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We discuss asymptotic safety in four-dimensional $\mathcal{N} = 1$ supersymmetric gauge theories. Our main conclusion is that in a reasonable definition of this phenomenon there are currently no controlled examples of it; there are reasons…

High Energy Physics - Theory · Physics 2018-06-08 Meseret Asrat

We discuss some aspects of the relation between dualities and gauge symmetries. Both of these ideas are of course multi-faceted, and we confine ourselves to making two points. Both points are about dualities in string theory, and both have…

History and Philosophy of Physics · Physics 2016-03-29 Sebastian De Haro , Nicholas Teh , Jeremy N. Butterfield

$ \hat {U}(1)$ Kac-Moody gauge fields have the infinite dimensional $ \hat{U}(1)$ Kac-Moody group as their gauge group. The pure gauge sector, unlike the usual $U(1)$ Maxwell lagrangian, is nonlinear and nonlocal; the Euclidean theory is…

High Energy Physics - Theory · Physics 2009-10-28 B. E. Baaquie , R. Parwani

We consider a series of duality transformations that leads to a constant shift in the harmonic functions appearing in the description of a configuration of branes. This way, for several intersections of branes, we can relate the original…

High Energy Physics - Theory · Physics 2008-12-18 H. J. Boonstra , B. Peeters , K. Skenderis

Gauge symmetries are often highlighted as a fundamental cornerstone of modern physics. But at the same time, it is commonly emphasized that gauge symmetries are not a fundamental feature of nature but merely redundancies in our description.…

History and Philosophy of Physics · Physics 2019-01-30 Jakob Schwichtenberg

We find the set of generalized symmetries associated with the free graviton theory in four dimensions. These are generated by gauge invariant topological operators that violate Haag duality in ring-like regions. As expected from general QFT…

High Energy Physics - Theory · Physics 2022-05-25 Valentin Benedetti , Horacio Casini , Javier M. Magan

We initiate the systematic construction of gauged matter-coupled supergravity theories in two dimensions. Subgroups of the affine global symmetry group of toroidally compactified supergravity can be gauged by coupling vector fields with…

High Energy Physics - Theory · Physics 2008-11-26 Henning Samtleben , Martin Weidner

We discuss aspects of global and gauged symmetries in quantum field theory and quantum gravity, focusing on discrete gauge symmetries. An effective Lagrangian description of $\Z_p$ gauge theories shows that they are associated with an…

High Energy Physics - Theory · Physics 2011-04-22 Tom Banks , Nathan Seiberg

Recently, large gauge transformation (LGT), the residual gauge symmetry after gauge fixing that survives at null infinity, has drawn much attention concerning soft theorems and the memory effect. We point out that LGT charges in quantum…

High Energy Physics - Theory · Physics 2017-11-29 Yuta Hamada , Min-Seok Seo , Gary Shiu

The gravitational memory effect and its electromagnetic (EM) analog are potential probes in the strong gravity regime. In the literature, this effect is derived for static observers at asymptotic infinity. While this is a physically…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Susmita Jana , S. Shankaranarayanan

We study compactified pure gauge/gravitational theories with gauge-fixing terms and show that these theories possess quantum mechanical SUSY-like symmetries between unphysical degrees of freedom. These residual symmetries are global…

High Energy Physics - Theory · Physics 2008-11-26 C. S. Lim , Tomoaki Nagasawa , Satoshi Ohya , Kazuki Sakamoto , Makoto Sakamoto

Gauge symmetries play a central role, both in the mathematical foundations as well as the conceptual construction of modern (particle) physics theories. However, it is yet unclear whether they form a necessary component of theories, or…

History and Philosophy of Physics · Physics 2024-10-18 Philipp Berghofer , Jordan François , Simon Friederich , Henrique Gomes , Guy Hetzroni , Axel Maas , René Sondenheimer

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

The Two Higgs Doublet Model invariant under the gauge group SU(2)xU(1) is known to have six additional global discrete or continuous symmetries of its scalar sector. We have discovered regions of parameter space of the model which are basis…

High Energy Physics - Phenomenology · Physics 2023-07-18 Pedro M. Ferreira , Bohdan Grzadkowski , Odd Magne Ogreid , Per Osland

We extend the asymptotic symmetries of electromagnetism in order to consistently include angle-dependent $u(1)$ gauge transformations $\epsilon$ that involve terms growing at spatial infinity linearly and logarithmically in $r$, $\epsilon…

High Energy Physics - Theory · Physics 2023-03-29 Oscar Fuentealba , Marc Henneaux , Cédric Troessaert

Gauge symmetries play a fundamental role in Physics, as they provide a mathematical justification for the fundamental forces. Usually, one starts from a non-interactive theory which governs `matter', and features a global symmetry. One then…

Cellular Automata and Lattice Gases · Physics 2022-01-25 Pablo Arrighi , Marin Costes , Nathanaël Eon

Pure gauge theories for de Sitter, anti de Sitter and orthogonal groups, in four-dimensional Euclidean spacetime, are studied. It is shown that, if the theory is asymptotically free and a dynamical mass is generated, then an effective…

High Energy Physics - Theory · Physics 2012-12-13 R. F. Sobreiro , A. A. Tomaz , V. J. Vasquez Otoya

We apply the Hamiltonian formalism to investigate the massless sector of scalar field theory coupled with Maxwell electrodynamics through the Pontryagin term. Specifically, we analyze asymptotic symmetries at the null infinity of this…

High Energy Physics - Theory · Physics 2024-12-20 Hernán A. González , Oriana Labrin , Olivera Miskovic

We classify all the first-order vertices of gravity consistently coupled to a system of 2-form gauge fields by computing the local BRST cohomology H(s|d) in ghost number 0 and form degree n. The consistent deformations are at most linear in…

High Energy Physics - Theory · Physics 2009-10-31 Xavier Bekaert , Bernard Knaepen , Christiane Schomblond

We consider the interplay of duality symmetries and gauged isometries of supergravity models giving N-extended, spontaneously broken supergravity with a no-scale structure. Some examples, motivated by superstring and M-theory…

High Energy Physics - Theory · Physics 2009-11-07 L. Andrianopoli , R. D'Auria , S. Ferrara , M. A. Lledo
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