We find new, local, non-supersymmetric conformal field theories obtained by relevant deformations of the N=4 super Yang Mills theory in the large N limit. We contruct interpolating supergravity solutions that naturally represent the flow from the N=4 super Yang Mills UV theory to these non-supersymmetric IR fixed points. We also study the linearization around the N=4 superconformal point of N=1...

Using the collective field theory approach of large–N generalized two–dimensional Yang–Mills theory on cylinder, it is shown that the classical equation of motion of collective field is a generalized Hopf equation. Then, using the Itzykson–Zuber integral at the large–N limit, it is found that the classical Young tableau density, which satisfies the saddle–point equation and determines the large...

A self-consistent non-minimal non-Abelian Einstein-Yang-Mills model, containing three phenomenological coupling constants, is formulated. The ansatz of a vanishing Yang-Mills induction is considered as a particular case of the self-duality requirement for the gauge field. Such an ansatz is shown to allow obtaining an exact solution of the selfconsistent set of equations when the space-time has ...

In its Euclidean formulation, the AdS/CFT correspondence begins as a study of Yang-Mills conformal field theories on the sphere, S. It has been successfully extended, however, to S × S and to the torus T . It is natural to hope that it can be made to work for any manifold on which it is possible to define a stable Yang-Mills conformal field theory. We consider a possible classification of such ...

Extended BRST invariance (BRST plus anti-BRST invariances) provides in principle a natural way of introducing the complete gauge fixing structure associated to a gauge field theory in the minimum representation of the algebra. However, as it happens in topological Yang Mills theory, not all gauge fixings can be obtained from a symmetrical extended BRST algebra, where antighosts belong to the sa...

We show that the cosmological sphaleron of the Einstein-Yang-Mills system can be produced from real tunneling geometries. The sphaleron will tend to roll down to the vacuum or pure gauge field configuration, when the universe evolves in the Lorentzian signature region with the sphaleron and the corresponding hypersurface being the initial data for the Yang-Mills field and the universe, respecti...

We present an on-shell superspace formulation of ten-dimensional N = 1 supergravity coupled to N = 1 super Yang-Mills theory. The coupling is completely specified in superspace by the Bianchi dH = crtrF2, where H is the gauge-invariant S-form field strength of supergravity and F is the 2-form super Yang-Mills field strength. We also briefly discuss the theory that results from modifying this Bi...

The so-called Yang-Mills mechanics originates from Yang-Mills field theory under the supposition of the spatial homogeneity of the gauge fields. Since its introduction twenty years ago [1] this model has been studied extensively from different points of view [2] [13]. The model is known to exhibit stochastical behaviour at the classical level. In particular it has been shown for a simplified tw...

We construct monopole-antimonopole chain and vortex solutions in Yang-Mills-Higgs theory coupled to Einstein gravity. The solutions are static, axially symmetric and asymptotically flat. They are characterized by two integers (m,n) where m is related to the polar angle and n to the azimuthal angle. Solutions with n = 1 and n = 2 correspond to chains of m monopoles and antimonopoles. Here the Hi...

Perturbiner, that is, the solution of field equations which is a generating function for tree form-factors in N = 3 (N = 4) supersymmetric Yang-Mills theory, is studied in the framework of twistor formulation of the N = 3 superfield equations. In the case, when all one-particle asymptotic states belong to the same N = 3 supermul-tiplet (without any restriction on kinematics), the solution is de...