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We review the basic elements of the geometrical formalism for description of gauge fields and the theory of invariant connections, and their applications to the coset space dimensional reduction of Yang-Mills theories. We also discuss the…

Mathematical Physics · Physics 2007-05-23 Yuri A. Kubyshin

In this paper we conduct a general, model-independent analysis of the running of gauge couplings within closed string theories. Unlike previous discussions in the literature, our calculations fully respect the underlying modular invariance…

High Energy Physics - Theory · Physics 2023-07-05 Steven Abel , Keith R. Dienes , Luca A. Nutricati

This article is expository in nature, outlining some of the many still incompletely understood features of higher spin field theory. We are mainly considering higher spin gauge fields in their own right as free-standing theoretical…

High Energy Physics - Theory · Physics 2008-12-19 Anders K. H. Bengtsson

We analyze the gauge structure of a recently proposed superconformal field theory in six dimensions. We find that this structure amounts to a weak Courant-Dorfman algebra, which, in turn, can be interpreted as a strong homotopy Lie algebra.…

High Energy Physics - Theory · Physics 2013-11-27 Sam Palmer , Christian Saemann

We examine the incorporation of gauge symmetries in the modern effective field theory (EFT) matching paradigm with a particular focus on spontaneously broken symmetries. The presence of gauge symmetries entails the introduction of…

High Energy Physics - Phenomenology · Physics 2025-01-13 Anders Eller Thomsen

We reformulate gauge theories in analogy with the vierbein formalism of general relativity. More specifically, we reformulate gauge theories such that their gauge dynamical degrees of freedom are local fields that transform linearly under…

High Energy Physics - Theory · Physics 2016-11-23 Daniel J. H. Chung , Ran Lu

We discuss two dimensional string theories containing gauge fields introduced either via coupling to open strings, in which case we get a Born-Infeld type action, or via heterotic compactification. The solutions to the modified background…

High Energy Physics - Theory · Physics 2011-07-19 Michael D. McGuigan , Chiara R. Nappi , Scott A. Yost

In this review we present some of the fundamental mathematical structures which permit to define noncommutative gauge field theories. In particular, we emphasize the theory of noncommutative connections, with the notions of curvatures and…

Mathematical Physics · Physics 2015-06-03 Thierry Masson

We consider generating functionals of Green's functions with external fields in the framework of BV and BLT quantization schemes for general gauge theories. The corresponding Ward identities are obtained, and the gauge dependence is…

High Energy Physics - Theory · Physics 2009-10-30 S. Falkenberg , B. Geyer , P. Lavrov , P. Moshin

String theories should reduce to ordinary four-dimensional field theories at low energies. Yet the formulation of the two are so different that such a connection, if it exists, is not immediately obvious. With the Schwinger proper-time…

High Energy Physics - Theory · Physics 2009-10-28 Y. J. Feng , C. S. Lam

A string field theory including open string fields is constructed in the temporal gauge. It consists of string interaction vertices similar to the light-cone gauge string field theory. A slight modification of the definition of the time…

High Energy Physics - Theory · Physics 2009-10-28 T. Mogami

We implement in the formal language of homotopy type theory a new set of axioms called cohesion. Then we indicate how the resulting cohesive homotopy type theory naturally serves as a formal foundation for central concepts in quantum gauge…

Mathematical Physics · Physics 2014-08-04 Urs Schreiber , Michael Shulman

A Double Field Theory (DFT) description of gauge symmetry enhancing-breaking in the heterotic string is presented. The construction, based on previous results for the bosonic string, relies on the extension of the tangent frame of DFT. The…

High Energy Physics - Theory · Physics 2017-10-25 Gerardo Aldazabal , Eduardo Andres , Martin Mayo , Victor Penas

We investigate the properties of foliated gauge fields and construct several foliated field theories in 3+1d that describe foliated fracton orders both with and without matter, including the recent hybrid fracton models. These field…

Strongly Correlated Electrons · Physics 2021-08-18 Po-Shen Hsin , Kevin Slagle

We construct fully gauge-invariant kinetic terms for open and closed string field theories on a target space with boundary. This is realized by promoting the gauge parameters at the boundary to extra dynamical modes describing boundary…

High Energy Physics - Theory · Physics 2026-02-10 Carlo Maccaferri , Alberto Ruffino , Jakub Vošmera

A comprehensive approach to the theory of higher spin gauge fields is proposed. By explicitly separating out details of implementation from general principles, it becomes possible to focus on the bare minimum of requirements that such a…

High Energy Physics - Theory · Physics 2011-07-19 A. K. H. Bengtsson

We generalize the operadic approach to algebraic quantum field theory [arXiv:1709.08657] to a broader class of field theories whose observables on a spacetime are algebras over any single-colored operad. A novel feature of our framework is…

Mathematical Physics · Physics 2019-10-22 Simen Bruinsma , Alexander Schenkel

The topological properties of field configurations in gauge theory contain important data about the (generalized) global symmetries of the theory as well as potential inconsistencies in the form of gauge anomalies. In this work we modify…

High Energy Physics - Theory · Physics 2026-04-03 Markus Dierigl , Ruben Minasian , Dušan Novičić

We propose a generalization of the stochastic gauge fixing procedure for the stochastic quantization of gauge theories where not only the drift term of the stochastic process is changed but also the Wiener process itself. All gauge…

High Energy Physics - Theory · Physics 2009-10-30 Helmuth Huffel , Gerald Kelnhofer

We demonstrate how one can see quantization of geometry, and quantum algebraic structure in supersymmetric gauge theory.

High Energy Physics - Theory · Physics 2017-05-16 Taro Kimura