Recently a mass deformation of the maximally supersymmetric Yang-Mills quantum mechanics has been constructed from the supermembrane action in eleven dimensional plane-wave backgrounds. However, the origin of this plane-wave matrix theory in terms of a compactification of a higher dimensional Super Yang-Mills model has remained obscure. In this paper we study the Kaluza-Klein reduction of D = 4...

With the help of the Cho–Faddeev–Niemi–Shabanov decomposition of the SU(2) Yang–Mills field, we find an integrable subsystem of SU(2) Yang–Mills theory coupled to the dilaton. Here integrability means the existence of infinitely many symmetries and infinitely many conserved currents. Further, we construct infinitely many static solutions of this integrable subsystem. These solutions can be iden...

A simple ansatz is considered for the scalar field dependence of the part of the fourgraviton scattering amplitude in type IIB superstring theory in AdS5 × S that comes from the (Weyl tensor) term. This incorporates SL(2,ZZ) duality at every order of the α/L expansion (where L is the AdS5 scale). The relative coefficients in this series are determined, via the AdS/CFT correspondence, by the con...

New solutions to the static, spherically symmetric Einstein-Yang-Mills-Higgs equations with the Higgs field in the triplet (doublet) representation are presented. They form continuous families parametrized by alpha = M(W)/M(Pl) [M(W) (M(Pl)) denoting the W boson (the Planck) mass]. The corresponding space-times are regular and have spatially compact sections. A particularly interesting class wi...

Non-commutative differential geometry allows a scalar field to be regarded as a gauge connection, albeit on a discrete space. We explain how the underlying gauge principle corresponds to the independence of physics on the choice of vacuum state, should it be non-unique. A consequence is that Yang–Mills–Higgs theory can be reformulated as a generalised Yang– Mills gauge theory on Euclidean space...

We introduce new variables in four dimensional SU(N) Yang-Mills theory. These variables emerge when we sum the path integral over classical solutions and represent the summation as an integral over appropriate degrees of freedom. In this way we get an effective field theory with SU(N)×SU(N) gauge symmetry. In the instanton approximation our effective theory has in addition a N=2 supersymmetry, ...

Kaluza-Klein compactifications of higher dimensional Yang–Mills theories contain a number of four dimensional scalars corresponding to the internal components of the gauge field. While at tree-level the scalar zero modes are massless, it is well known that quantum corrections make them massive. We compute these radiative corrections at 1–loop in an effective field theory framework, using the ba...

It is known that Yang-Mills theories on non-commutative space can be derived from largeN reduced models. Gauge fields in non-commutative Yang-Mills theories can be described as fluctuations of matrices expanded about an appropriate classical solution of the reduced models. We investigate a generalization of this procedure in superfield formalism. We show that we can construct a supermatrix mode...

The Z Z(N) center symmetry plays an important role in the deconfine-ment phase transition of SU(N) Yang-Mills theory at finite temperature. The exceptional group G(2) is the smallest simply connected gauge group with a trivial center. Hence, there is no symmetry reason why the low-and high-temperature regimes in G(2) Yang-Mills theory should be separated by a phase transition. Still, we present...

The well known topological monopoles originally investigated by ’t Hooft and Polyakov are known to arise in classical Yang-Mills-Higgs theory. With a pure gauge theory it is known that the classical Yang-Mills field equation do not have such finite energy configurations. Here we argue that such configurations may arise in a semi-quantized Yang-Mills theory, where the original gauge group, SU(3)...