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Conformal totally symmetric arbitrary spin currents and shadow fields in flat space-time of dimension greater than or equal to four are studied. Gauge invariant formulation for such currents and shadow fields is developed. Gauge symmetries…

High Energy Physics - Theory · Physics 2009-02-23 R. R. Metsaev

We make some general remarks on long-ranged configurations in gauge or diffeomorphism invariant theories where the fields are allowed to assume some non vanishing values at spatial infinity. In this case the Gauss constraint only eliminates…

General Relativity and Quantum Cosmology · Physics 2010-11-01 Domenico Giulini

A global symmetry of a quantum field theory is said to have an 't Hooft anomaly if it cannot be promoted to a local symmetry of a gauged theory. In this paper, we show that the anomaly is also an obstruction to defining symmetric boundary…

High Energy Physics - Theory · Physics 2023-02-22 Ryan Thorngren , Yifan Wang

Generalized symmetries (also known as categorical symmetries) is a newly developing technique for studying quantum field theories. It has given us new insights into the structure of QFT and many new powerful tools that can be applied to the…

High Energy Physics - Phenomenology · Physics 2023-06-06 T. Daniel Brennan , Sungwoo Hong

We present a class of three-dimensional quantum field theories whose ordinary global symmetries mix with higher-form symmetries to form a continuous 2-group. All these models can be obtained by performing a gauging procedure in a parent…

High Energy Physics - Theory · Physics 2023-05-26 Jeremias Aguilera Damia , Riccardo Argurio , Luigi Tizzano

We draw attention to a class of generalized global symmetries, which we call "Chern-Weil global symmetries," that arise ubiquitously in gauge theories. The Noether currents of these Chern-Weil global symmetries are given by wedge products…

High Energy Physics - Theory · Physics 2021-11-24 Ben Heidenreich , Jacob McNamara , Miguel Montero , Matthew Reece , Tom Rudelius , Irene Valenzuela

The construction of a theory of quantum gravity is an outstanding problem that can benefit from better understanding the laws of nature that are expected to hold in regimes currently inaccessible to experiment. Such fundamental laws can be…

High Energy Physics - Theory · Physics 2020-03-17 Friedrich Schöller

Spacetime inversion symmetries such as parity and time reversal play a central role in physics, but they are usually treated as global symmetries. In quantum gravity there are no global symmetries, so any spacetime inversion symmetries must…

High Energy Physics - Theory · Physics 2025-04-25 Daniel Harlow , Tokiro Numasawa

Different gaugings of the global symmetry of a quantum field theory are closely related to its various phases. In this work, we study candidate gaugeable symmetries by analyzing candidate Lagrangian algebra data in the Drinfeld center of a…

High Energy Physics - Theory · Physics 2026-04-29 Qiang Jia , Cheng Ma , Jiahua Tian

Asymptotic symmetries of AdS$_4$ quantum gravity and gauge theory are derived by coupling the dual CFT$_3$ to Chern-Simons gauge theory and 3D gravity in a "probe" large-level limit. The infinite-dimensional symmetries are shown to arise…

High Energy Physics - Theory · Physics 2018-02-14 Rashmish K. Mishra , Raman Sundrum

It is well-known that if we gauge a $\mathbb{Z}_n$ symmetry in two dimensions, a dual $\mathbb{Z}_n$ symmetry appears, such that re-gauging this dual $\mathbb{Z}_n$ symmetry leads back to the original theory. We describe how this can be…

High Energy Physics - Theory · Physics 2020-05-20 Lakshya Bhardwaj , Yuji Tachikawa

Symmetry plays a central role in quantum field theory. Recent developments include symmetries that act on defects and other subsystems, and symmetries that are categorical rather than group-like. These generalized notions of symmetry allow…

High Energy Physics - Theory · Physics 2022-05-20 Clay Cordova , Thomas T. Dumitrescu , Kenneth Intriligator , Shu-Heng Shao

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

We construct generalized symmetries for linearized Einstein gravity in arbitrary dimensions. First-principle considerations in QFT force generalized symmetries to appear in dual pairs. Verifying this prediction helps us find the full set of…

High Energy Physics - Theory · Physics 2023-05-24 Valentin Benedetti , Pablo Bueno , Javier M. Magan

The $(D+1)$-dimensional symmetry topological field theory (SymTFT$_{D+1}$) of a $D$-dimensional absolute quantum field theory (QFT$_D$) provides a topological characterization of symmetry data. In this framework, the SymTFT comes equipped…

High Energy Physics - Theory · Physics 2026-04-22 Oren Bergman , Jonathan J. Heckman , Max Hübner , Daniele Migliorati , Xingyang Yu , Hao Y. Zhang

In this thesis we study several problems in the context of AdS/CFT. The first is that of gravitational phase transitions between AdS and dS geometries in the Gauss-Bonnet theory of gravity. Such transitions are mediated by thermalons and do…

High Energy Physics - Theory · Physics 2017-12-08 J. Anibal Sierra-Garcia

A question is studied whether an observer can discover quantum gravity being in the semi-classical regime. It is shown that it is indeed possible to probe a certain quantum gravity effect by employing an appropriately designed detector. The…

High Energy Physics - Theory · Physics 2016-01-06 Slava Emelyanov

For more than 80 years theoretical physicists have been trying to develop a theory of quantum gravity which would successfully combine the tenets of Einstein's theory of general relativity (GR) together with those of quantum field theory.…

General Relativity and Quantum Cosmology · Physics 2019-03-20 Andreas G. A. Pithis

Symmetry Theories (SymThs) provide a flexible framework for analyzing the global categorical symmetries of a $D$-dimensional QFT$_{D}$ in terms of a $(D+1)$-dimensional bulk system SymTh$_{D+1}$. In QFTs realized via local string…

High Energy Physics - Theory · Physics 2025-02-04 Jonathan J. Heckman , Max Hübner

In this paper we study the consistency of generalized global symmetries in theories of quantum gravity, in particular string theory. Such global symmetries arise in theories with $(p+1)$-form gauge fields, and for spacetime dimension $d\leq…

High Energy Physics - Theory · Physics 2017-09-13 Miguel Montero , Angel M. Uranga , Irene Valenzuela