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There is remarkable relation between self-dual Yang-Mills and self-dual Einstein gravity in four Euclidean dimensions. Motivated by this we investigate the Spin(7) and G_2 invariant self-dual Yang-Mills equations in eight and seven…

High Energy Physics - Theory · Physics 2009-11-07 Konstadinos Sfetsos

The gauge connections corresponding to electromagnetism, Yang-Mills theory and Einstein gravity can be derived by assuming specific commutation relations between the phase-space variables of a first quantized theory. Extending the procedure…

High Energy Physics - Theory · Physics 2007-05-23 Ciprian S. Acatrinei

We propose a Lorentz-covariant Yang-Mills spin-gauge theory, where the function valued Dirac matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$. After symmetry breaking a non-scalar…

General Relativity and Quantum Cosmology · Physics 2013-06-11 H. Dehnen , E. Hitzer

We show that scattering amplitudes in magical, symmetric or homogeneous N=2 Maxwell-Einstein supergravities can be obtained as double copies of two gauge theories, using the framework of color/kinematics duality. The left-hand-copy is N=2…

High Energy Physics - Theory · Physics 2017-08-28 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

The Weyl double copy relates vacuum solutions in general relativity to Abelian gauge fields in Minkowski spacetime. In a previous work, we showed how the Weyl double copy can be extended to provide a treatment of external gravitational…

General Relativity and Quantum Cosmology · Physics 2023-03-08 Damien A. Easson , Tucker Manton , Andrew Svesko

We argue that the complex transformation relating the Schwarzschild to the Taub-NUT metric, introduced by Talbot, is in fact an electric-magnetic duality transformation. We show that at null infinity, the complex transformation is…

High Energy Physics - Theory · Physics 2020-08-19 Yu-tin Huang , Uri Kol , Donal O'Connell

We discuss the algebraic renormalization of the Yang--Mills gauge field theory in the presence of translations. Due to the translations the algebra between Sorella's $\d$--operator, the exterior derivative and the BRST--operator closes.…

High Energy Physics - Theory · Physics 2007-05-23 O. Moritsch , M. Schweda , T. Sommer

From a gauge $SU(2,2|2)$ model with broken supersymmetry, we construct an action for $SU(2)\times U(1)$ Yang-Mills theory coupled to gravity and matter. The connection components for AdS boosts and special conformal translations are…

High Energy Physics - Theory · Physics 2020-08-26 Pedro D. Alvarez , Mauricio Valenzuela , Jorge Zanelli

A classification of gravitating Yang--Mills systems in all dimensions is presented. These systems are set up so that they support finite energy solutions. Both regular and black hole solutions are considered, the former being the limit of…

General Relativity and Quantum Cosmology · Physics 2009-07-10 Eugen Radu , D. H. Tchrakian

We propose a Lorentz-covariant Yang-Mills ``spin-gauge'' theory, where the function valued Pauli matrices play the role of a non-scalar Higgs-field. As symmetry group we choose $SU(2) \times U(1)$ of the 2-spinors describing…

General Relativity and Quantum Cosmology · Physics 2008-11-26 H. Dehnen , E. Hitzer

The canonical Bartnik-McKinnon solitons are regular solutions of the coupled Einstein-Yang-Mills system in which gravity may balance the repulsive nature of the Yang-Mills field. We examine the role played by gravity in balancing the system…

High Energy Physics - Theory · Physics 2008-11-26 Shahar Hod

We construct a spinfoam model for Yang-Mills theory coupled to quantum gravity in three dimensional riemannian spacetime. We define the partition function of the coupled system as a power series in g_0^2 G that can be evaluated order by…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Simone Speziale

We use an important decoupling property of gravitational field equations in the general relativity theory and modifications, written with respect to nonholonomic frames with 2+2 spacetime decomposition. This allows us to integrate the…

General Physics · Physics 2013-03-18 Sergiu I. Vacaru

We expose a double-copy structure in the scattering amplitudes of the generic Jordan family of N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity theories in four and five dimensions. The Maxwell-Einstein supergravity amplitudes are…

High Energy Physics - Theory · Physics 2015-06-22 Marco Chiodaroli , Murat Gunaydin , Henrik Johansson , Radu Roiban

Dual form of 3+1 dimensional Yang-Mills theory is obtained as another SO(3) gauge theory. Duality transformation is realized as a canonical transformation. The The non-abelian Gauss law implies the corresponding Gauss law for the dual…

High Energy Physics - Theory · Physics 2009-10-31 Pushan Majumdar , H. S. Sharatchandra

An efficient way of resolving Gauss' law in Yang-Mills theory is presented by starting from the projected gauge invariant partition function and integrating out one spatial field variable. In this way one obtains immediately the description…

High Energy Physics - Theory · Physics 2008-11-26 H. Reinhardt

The classical double copy relations establish correspondence between exact gravity solutions and their counterparts in biadjoint and gauge theories. In this work, we investigate a peculiar case of double copy relations arising in exact…

General Relativity and Quantum Cosmology · Physics 2021-09-07 Emanuelis Lazauskas

A complexification of the twisted $\N=2$ theory allows one to determine the N=4 Yang--Mills theory in its third twist formulation. The imaginary part of the gauge symmetry is used to eliminate two scalars fields and create gauge covariant…

High Energy Physics - Theory · Physics 2009-10-06 Laurent Baulieu

A two dimensional gauge theory is canonically associated to every Drinfeld double. For particular doubles, the theory turns out to be e.g. the ordinary Yang-Mills theory, the G/G gauged WZNW model or the Poisson $\sigma$-model that…

High Energy Physics - Theory · Physics 2014-11-18 C. Klimcik

In this paper, we present a new formulation of topological conformal gravity in four dimensions. Such a theory was first considered by Witten as a possible gravitational counterpart of topological Yang-Mills theory, but several problems…

High Energy Physics - Theory · Physics 2009-10-22 Malcolm J. Perry , Edward Teo
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