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A review of the relationships between matrix models and noncommutative gauge theory is presented. A lattice version of noncommutative Yang-Mills theory is constructed and used to examine some generic properties of noncommutative quantum…

High Energy Physics - Theory · Physics 2010-11-19 Richard J. Szabo

Lattice gauge theories are lattice approximations of the Yang-Mills theory in physics. The abelian lattice Higgs model is one of the simplest examples of a lattice gauge theory interacting with an external field. In a previous…

Probability · Mathematics 2024-08-23 Malin Palö Forsström

We examine magnetic and electric near horizon regions of maximally supersymmetric D-brane and NS5-brane bound states and find transformations between near horizon regions with worldvolume dual magnetic and electric fluxes. These point to…

High Energy Physics - Theory · Physics 2010-05-28 H. Larsson , P. Sundell

Motivated by recent developments in string theory, we study the structure of boundary conditions in arbitrary conformal field theories. A boundary condition is specified by two types of data: first, a consistent collection of reflection…

High Energy Physics - Theory · Physics 2009-10-30 J. Fuchs , C. Schweigert

We study the mechanism of enhanced gauge symmetry of bosonic open string compatified on torus by analyzing the zero-norm soliton (nonzero winding of wilson line) gauge states in the spectrum. Unlike the closed string case, we find that the…

High Energy Physics - Theory · Physics 2015-06-25 Jen-Chi Lee

We address the phase space formulation of a noncommutative extension of quantum mechanics in arbitrary dimension, displaying both spatial and momentum noncommutativity. By resorting to a covariant generalization of the Weyl-Wigner transform…

High Energy Physics - Theory · Physics 2008-11-26 Catarina Bastos , Orfeu Bertolami , Nuno Costa Dias , João Nuno Prata

We study a matrix version of the purely cubic open string field theory as describing the expansion around the closed string vacuum. Any D-branes in the given closed string background can appear as classical solutions by using the identity…

High Energy Physics - Theory · Physics 2009-11-07 Yutaka Matsuo

We analyze unoriented Wess-Zumino-Witten models from a geometrical point of view. We show that the geometric interpretation of simple current crosscap states is as centre orientifold planes localized on conjugacy classes of the group…

High Energy Physics - Theory · Physics 2009-11-07 L. R. Huiszoon , K. Schalm , A. N. Schellekens

By integrating the Seiberg-Witten differential equation in a special path, we write ordinary gauge fields in terms of their non-commutative counterparts up to three non-commutative gauge fields. We then use this change of variables to write…

High Energy Physics - Theory · Physics 2009-10-31 Mohammad R. Garousi

The all-order structure of scattering amplitudes is greatly simplified by the use of Wilson line operators, describing eikonal emissions from straight lines extending to infinity. A generalization at subleading powers in the eikonal…

High Energy Physics - Theory · Physics 2022-04-13 Domenico Bonocore , Anna Kulesza , Johannes Pirsch

We study torus/orbifold models with magnetic flux and Wilson line background. The number of zero-modes and their profiles depend on those backgrounds. That has interesting implications from the viewpoint of particle phenomenology.

High Energy Physics - Theory · Physics 2009-12-30 Hiroyuki Abe , Kang-Sin Choi , Tatsuo Kobayashi , Hiroshi Ohki

We solve the non-linear monopole equation of the Born-Infeld theory to all orders in the NS 2-form and give physical implications of the result. The solution is constructed by extending the earlier idea of rotating the brane configuration…

High Energy Physics - Theory · Physics 2009-10-31 Sanefumi Moriyama

We consider open strings attached to a moving D$_p$-brane with motion along itself, in the presence of the backgrounds $B_{\mu \nu}$-field and a U(1) gauge field $A_{\alpha}$. The effects of the motion of the brane on the open string…

High Energy Physics - Theory · Physics 2009-11-07 Davoud Kamani

We present non-perturbative results for U(1) gauge theory in spaces, which include a non-commutative plane. In contrast to the commutative space, such gauge theories involve a Yang-Mills term, and the Wilson loop is complex on the…

High Energy Physics - Theory · Physics 2015-06-26 W. Bietenholz , A. Bigarini , F. Hofheinz , J. Nishimura , Y. Susaki , J. Volkholz

A simple method for breaking gauge groups by orbifolding is presented. We extend the method of Kac and Peterson to include Wilson lines. The complete classification of the gauge group breaking, e.g. from heterotic string, is now possible.…

High Energy Physics - Theory · Physics 2009-11-10 Kang-Sin Choi , Kyuwan Hwang , Jihn E. Kim

We investigate D-branes on the product GxG of two group manifolds described as Wess-Zumino-Novikov-Witten models. When the levels of the two groups coincide, it is well known that there exist permutation D-branes which are twisted by the…

High Energy Physics - Theory · Physics 2014-11-20 Stefan Fredenhagen , Cosimo Restuccia

The purpose of this paper is to investigate the global categorical symmetries that arise when gauging finite higher groups in three or more dimensions. The motivation is to provide a common perspective on constructions of non-invertible…

High Energy Physics - Theory · Physics 2024-07-17 Thomas Bartsch , Mathew Bullimore , Andrea E. V. Ferrari , Jamie Pearson

In this paper we find D-brane descriptions of some of new open string solutions that were found in 0804.3438[hep-th]. These D5-brane and D3-brane configurations give gravitational dual descriptions of Wilson loops in some particular…

High Energy Physics - Theory · Physics 2008-11-26 J. Kluson

Wilson lines in gauge theories admit several path integral descriptions. The first one (due to Alekseev-Faddeev-Shatashvili) uses path integrals over coadjoint orbits. The second one (due to Diakonov-Petrov) replaces a 1-dimensional path…

High Energy Physics - Theory · Physics 2015-11-20 Anton Alekseev , Olga Chekeres , Pavel Mnev

A definition of non-abelian genus zero open Wilson surfaces is proposed. The ambiguity in surface-ordering is compensated by the gauge transformations.

High Energy Physics - Theory · Physics 2014-11-18 Iouri Chepelev