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A recent complete, explicit classification of all locally constructed symmetries and currents for free spinorial massless spin s fields on Minkowski space is summarized and extended to give a classification of all covariant symmetry…

Mathematical Physics · Physics 2007-05-23 Stephen C. Anco , Juha Pohjanpelto

Linearised gravity has a global symmetry under which the graviton is shifted by a symmetric tensor satisfying a certain flatness condition. There is also a dual symmetry that can be associated with a global shift symmetry of the dual…

High Energy Physics - Theory · Physics 2025-02-26 Chris Hull , Maxwell L Hutt , Ulf Lindström

New features of the generalized symmetries of generic two-dimensional dilaton models of gravity are presented and invariant gravity-matter couplings are introduced. We show that there is a continuum set of Noether symmetries, which contains…

General Relativity and Quantum Cosmology · Physics 2011-09-09 Miguel Navarro

A complete and explicit classification of generalized, or local, symmetries of massless free fields of spin $s \geq 1/2$ is carried out. Up to equivalence, these are found to consists of the conformal symmetries and their duals, new chiral…

Mathematical Physics · Physics 2008-12-19 Juha Pohjanpelto , Stephen C. Anco

We revisit universal features of duality in linear and nonlinear relativistic scalar and Abelian 1-form theories with single or multiple fields, which exhibit ordinary or generalized global symmetries. We show that such global symmetries…

High Energy Physics - Theory · Physics 2022-01-14 Athanasios Chatzistavrakidis , Georgios Karagiannis , Arash Ranjbar

We investigate the concept of tensor global symmetries, featuring conserved currents of mixed symmetry and higher spin Nambu-Goldstone bosons. We develop a Stueckelberg mechanism for mixed symmetry tensor fields at the linearized level,…

High Energy Physics - Theory · Physics 2024-12-16 Athanasios Chatzistavrakidis , Arash Ranjbar , Sara Zeko

The Noether symmetry approach is useful tool to restrict the arbitrariness in a gravity theory when the equations of motion are underdetermined due to the high number of functions to be determined in the ansatz. We consider two…

General Relativity and Quantum Cosmology · Physics 2016-05-11 U. Camci , A. Yildirim , I. Basaran Oz

Using a generalised Noether prescription we are able to extract all the currents and their conservation laws in space dependent shift symmetric theories. Various identities among the currents in the matter sector are found that form the…

High Energy Physics - Theory · Physics 2023-09-27 Rabin Banerjee , Anwesha Chakraborty

Gauge symmetries indicate redundancies in the description of the relevant degrees of freedom of a given field theory and restrict the nature of observable quantities. One of the problems faced by emergent theories of relativistic fields is…

General Relativity and Quantum Cosmology · Physics 2018-02-08 Carlos Barceló , Raúl Carballo-Rubio , Francesco Di Filippo , Luis J. Garay

We analyze four-dimensional quantum field theories with continuous 2-group global symmetries. At the level of their charges such symmetries are identical to a product of continuous flavor or spacetime symmetries with a 1-form global…

High Energy Physics - Theory · Physics 2019-03-27 Clay Cordova , Thomas T. Dumitrescu , Kenneth Intriligator

We investigate a class of theories involving a symmetric two-tensor field in Minkowski spacetime with a potential triggering spontaneous violation of Lorentz symmetry. The resulting massless Nambu-Goldstone modes are shown to obey the…

General Relativity and Quantum Cosmology · Physics 2015-05-13 Alan Kostelecky , Robertus Potting

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

This paper studies nonlinear deformations of the linear gauge theory of any number of spin-2 and spin-3/2 fields with general formal multiplication rules in place of standard Grassmann rules for manipulating the fields, in four spacetime…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Stephen C. Anco

A conservative extension of general relativity is proposed by alleviating the differentiability of the metric and allowing for non-smooth solutions. We show that these metrics break some symmetries of the Riemann tensor, yielding a new…

General Relativity and Quantum Cosmology · Physics 2019-03-27 Iberê Kuntz

We present the full list of conserved currents built of two massless spinor fields in Minkowski space and their derivatives multiplied by Clifford algebra elements. The currents have particular mixed-symmetry type described by Young…

High Energy Physics - Theory · Physics 2015-06-05 K. B. Alkalaev

We provide a general method for studying a manifestly covariant formulation of $p$-form gauge theories on the de Sitter space. This is done by stereographically projecting the corresponding theories, defined on flat Minkowski space, onto…

High Energy Physics - Theory · Physics 2008-11-26 Rabin Banerjee

Conserved currents of any spin $t>0$ built from symmetric massless gauge fields of any integer spin $s \geq t$ in {4d} Minkowski space are found. In particular, stress-energy tensor for a higher-spin field of any spin is constructed.…

High Energy Physics - Theory · Physics 2015-01-26 P. A. Smirnov , M. A. Vasiliev

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

Center one-form symmetries in consistent quantum gravity theories are expected to be either broken or gauged, thereby determining the global form of the gauge group. We shed light on this expectation from the perspective of distinguished…

High Energy Physics - Theory · Physics 2026-05-14 Guglielmo Lockhart , Luca Novelli , Yann Proto

Cubic couplings between a complex scalar field and a tower of symmetric tensor gauge fields of all ranks are investigated on any constant curvature spacetime of dimension d>2. Following Noether's method, the gauge fields interact with the…

High Energy Physics - Theory · Physics 2010-11-30 Xavier Bekaert , Elisa Meunier
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