We consider brane configurations in M-theory describing N = 1 supersymmetric gauge theories. Using the parametric representation of the brane configurations, we calculate the superpotentials for various cases including multiple gauge groups or fermions. For SU(n) N = 1 SQCD with Nf fermion case (Nf < Nc), we find that the superpotential from M-theory and the gauge theory agree precisly. This gi...

A formalism is presented where gauge theories for nonabelian groups can be constructed on a noncommutative algebra.

We show that a large class of Euclidean extended supersymmetric lattice gauge theories constructed in [1–3] can be regarded as compact formulations by using the polar decomposition of the complex link fields. In particular, the gauge part of the supersymmetric lattice action is the standard Wilson action. This formulation facilitates the construction of gauge invariant operators.

In this paper, we intend to study a connection between rough sets and lattice theory. We introduce the concepts of upper and lower rough ideals (filters) in a lattice. Then, we offer some of their properties with regard to prime ideals (filters), the set of all fixed points, compact elements, and homomorphisms. 2012 Elsevier Inc. All rights reserved.

This article presets a review of lattice lattice basis reduction types. Paper contains the main five types of lattice basis reduction: size reduced (weak Hermit), c-reduced, Lovasz condition, Hermit-Korkin-Zolotarev, Minkowski reduced. The article provides references to applications in: information theory (decoding of coding group in MIMO), calculus (minimize of the positive quadratic form), co...

We perform a renormalization group transformation to construct a lattice theory of chiral fermions. The field variables of the continuum theory are averaged over hypercubes to define lattice fields. Integrating out the continuum variables in perturbation theory we derive a chirally invariant effective action for the lattice fields. This is consistent with the Nielsen-Ninomiya theorem because th...

Using the results of several quenched lattice simulations, we predict the value of the strange and charm quark masses in the continuum at the next-to-leading order, m M S s (µ = 2 GeV) = (128 ± 18) MeV and m M S ch (µ = 2 GeV) = (1.48± 0.28) GeV. The errors quoted above have been estimated by taking into account the original statistical error of the lattice results and the uncertainties coming ...

We establish the ultraviolet finiteness of various classes of noncommutative gauge theories.

We present a brief review on the canonical transformation description of some duality symmetries in string and gauge theories. In particular, we consider abelian and non-abelian T-dualities in closed and open string theories as well as S-duality in abelian and non-abelian non-supersymmetric gauge theories. THU-96/36 hep-th/9610024 October 1996 Talk given at the Argonne Duality Institute, June 2...