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We study gauge symmetry in F-theory in light of global aspects. For this, we consider not only a simple (local) group, but also a semi-simple group with Abelian factors. Once we specify the complete gauge group by decomposing the…

High Energy Physics - Theory · Physics 2010-02-23 Kang-Sin Choi

In this review articel we study the gaugings of extended supergravity theories in various space-time dimensions. These theories describe the low-energy limit of non-trivial string compactifications. For each theory under consideration we…

High Energy Physics - Theory · Physics 2008-11-26 Martin Weidner

We explore the consequence of generalized symmetries in four-dimensional $\mathcal{N}=1$ superconformal field theories. First, we classify all possible supersymmetric gauge theories with a simple gauge group that have a nontrivial one-form…

High Energy Physics - Theory · Physics 2025-05-07 Monica Jinwoo Kang , Craig Lawrie , Ki-Hong Lee , Jaewon Song

A rich pattern of gauge symmetries is found in the moduli space of heterotic string toroidal compactifications, at fixed points of the T-duality transformations. We analyze this pattern for generic tori, and scrutinize in full detail…

High Energy Physics - Theory · Physics 2018-10-17 Bernardo Fraiman , Mariana Graña , Carmen A. Núñez

Non-invertible symmetries in quantum field theory (QFT) generalize the familiar product rule of groups to a more general fusion rule. In many cases, gauged versions of these symmetries can be regarded as dual descriptions of invertible…

High Energy Physics - Theory · Physics 2024-02-02 Jonathan J. Heckman , Jacob McNamara , Miguel Montero , Adar Sharon , Cumrun Vafa , Irene Valenzuela

In this paper, we discuss how gauging one-form symmetries in Chern-Simons theories is implemented in an A-twisted topological open string theory. For example, the contribution from a fixed H/Z bundle on a three-manifold M, arising in a BZ…

High Energy Physics - Theory · Physics 2024-10-17 Tony Pantev , Eric Sharpe , Xingyang Yu

A $q$-form global symmetry is a global symmetry for which the charged operators are of space-time dimension $q$; e.g. Wilson lines, surface defects, etc., and the charged excitations have $q$ spatial dimensions; e.g. strings, membranes,…

High Energy Physics - Theory · Physics 2015-06-23 Davide Gaiotto , Anton Kapustin , Nathan Seiberg , Brian Willett

We study 3d and 4d systems with a one-form global symmetry, explore their consequences, and analyze their gauging. For simplicity, we focus on $\mathbb{Z}_N$ one-form symmetries. A 3d topological quantum field theory (TQFT) $\mathcal{T}$…

High Energy Physics - Theory · Physics 2019-04-02 Po-Shen Hsin , Ho Tat Lam , Nathan Seiberg

We present a global analysis of the geometries that arise in non-compact current algebra (or gauged WZW) coset models of strings and particles propagating in curved space-time. The simplest case is the 2d black hole. In higher dimensions…

High Energy Physics - Theory · Physics 2009-10-22 I. Bars , K. Sfetsos

Recently, Kim, Shiu and Vafa proposed general consistency conditions for six dimensional supergravity theories with minimal supersymmetry coming from couplings to strings. We test them in explicit perturbative orientifold models in order to…

High Energy Physics - Theory · Physics 2020-12-30 Carlo Angelantonj , Quentin Bonnefoy , Cezar Condeescu , Emilian Dudas

R-symmetry gauged 6D (1,0) supergravities free from all local anomalies, with gauge groups $G\times G_R$ where $G_R$ is the R-symmetry group and $G$ is semisimple with rank greater than one, and which have no hypermultiplet singlets, are…

High Energy Physics - Theory · Physics 2020-08-13 Yi Pang , Ergin Sezgin

We devise a general method for obtaining $0$-form noninvertible discrete chiral symmetries in $4$-dimensional $SU(N)/\mathbb Z_p$ and $SU(N)\times U(1)/\mathbb Z_p$ gauge theories with matter in arbitrary representations, where $\mathbb…

High Energy Physics - Theory · Physics 2023-11-15 Mohamed M. Anber , Samson Y. L. Chan

The theory of a free spin-2 field on Minkowski spacetime has 1-form and $(d-3)$-form symmetries associated with conserved currents formed by contractions of the linearised Riemann tensor with conformal Killing-Yano 2-forms. We show that a…

High Energy Physics - Theory · Physics 2024-12-20 Chris Hull , Maxwell L Hutt , Ulf Lindström

We describe symmetry structure of a general singular theory (theory with constraints in the Hamiltonian formulation), and, in particular, we relate the structure of gauge transformations with the constraint structure. We show that any…

High Energy Physics - Theory · Physics 2007-05-23 D. M. Gitman , I. V. Tyutin

In this thesis we discuss non-perturbative phenomena emerging in gauge and in string/supergravity theories. We compute the partition function of 5D minimal supersymmetric U(1) gauge theory with extra adjoint matter in general…

High Energy Physics - Theory · Physics 2011-02-08 Marine Samsonyan

We consider toy models of holography arising from 3d Chern-Simons theory. In this context a duality to an ensemble average over 2d CFTs has been recently proposed. We put forward an alternative approach in which, rather than summing over…

High Energy Physics - Theory · Physics 2023-02-15 Francesco Benini , Christian Copetti , Lorenzo Di Pietro

In this article I first give an abbreviated history of string theory and then describe the recently-conjectured field-string duality. This suggests a class of nonsupersymmetric gauge theories which are conformal (CGT) to leading order of…

High Energy Physics - Theory · Physics 2007-05-23 P. H. Frampton

We review recent progress in constructing realistic brane models from type I string vacua. Explicit models with three families of the standard model gauge group and its left-right generalizations are presented with supersymmetry broken at…

High Energy Physics - Phenomenology · Physics 2007-05-23 G. Aldazabal , L. Ibanez , F. Quevedo

The interpretation of the apparent unification of gauge couplings within supersymmetric theories depends on uncertainties induced through heavy particle thresholds. While in standard grand unified theories these effects can be estimated…

High Energy Physics - Theory · Physics 2009-10-22 P. Mayr , H. P. Nilles , S. Stieberger

The symmetries and dynamics of simple chiral $SU(N)$ gauge theories, with matter Weyl fermions in a two-index symmetric tensor and $N+4$ anti-fundamental representations, are examined, by taking advantage of the recent developments…

High Energy Physics - Theory · Physics 2020-05-22 Stefano Bolognesi , Kenichi Konishi , Andrea Luzio