We study the path integrals of the holomorphic Yang-Mills theory on compact Kähler surface with b2 = 1. Based on the results, we examine the correlation functions of the topological Yang-Mills theory and the corresponding Donaldson invariants as well as their transition formulas. Feb, 1995 † e-mail: [email protected] †† e-mail: [email protected]

We consider a model which effectively restricts the functional integral of Yang–Mills theories to the fundamental modular region. Using algebraic arguments, we prove that this theory has the same divergences as ordinary Yang Mills theory in the Landau gauge and that it is unitary. The restriction of the functional integral is interpreted as a kind of spontaneous breakdown of the BRS symmetry.

The superconformal properties of N = 4 Yang-Mills theory are most naturally studied using the formalism of harmonic superspace. Superconformal invariance is shown to imply that the Green's functions of analytic operators are invariant holomorphic sections of a line bundle on a product of certain harmonic superspaces and it is argued that the theory is soluble for a class of such operators.

We consider equivariant dimensional reduction of Yang-Mills theory on Kähler manifolds of the form M×CP 1×CP . This induces a rank two quiver gauge theory on M which can be formulated as a Yang-Mills theory of graded connections on M . The reduction of the Yang-Mills equations on M×CP 1×CP 1 induces quiver gauge theory equations on M and quiver vortex equations in the BPS sector. When M is the ...

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...

Yang-Mills Theories [1, 2, 3, 4] play an important hole on the description of both strong and weak interactions, being one of the most successful pillars of Fundamental Interactions. Nowadays electromagnetic and gravitational interactions can also be systematically described by the mechanisms of this class of field theories [5, 6, 7]. Here we develop a different approach to derive from classica...

We present a new model for Yang-Mills theory on the fuzzy sphere in which the configuration space of gauge fields is given by a coadjoint orbit. In the classical limit it reduces to ordinary Yang-Mills theory on the sphere. We find all classical solutions of the gauge theory and use nonabelian localization techniques to write the partition function entirely as a sum over local contributions fro...

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, ...

We explicitely realize a duality between the electric and magnetic variables in the SU(2) Yang-Mills theory. In particular, we expose a selfdual picture where the same effective action describes both the electric and the magnetic phase of the theory. Our results are consistent with the proposal that the physical spectrum of the Yang-Mills theory contains confining strings which are tied into st...

We discuss the N = 2 SU(2) Yang-Mills theory coupled with a massive matter in the weak coupling. In particular, we obtain the instanton expansion of its prepotential. Instanton contributions in the mass-less limit are completely reproduced. We study also the double scaling limit of this massive theory and find that the prepotential with instanton corrections in the double scaling limit coincide...