We study four dimensional gauge theories in the context of an equivariant extension Batalin-Vilkovisky (BV) formalism. discuss embedding BV Yang-Mills (YM) theory into a larger and their relation. Partial integration setting (BV push-forward map) is performed explicitly for abelian case. As result, we obtain non-local homological generalization Cartan calculus YM action which satisfies master e...

A bstract In this article, subleading (in 1 /N ) corrections to the action of one loop dilatation operator in su(3) sector $$ \mathcal{N} N = 4 super Yang-Mills theory are studied. We focus on system operators dual two giant graviton systems, which have a bare dimension ∼ \mathcal{O} O ( N an...

In axiomatic quantum field theory, the postulate of uniqueness vacuum (a pure state) is independent from other axioms and equivalent to cluster decomposition property. The latter, however, implies a Coulomb or Yukawa attenuation interactions at growing distances hence cannot accommodate confining properties strong interaction. Thesolution Yang–Mills theory given previously uses an auxiliary inc...

We consider compactifications of the matrix model of M-theory on S/Z2 × T for d > 0, and interpret them as orbifolds of the supersymmetric U(N) Yang-Mills theory on R×T. The orbifold group acts both on the gauge group and on the T, reduces the gauge group to O(N) over 1 + 1 dimensional fixed-point submanifolds, and breaks half of the supersymmetry. We clarify some puzzling aspects of the gauge ...

A classification of gravitating Yang–Mills systems in all dimensions is presented. These systems are set up so that they support finite energy solutions. Both regular and black hole solutions are considered, the former being the limit of the latter for vanishing event horizon radius. Special attention is paid to systems necessarily involving higher order Yang–Mills curvature terms, along with t...

We use an analogy between the Yang-Mills theory Hamiltonian and the matrix model description of the closed bosonic membrane theory to calculate the spectrum of glueballs in the large Nc limit. Some features of the Yang-Mills theory vacuum, such as the screening of the topological charge and vacuum topological susceptibility are discussed. We show that the topological susceptibility has differen...

We introduce a simple method to extract the representation content of the spectrum of a system with SU(2) symmetry from its partition function. The method is easily generalized to systems with SO(2,4) symmetry, such as conformal field theories in four dimensions. As a specific application we obtain an explicit generating function for the representation content of free planar Yang-Mills theory o...

We argue that the string theory dual to a certain sector of the four-dimensional Yang-Mills theory at large-N is the A-model wrapping N Lagrangian Dbranes on the twistor space of the complex two-dimensional projective space, with a certain flux and Wilson loop background, by finding that the targetspace beta function of this A-model coincides with the large-N beta function of the Yang-Mills the...

We study the suitability of complex Wilson loop variables as (generalized) coordinates on the physical phase space of SU (2)-Yang-Mills theory. To this end, we construct a natural one-to-one map from the physical phase space of the Yang-Mills theory with compact gauge group G to a subspace of the physical configuration space of the complex G C-Yang-Mills theory. Together with a recent result by...

We consider certain vacua of four-dimensional SU(N) Yang-Mills gauge theory with the same field content as the N = 4 supersymmetric Yang-Mills theory, resulting from potentials which break the N = 4 supersymmetry as well as its global SO(6) symmetry down to SO(3)×SO(3). We show that the theory behaves at intermediate scales as Yang-Mills theory on M × S L × S 2 R with magnetic fluxes on the ext...