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In this paper we show how hypercomplex function theoretical objects can be used to construct explicitly self-dual SU(2)-Yang-Mills instanton solutions on certain classes of conformally flat 4-manifolds. We use a hypercomplex argument…

Complex Variables · Mathematics 2013-10-02 Rolf Soeren Krausshar , Jürgen Tolksdorf

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

We formulate and explore the physical implications of a new translation gauge theory of gravity in flat space-time with a new Yang-Mills action, which involves quadratic gauge curvature and fermions. The theory shows that the presence of an…

General Relativity and Quantum Cosmology · Physics 2018-03-09 Jong-Ping Hsu

We make a change of field variables in the J formulation of self-dual Yang--Mills theory. The field equations for the resulting algebra valued field are derivable from a simple cubic action. The cubic interaction vertex is different from…

High Energy Physics - Theory · Physics 2009-10-22 Andrew Parkes

Yang-Mills gravity with translational gauge group T(4) in flat space-time implies a simple self-coupling of gravitons and a truly conserved energy-momentum tensor. Its consistency with experiments crucially depends on an interesting…

General Relativity and Quantum Cosmology · Physics 2011-04-20 Jong-Ping Hsu

Twistor space constructions and actions are given for full Yang-Mills and conformal gravity using almost complex structures that are not, in general, integrable. These are used as the basis of a derivation of the twistor-string generating…

High Energy Physics - Theory · Physics 2009-11-11 L. J. Mason

In this letter, we present a formal solution to the non-linear field equations of ten-dimensional super Yang--Mills theory. It is assembled from products of linearized superfields which have been introduced as multiparticle superfields in…

High Energy Physics - Theory · Physics 2015-09-22 Carlos R. Mafra , Oliver Schlotterer

A Yang-Mills type gauge theory of gravity is shown to have a structure richer than that of Einstein's General Theory of Relativity. By elevating the full connections to independent dynamical gauge fields, the theory admits non-trivial…

General Physics · Physics 2026-04-01 Yi Yang , Wai Bong Yeung

We present new relations for scattering amplitudes of color ordered gluons and gravitons in Einstein-Yang-Mills theory. Tree-level amplitudes of arbitrary multiplicities and polarizations involving up to three gravitons and up to two color…

High Energy Physics - Theory · Physics 2017-01-24 Dhritiman Nandan , Jan Plefka , Oliver Schlotterer , Congkao Wen

Conformal supergravity arises in presently known formulations of twistor-string theory either via closed strings or via gauge-singlet open strings. We explore this sector of twistor-string theory, relating the relevant string modes to the…

High Energy Physics - Theory · Physics 2010-04-07 Nathan Berkovits , Edward Witten

Within the Hamiltonian approach to Yang-Mills theory in Coulomb gauge the ghost and gluon propagators are determined from a variational solution of the Yang-Mills Schroedinger equation showing both gluon and heavy quark confinement. The…

High Energy Physics - Theory · Physics 2009-06-25 H. Reinhardt , G . Burgio , D. Campagnari , D. Epple , M. Leder , M. Pak , M. Quandt , W. Schleifenbaum

Self-dual spacetimes can be thought of as spacetimes containing only positive helicity gravitons. In this work we give a perturbiner expansion for self-dual spacetimes based on Pleba\'nski's second heavenly equation. The expansion is…

High Energy Physics - Theory · Physics 2025-12-16 Noah Miller

In these lectures we review how the symmetries of gravitational theories may be regarded as originating from those of "Yang-Mills squared". We begin by motivating the idea that certain aspects of gravitational theories can be captured by…

High Energy Physics - Theory · Physics 2016-10-25 L. Borsten , M. J. Duff

Both 3- and 4-point scattering amplitudes for spin-1 massless particles (gluons) and spin-2 massless particles (gravitons) are reviewed through self-contained step-by-step derivation. Gluon and graviton interactions are computed from…

High Energy Physics - Phenomenology · Physics 2019-12-12 Abhilash Mathews

A gauge model with SU(2) symmetry is proposed to describe the gravitational interaction of fundamental fermions (leptons and quarks) on a Lorentzian manifold with a tetrad. From the system of Dirac-Yang-Mills equations underlying the…

General Physics · Physics 2025-01-24 Nikolay Marchuk

The Becchi-Rouet-Stora-Tyutin (BRST) transformations and equations of motion of a gravity-two-form-dilaton system are derived from the product of two Yang-Mills theories in a BRST covariant form, to linear approximation. The inclusion of…

High Energy Physics - Theory · Physics 2020-06-04 A. Anastasiou , L. Borsten , M. J. Duff , S. Nagy , M. Zoccali

We study a deSitter/Anti-deSitter/Poincare Yang-Mills theory of gravity in d-space-time dimensions in an attempt to retain the best features of both general relativity and Yang-Mills theory: quadratic curvature, dimensionless coupling and…

General Relativity and Quantum Cosmology · Physics 2015-05-01 Jack Gegenberg , Gabor Kunstatter

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

We consider the ``metric-affine-like'' generalization of the Yang-Mills theory (mal-YM) which we first proposed earlier. In this model, the connection is no longer assumed to be compatible with the Hermitian form in the fibers. As a…

High Energy Physics - Theory · Physics 2026-05-14 Władysław Wachowski

We revisit an old idea that gravity can be unified with Yang-Mills theory by enlarging the gauge group of gravity formulated as gauge theory. Our starting point is an action that describes a generally covariant gauge theory for a group G.…

High Energy Physics - Theory · Physics 2010-04-14 Alexander Torres-Gomez , Kirill Krasnov