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Using Maccaferri's formula, we derive new wedge based solutions of open string field theory. The solutions are gauge equivalent to the Takahashi-Tanimoto scalar solutions. The classical action and the gauge invariant overlap are evaluated…

High Energy Physics - Theory · Physics 2015-07-21 Syoji Zeze

We consider abelian gauge theories on a lattice and develop properties of an axial gauge that is covariant under lattice symmetries. Particular attention is paid to a version that behaves nicely under block averaging renormalization group…

Mathematical Physics · Physics 2015-06-11 J. Dimock

We review some aspects of gauged WZW models. By choosing a nilpotent subgroup as gauge group, one is lead to three main applications: the construction of field theories with an extended conformal symmetry, the construction of the effective…

High Energy Physics - Theory · Physics 2007-05-23 A. Sevrin

The acceleration transformations form a 4-parameter Abelian subgroup of the conformal group of Minkowski spacetime. The passive interpretation of acceleration transformations leads to a congruence of uniformly accelerated observers in…

General Relativity and Quantum Cosmology · Physics 2019-08-05 Bahram Mashhoon

A general procedure to reveal an Abelian structure of Yang-Mills theories by means of a (nonlocal) change of variables, rather than by gauge fixing, in the space of connections is proposed. The Abelian gauge group is isomorphic to the…

High Energy Physics - Theory · Physics 2009-10-31 Sergei V. Shabanov

In Part 1, we describe six projective-type model structures on the category of differential graded modules over a differential graded algebra A over a commutative ring R. When R is a field, the six collapse to three and are well-known, at…

Category Theory · Mathematics 2014-12-03 Tobias Barthel , J. P. May , Emily Riehl

Over the past few years it has been discovered that an "observable" can be set up on the lattice which obeys the discrete Cauchy-Riemann equations. The ensuing condition of discrete holomorphicity leads to a system of linear equations which…

Mathematical Physics · Physics 2013-09-17 Murray T. Batchelor

W-transforms are introduced as uniformity-preserving univariate transformations on the unit interval induced by distribution functions and piecewise strictly monotone functions, and their properties are investigated. When applied…

Methodology · Statistics 2025-10-01 Marius Hofert , Zhiyuan Pang

The notion of defect of a finitely presented functor on a module category is extended to arbitrary additive functors. The new defect and the contravariant Yoneda embedding form a right adjoint pair. The main result identifies the defect of…

Representation Theory · Mathematics 2024-03-21 Alex Martsinkovsky

Inequivalent standard-like observable sector embeddings in $Z_3$ orbifolds with two discrete Wilson lines, as determined by Casas, Mondragon and Mu\~noz, are completed by examining all possible ways of embedding the hidden sector. The…

High Energy Physics - Theory · Physics 2014-11-18 Joel Giedt

In this article we investigate an interpolating gauge fixing procedure in $(4l+3)$-dimensional abelian Chern-Simons theory. We show that this interpolating gauge is related to the covariant gauge in a constant anisotropic metric. We compute…

High Energy Physics - Theory · Physics 2018-01-16 Laurent Gallot , Philippe Mathieu , Éric Pilon , Frank Thuillier

We develop a gauge invariant canonical perturbation scheme for perturbations around symmetry reduced sectors in generally covariant theories, such as general relativity. The central objects of investigation are gauge invariant observables…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bianca Dittrich , Johannes Tambornino

Adjustments are additional structures on crossed modules of Lie groups, serving as a tool in higher gauge theory to circumvent the fake flatness of connections on 2-bundles. In this article, we investigate the existence and classification…

Differential Geometry · Mathematics 2025-10-23 Matthias Ludewig , Konrad Waldorf

The A-model for finite rank singular perturbations of class $\mathfrak{H}_{-m-2}\smallsetminus\mathfrak{H}_{-m-1}$, $m\in\mathbb{N}$, is considered from the perspective of boundary relations. Assuming further that the Hilbert spaces…

Functional Analysis · Mathematics 2020-08-03 Rytis Jursenas

We present an alternative construction of Soergel's category of bimodules associated to a reflection faithful representation of a Coxeter system. We show that its objects can be viewed as sheaves on the associated moment graph. We introduce…

Representation Theory · Mathematics 2010-06-07 Peter Fiebig

In the Abelian-Higgs model, or Ginzburg-Landau model of superconductivity, the existence of an infrared stable charged fixed point ensures that there is a parameter range where the superconducting phase transition is second order, as…

High Energy Physics - Theory · Physics 2019-07-22 Aron J. Beekman , Gergely Fejős

Observable currents are locally defined gauge invariant conserved currents; physical observables may be calculated integrating them on appropriate hypersurfaces. Due to the conservation law the hypersurfaces become irrelevant up to…

General Relativity and Quantum Cosmology · Physics 2018-08-03 Homero G. Díaz-Marín , José A. Zapata

The problem of gauging a closed form is considered. When the target manifold is a simple Lie group G, it is seen that there is no obstruction to the gauging of a subgroup H\subset G if we may construct from the form a cocycle for the…

High Energy Physics - Theory · Physics 2009-10-31 J. A. de Azcarraga , J. C. Perez Bueno

In this paper, a semi-simple and Maxwell extension of the (anti) de Sitter algebra is constructed. Then, a gauge-invariant model has been presented by gauging the Maxwell semi-simple extension of the (anti) de Sitter algebra. We firstly…

High Energy Physics - Theory · Physics 2021-09-29 Salih Kibaroğlu , Oktay Cebecioğlu

We study a higher order conformally coupled scalar tensor theory endowed with a covariant geometric constraint relating the scalar curvature with the Gauss-Bonnet scalar. It is a particular Horndeski theory including a canonical kinetic…

General Relativity and Quantum Cosmology · Physics 2022-10-05 Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine , Nicolas Lecoeur
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