Spontaneously broken gauge theories are described as a perturbation of selfdual gauge theory. Instead of the incorporation of scalar degrees of freedom, the massive component of the gauge field is obtained from an anti-selfdual field strength consisting of three components before gauge fixing. The interactions describe a massive gauge theory that is non-polynomial with an expansion containing a...

We construct the string eld Hamiltonian for c = 1 6 m(m+1) string theory in the temporal gauge. In order to do so, we rst examine the Schwinger-Dyson equations of the matrix chain models and propose the continuum version of them. Results of boundary conformal eld theory are useful in making a connection between the discrete and continuum pictures. The W constraints are derived from the continuu...

We show how to cast an interacting system of M–branes into manifestly gaugeinvariant form using an arrangement of higher-dimensional Dirac surfaces. Classical M– theory has a cohomologically nontrivial and noncommutative set of gauge symmetries when written using a “doubled” formalism containing 3-form and 6-form gauge fields. We show how the arrangement of Dirac surfaces allows an integral sub...

We derive the master function governing the component action of the four-dimensional non-anticommutative (NAC) and fully N=2 supersymmetric gauge field theory with a non-simple gauge group U(2) = SU(2) × U(1). We use a Lorentz-singlet NACdeformation parameter and an N=2 supersymmetric star (Moyal) product, which do not break any of the fundamental symmetries of the undeformed N=2 gauge theory. ...

We study the star algebra of ghost sector in vacuum string field theory (VSFT). We show that the star product of two states in the Siegel gauge is BRST exact if we take the BRST charge to be the one found in [1], and the BRST exact states are nil factors in the star algebra. By introducing a new star product defined on the states in the Siegel gauge, the equation of motion of VSFT is characteri...

A four-dimensional gauge theory with anomalous fermion content can be consistently quantized, provided that at least some gauge fields are permitted to have nonvanishing masses. Such a theory is nonrenormalizable; there is a maximal value of the ultraviolet cutoff ,4. beyond which the locality of the theory breaks down. The maximal ,4 can be estimated in perturbation theory and has a qualitativ...

We propose that the low energy behavior of a pure gauge theory can be studied by simply assuming violation of Lorentz invariance which is implemented through a deformation of the canonical Poisson brackets of the theory depending on an infrared scale. The resulting theory is equivalent to a pure gauge theory with a Chern-Simons like term. It is shown that at low energies this theory can be iden...

A very simple field theory in noncommutative phase space (X M , P M) in d + 2 dimensions , with a gauge symmetry based on noncommutative u ⋆ (1, 1), furnishes the foundation for the field theoretic formulation of Two-Time Physics. This leads to a remarkable unification of several gauge principles in d dimensions, including Maxwell, Einstein and high spin gauge principles, packaged together into...

We derive the master function governing the component action of the four-dimensional non-anticommutative (NAC) and fully N=2 supersymmetric gauge field theory with a non-simple gauge group U(2) = SU(2) × U(1). We use a Lorentz-singlet NACdeformation parameter and an N=2 supersymmetric star (Moyal) product, which do not break any of the fundamental symmetries of the undeformed N=2 gauge theory. ...