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We construct new family of spherically symmetric regular solutions of $SU(2)$ Yang-Mills theory coupled to pure $R^2$ gravity. The particle-like field configurations possess non-integer non-Abelian magnetic charge. A discussion of the main…

High Energy Physics - Theory · Physics 2019-05-03 Ilya Perapechka , Yakov Shnir

Self-duality equations for Yang-Mills fields in d-dimensional Euclidean spaces consist of linear algebraic relations amongst the components of the curvature tensor which imply the Yang-Mills equations. For the extension to superspace gauge…

High Energy Physics - Theory · Physics 2009-11-07 Chandrashekar Devchand , Jean Nuyts

We give a proof by direct computation that at tree level, the twistor-like superstring theory in the pure spinor formalism proposed very recently by Berkovits describes ten-dimensional N=1 super Yang-Mills in its heterotic version, and type…

High Energy Physics - Theory · Physics 2014-07-02 Humberto Gomez , Ellis Ye Yuan

The quasi-classical model in a gauge theory with the Yang-Mills (YM) field is developed. On a basis of the exact solution of the Dirac equation in the SU(N) gauge field, which is in the eikonal approximation, the Yang-Mills (YM) equations…

High Energy Physics - Theory · Physics 2010-12-06 A. V. Koshelkin

Recently, gauge field theory approaches were extensively used in order to discuss the physical consequences of spin-orbit interactions in condensed matter physics. An SU(2)$\times$U(1) gauge theory is very naturally borne out and provides…

Other Condensed Matter · Physics 2014-09-23 Bertrand Berche , Ernesto Medina

Chiral/self-dual restrictions of various super Yang-Mills and supergravity theories in (2,2) dimensions are described. These include the N=1 supergravity with a cosmological term and the N=1 new minimal supergravity theory. In the latter…

High Energy Physics - Theory · Physics 2007-05-23 E. Sezgin

We consider a spherically symmetric, static system of a Dirac particle interacting with classical gravity and an SU(2) Yang-Mills field. The corresponding Einstein-Dirac-Yang/Mills equations are derived. Using numerical methods, we find…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Felix Finster , Joel Smoller , Shing-Tung Yau

We extend the general framework of perturbative quantum field theory developped for the pure Yang-Mills model to gravity. First we present a variant of the elimination procedure of the anomalies in the second order of perturbation theory.…

High Energy Physics - Theory · Physics 2022-09-13 Dan-Radu Grigore

We develop a four-dimensional gauge-gravity unification based on the $% SL(2N,C)$ gauge theory taken in a universal Yang--Mills type setting. The accompanying tetrads are promoted to dynamical fields whose length, when projected onto the…

High Energy Physics - Theory · Physics 2026-03-20 J. L. Chkareuli

By considering N=2 string amplitudes we determine the (2+2)-dimensional target space action for the physical degrees of freedom: self-dual gravity and self-dual Yang-Mills, together with their respective infinite towers of higher-spin…

High Energy Physics - Theory · Physics 2009-10-31 Chandrashekar Devchand , Olaf Lechtenfeld

The 2D $\mathcal{N}=(2,2)^*$ supersymmetric Yang-Mills theory can be obtained from the 2D $\mathcal{N}=(4,4)$ theory with a twisted mass deformation. In this paper we construct the gravity dual theory of the 2D $\mathcal{N}=(2,2)^*$…

High Energy Physics - Theory · Physics 2021-07-02 Jun Nian

The Maldacena-Nunez solution is generalized to include a number of integration constants, one of which controls the resolution of the singularity of the wrapped D5-brane background. Some features of the dual pure N=1 super Yang-Mills (SYM)…

High Energy Physics - Theory · Physics 2016-08-16 Wolfgang Mück

It is shown that the Born-Infeld-type modification of the quadratic Yang-Mills action suggested by the superstring theory gives rise to classical particle-like solutions prohibited in the standard Yang-Mills theory. This becomes possible…

High Energy Physics - Theory · Physics 2009-10-31 Dmitri Gal'tsov , Richard Kerner

The approach of metric-affine gravity initially distinguishes it from Einstein's general relativity. Using an independent affine connection produces a theory with 10+64 unknowns. We write down the Yang-Mills action for the affine connection…

General Relativity and Quantum Cosmology · Physics 2015-09-28 Vedad Pasic , Elvis Barakovic

We investigate the relationship between a one-parameter family of (anti-)de Sitter Yang-Mills models and a model of Einstein-Palatini gravity with matter, realized through In\"o\"nu-Wigner contraction of the (A)dS algebra. By setting the…

General Relativity and Quantum Cosmology · Physics 2025-12-24 Goffredo Chirco , Alfonso Lamberti , Lucio Vacchiano , Patrizia Vitale

We demonstrate the existence of a broad class of non-perturbative fermionic solutions to the Euclidean supergravity equations of motion, which are half-BPS and nonsingular, possess zero action, and obey an (anti)self-duality condition.…

High Energy Physics - Theory · Physics 2016-05-04 N. Houston

We consider duality transformations in N=2, d=4 Yang--Mills theory coupled to N=2 supergravity. A symplectic and coordinate covariant framework is established, which allows one to discuss stringy `classical and quantum duality symmetries'…

High Energy Physics - Theory · Physics 2016-09-06 A. Ceresole , R. D'Auria , S. Ferrara , A. Van Proeyen

It is shown how to obtain the consistent light front form quantization of a non-Abelian pure Yang-Mills theory (gluondynamics) in the framework of the standard perturbative approach. After a short review of the previous attempts in the…

High Energy Physics - Theory · Physics 2010-12-13 M. Morara , R. Soldati , G. McCartor

We show that every gravitational instantons are SU(2) Yang-Mills instantons on a Ricci-flat four manifold although the reverse is not necessarily true. It is shown that gravitational instantons satisfy exactly the same self-duality equation…

High Energy Physics - Theory · Physics 2011-04-28 John J. Oh , Chanyong Park , Hyun Seok Yang

In this paper we show that a particular twist of $\mathcal{N}=4$ super Yang-Mills in three dimensions with gauge group SU(2) possesses a set of classical vacua corresponding to the space of flat connections of the {\it complexified} gauge…

High Energy Physics - Lattice · Physics 2017-09-07 Simon Catterall