 2016-11-07 Nikolay Bobev , Henriette Elvang , Uri Kol , Timothy Olson , Silviu S. Pufu

The cosmological compactification of D=10, N=1 supergravity-super-Yang-Mills theory obtained from superstring theory is studied. The constraint of unbroken N=1 supersymmetry is imposed. A duality transformation is performed on the resulting…

High Energy Physics - Theory · Physics 2009-10-30 H. K. Jassal , A. Mukherjee , R. P. Saxena

We consider the superspace BRST and BV description of $4D,~\mathcal{N}=1$ Super Maxwell theory and its non-abelian generalization Super Yang-Mills. By fermionizing the superspace gauge transformation of the gauge superfields we define the…

High Energy Physics - Theory · Physics 2022-01-19 I. L. Buchbinder , S. James Gates , K. Koutrolikos

Studying the gauge-invariant renormalizability of four-dimensional Yang-Mills theory using the background field method and the BV-formalism, we derive a classical master-equation homogeneous with respect to the antibracket by introducing…

High Energy Physics - Theory · Physics 2020-01-16 Igor A. Batalin , Klaus Bering , Peter M. Lavrov , Igor V. Tyutin