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The influence of higher dimensions in noncommutative field theories is considered. For this purpose, we analyze the bosonic sector of a recently proposed 6 dimensional SU(3) orbifold model for the electroweak interactions. The corresponding…

High Energy Physics - Theory · Physics 2009-11-11 J. C. Lopez-Dominguez , O. Obregon , C. Ramirez

The following work demonstrates the viability of Poincar\'e symmetry in a discrete universe. We develop the technology of the discrete principal Poincar\'e bundle to describe the pairing of (1) a hypercubic lattice `base manifold' labeled…

General Physics · Physics 2019-02-13 Alexander S. Glasser , Hong Qin

In this paper, we consider a compact five dimensional spacetime with the structure $\mathcal{M}^{1,3}\times S^{1}$. Generally speaking, motion on such a structure will break Lorentz invariance, allowing for causal bulk signals to propagate…

High Energy Physics - Theory · Physics 2023-09-29 Huangcheng Yin

The gauge dependence of the conformal anomaly for spin 3/2 and spin 2 fields in non-conformal supergravities has been a long standing puzzle. In this Letter we argue that the `correct' gauge choice is the one that follows from requiring all…

High Energy Physics - Theory · Physics 2017-08-09 Krzysztof A. Meissner , Hermann Nicolai

We study the four-dimensional effective theory arising from ten-dimensional heterotic supergravity compactified on manifolds with torsion. In particular, given the heterotic superpotential appropriately corrected at $\mathcal{O}(\alpha')$…

High Energy Physics - Theory · Physics 2016-09-14 Xenia de la Ossa , Edward Hardy , Eirik Eik Svanes

In this paper, we investigate the Poincar\'e and discrete symmetries of a $\kappa$-deformed spin-$\tfrac12$ field, extending recent results obtained for scalar fields. We construct an action that is Poincar\'e invariant and analyze its…

High Energy Physics - Theory · Physics 2026-05-29 Tadeusz Adach , Andrea Bevilacqua , Jerzy Kowalski-Glikman , Giacomo Rosati , Wojciech Wiślicki

A quantum deformation of the conformal algebra of the Minkowskian spacetime in $(3+1)$ dimensions is identified with a deformation of the $(4+1)$-dimensional AdS algebra. Both Minkowskian and AdS first-order non-commutative spaces are…

High Energy Physics - Theory · Physics 2015-06-26 Angel Ballesteros , N Rossano Bruno , Francisco J. Herranz

Nonlinear covariant parity-violating deformations of free spin-two gauge theory are studied in n>2 spacetime dimensions, using a linearized frame and spin-connection formalism, for a set of massless spin-two fields. It is shown that the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Stephen C. Anco

We study $dS_5$ vacua within matter-coupled $N=4$ gauged supergravity in five dimensions using the embedding tensor formalism. With a simple ansatz for solving the extremization and positivity of the scalar potential, we derive a set of…

High Energy Physics - Theory · Physics 2019-10-15 H. L. Dao , Parinya Karndumri

The theory of the $\kappa$-deformed Poincare algebra is applied to the analysis of various phenomena in special relativity, quantum mechanics and field theory. The method relies on the development of series expansions in $\kappa^{-1}$ of…

General Relativity and Quantum Cosmology · Physics 2009-11-05 J. P. Bowes , P. D. Jarvis

We develop a covariant Hamiltonian formulation of the Mathisson-Papapetrou-Tulczyjew-Dixon dynamics at quadratic order in spin under the Tulczyjew-Dixon spin supplementary condition (TD SSC). In four-dimensional, type-D Einstein…

General Relativity and Quantum Cosmology · Physics 2026-01-14 Paul Ramond , Soichiro Isoyama , Adrien Druart

It is by now well established that the momentum space dual to the non-commutative $\kappa$-Minkowski space is a submanifold of de Sitter space. It has been noticed recently that field theories built on such momentum space suffer from a…

High Energy Physics - Theory · Physics 2010-01-15 M. Arzano , J. Kowalski-Glikman , A. Walkus

We show that a quantum-mechanical N=2 supersymmetry is hidden in 4d mass spectrum of any gauge invariant theories with extra dimensions. The N=2 supercharges are explicitly constructed in terms of differential forms. The analysis can be…

High Energy Physics - Theory · Physics 2009-11-11 C. S. Lim , Tomoaki Nagasawa , Makoto Sakamoto , Hidenori Sonoda

The asymptotic symmetries of electromagnetism in all higher spacetime dimensions $d>4$ are extended, by incorporating consistently angle-dependent $u(1)$ gauge transformations with a linear growth in the radial coordinate at spatial…

High Energy Physics - Theory · Physics 2023-05-03 Oscar Fuentealba

We show that each rigid symmetry of a D-string action is contained in a family of infinitely many symmetries. In particular, kappa-invariant D-string actions have infinitely many supersymmetries. The result is not restricted to standard…

High Energy Physics - Theory · Physics 2009-10-31 Friedemann Brandt , Joaquim Gomis , David Mateos , Joan Simón

We derive a local, gauge invariant action for the SU(N) non-linear sigma-model in 2+1 dimensions. In this setting, the model is defined in terms of a self-interacting pseudo vector-field \theta_\mu, with values in the Lie algebra of the…

High Energy Physics - Theory · Physics 2010-12-01 C. D. Fosco , C. P. Constantinidis

Abelian gauge theory in $d\neq 4$ spacetime dimensions is an example of a scale invariant theory which does not possess conformal symmetry -- the special conformal transformation(SCT) explicitly breaks the gauge invariance of the theory. In…

High Energy Physics - Theory · Physics 2017-03-20 Kelly Yu-Ju Chiu , Stanley J. Brodsky

In this paper we recall the construction of scalar field action on $\kappa$-Minkowski space-time and investigate its properties. In particular we show how the co-product of $\kappa$-Poincar\'e algebra of symmetries arises from the analysis…

High Energy Physics - Theory · Physics 2009-11-10 M. Daszkiewicz , K. Imilkowska , J. Kowalski-Glikman , S. Nowak

We consider the Lie group $\mathbb{R}^D_\kappa$ generated by the Lie algebra of $\kappa$-Minkowski space. Imposing the invariance of the metric under the pull-back of diffeomorphisms induced by right translations in the group, we show that…

Mathematical Physics · Physics 2019-09-24 Danijel Jurman

This paper introduces and investigates a class of noncommutative spacetimes that I will call ``T-Minkowski,'' whose quantum Poincar\'e group of isometries exhibits unique and physically motivated characteristics. Notably, the coordinates on…

High Energy Physics - Theory · Physics 2025-01-15 Flavio Mercati
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