scholarly journals Seiberg-Witten maps and noncommutative Yang-Mills theories for arbitrary gauge groups

2002 ◽  
Vol 2002 (08) ◽  
pp. 023-023 ◽  
Author(s):  
Glenn Barnich ◽  
Friedemann Brandt ◽  
Maxim Grigoriev
Keyword(s):  
Gauge Groups ◽  
Yang Mills ◽  
Arbitrary Gauge

scholarly journals Instability of Einstein-Yang-Mills solitons for arbitrary gauge groups

1994 ◽  
Vol 324 (3-4) ◽  
pp. 309-314 ◽  
Author(s):  
Othmar Brodbeck ◽  
Norbert Straumann
Keyword(s):  
Gauge Groups ◽  
Yang Mills ◽  
Arbitrary Gauge

Wormhole solutions in the Einstein‒Yang‒Mills‒Higgs system - I. General theory of the zero-order structure

1983 ◽  
Vol 386 (1790) ◽  
pp. 223-240 ◽  
Keyword(s):  
Differential Operators ◽  
Broad Class ◽  
Order Structure ◽  
Nonlinear Elliptic System ◽  
Field Equations ◽  
Gauge Groups ◽  
Yang Mills ◽  
Nonlinear Elliptic ◽  
Static Solutions ◽  
Arbitrary Gauge

We show that the field equations for static solutions containing an extreme type of black hole imply severe conditions on the boundary values of all fields at the internal infinity of the holes. These conditions have the form of an overdetermined, nonlinear elliptic system of differential equations on a two-dimensional compact manifold. We simplify the system using positivity of some of its differential operators and prove that for a broad class of Higgs potential functions and for arbitrary gauge groups the only solution is the abelian embedded Reissner‒Nordström one.

DYNAMICS OF EUCLIDEANIZED EINSTEIN-YANG-MILLS SYSTEMS WITH ARBITRARY GAUGE GROUPS

1991 ◽  
Vol 06 (23) ◽  
pp. 4149-4180 ◽  
Author(s):  
O. BERTOLAMI ◽  
J.M. MOURÃO ◽  
R.F. PICKEN ◽  
I.P. VOLOBUJEV
Keyword(s):  
Dynamical System ◽  
Differential Equations ◽  
Broad Class ◽  
Friedmann Equation ◽  
Second Order ◽  
Isotropy Group ◽  
Gauge Groups ◽  
Yang Mills ◽  
Second Order Differential Equations ◽  
Arbitrary Gauge

We describe the dynamics of euclideanized SO(4)-symmetric Einstein-Yang-Mills (EYM) systems with arbitrary compact gauge groups [Formula: see text]. For the case of SO(n) and SU(n) gauge groups and simple embeddings of the isotropy group in [Formula: see text], we show that in the resulting dynamical system, the Friedmann equation decouples from the Yang-Mills equations. Furthermore, the latter can be reduced to a system of two second-order differential equations. This allows us to find a broad class of instanton (wormhole) solutions of the EYM equations. These solutions are not afflicted by the giant-wormhole catastrophe.

scholarly journals EXACT SOLUTIONS OF THE REISSNER–NORDSTRÖM TYPE IN EINSTEIN–YANG–MILLS SYSTEMS WITH ARBITRARY GAUGE GROUPS AND SPACE–TIME DIMENSIONS

1996 ◽  
Vol 11 (28) ◽  
pp. 4999-5014 ◽  
Author(s):  
GERD RUDOLPH ◽  
TORSTEN TOK ◽  
IGOR P. VOLOBUEV
Keyword(s):  
Dimensional Space ◽  
Space Time ◽  
Abelian Gauge ◽  
Gauge Groups ◽  
Yang Mills ◽  
Gravitational Fields ◽  
Dimensional Reduction Method ◽  
Dimensional Space Time ◽  
Spatial Rotations ◽  
Arbitrary Gauge

We present a class of solutions in Einstein–Yang–Mills systems with arbitrary gauge groups and space–time dimensions, which are symmetric under the action of the group of spatial rotations. Our approach is based on the dimensional reduction method for gauge and gravitational fields and relates symmetric Einstein–Yang–Mills solutions to certain solutions of two-dimensional Einstein–Yang–Mills–Higgs-dilaton theory. Application of this method to four-dimensional spherically symmetric (pseudo-)Riemannian space–time yields, in particular, new solutions describing both a magnetic and an electric charge at the center of a black hole. Moreover, we give an example of a solution with non-Abelian gauge group in six-dimensional space–time. We also comment on the stability of the obtained solutions.

Singular G-Monopoles on S1 × Σ

2016 ◽  
Vol 68 (5) ◽  
pp. 1096-1119 ◽  
Author(s):  
Benjamin H. Smith
Keyword(s):  
Spectral Decomposition ◽  
Gauge Groups ◽  
Correspondence Theorem ◽  
Arbitrary Gauge

AbstractThis article provides an account of the functorial correspondence between irreducible singular G-monopoles on S1×Σ and stable meromorphic pairs on Σ. A theorem of B.Charbonneau and J. Hurtubise is thus generalized here from unitary to arbitrary compact, connected gauge groups. The required distinctions and similarities for unitary versus arbitrary gauge are clearly outlined, and many parallels are drawn for easy transition. Once the correspondence theorem is complete, the spectral decomposition is addressed.

scholarly journals Constructing Non-Abelian Vortices with Arbitrary Gauge Groups

2008 ◽  
Author(s):  
Minoru Eto ◽  
Toshiaki Fujimori ◽  
Sven Bjarke Gudnason ◽  
Kenichi Konishi ◽  
Muneto Nitta ◽  
...  
Keyword(s):  
Gauge Groups ◽  
Arbitrary Gauge

scholarly journals WHITHAM DEFORMATIONS OF SEIBERG–WITTEN CURVES FOR CLASSICAL GAUGE GROUPS

2000 ◽  
Vol 15 (23) ◽  
pp. 3635-3666 ◽  
Author(s):  
KANEHISA TAKASAKI
Keyword(s):  
Spectral Curve ◽  
Explicit Construction ◽  
Integrable Hierarchy ◽  
Fractional Powers ◽  
Toda System ◽  
Gauge Groups ◽  
Yang Mills

Gorsky et al. presented an explicit construction of Whitham deformations of the Seiberg–Witten curve for the [Formula: see text] SUSY Yang–Mills theory. We extend their result to all classical gauge groups and some other cases such as the spectral curve of the [Formula: see text] affine Toda system. Our construction, too, uses fractional powers of the superpotential W(x) that characterizes the curve. We also consider the u-plane integral of topologically twisted theories on four-dimensional manifolds X with [Formula: see text] in the language of these explicitly constructed Whitham deformations and an integrable hierarchy of the KdV type hidden behind.

Pseudoparticle parameters for arbitrary gauge groups

1994 ◽  
pp. 153-163
Author(s):  
Claude W. Bernard ◽  
Norman H. Christ ◽  
Alan H. Guth ◽  
Erick J. Weinberg
Keyword(s):  
Gauge Groups ◽  
Arbitrary Gauge
Sign in / Sign up

Export Citation Format

Share Document