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We study the gauge theories on noncommutative space. We employ the idea of the covariant position to understand the linear and angular momenta, the center of mass position, and to express all gauge invariant observables including the Wilson…

High Energy Physics - Theory · Physics 2014-11-18 Dongsu Bak , Kimyeong Lee , Jeong-Hyuck Park

We unveil a remarkable interplay between rigid field theories (RFTs), charge-to-mass ratios $\gamma$ and scalar curvature divergences $\mathsf{R}_{\rm div}$ in the vector multiplet moduli space of 4d ${\cal N}=2$ supergravities, obtained…

High Energy Physics - Theory · Physics 2025-02-05 Alberto Castellano , Fernando Marchesano , Luca Melotti , Lorenzo Paoloni

Based on the decomposition of U(1) gauge potential theory and the $\phi$-mapping topological current theory, the three-dimensional knot invariant and a four-dimensional new topological invariant are discussed in the U(1) gauge field.

High Energy Physics - Theory · Physics 2008-11-26 Yi-Shi Duan , Xin-Hui Zhang , Li Zhao

We construct a non-commutative kappa-Minkowski deformation of U(1) gauge theory, following a general approach, recently proposed in JHEP 2008 (2020) 041. We obtain an exact (all orders in the non-commutativity parameter) expression for both…

High Energy Physics - Theory · Physics 2021-01-21 V. G. Kupriyanov , M. Kurkov , P. Vitale

We construct a model for noncommutative gravity in four dimensions, which reduces to the Einstein-Hilbert action in the commutative limit. Our proposal is based on a gauge formulation of gravity with constraints. While the action is metric…

High Energy Physics - Theory · Physics 2017-08-23 Matteo A. Cardella , Daniela Zanon

In this paper, we present a theory for gravity coupled with scalar, SU$(n)$ and spinor fields on manifolds with null-boundary. We perform the symplectic reduction of the space of boundary fields and give the constraints of the theory in…

Mathematical Physics · Physics 2025-11-18 Alberto S. Cattaneo , Filippo Fila-Robattino , Valentino Huang , Manuel Tecchiolli

Common features of known quantum gravity theories may hint at the general nature of quantum gravity. The absence of continuous global symmetries is one such feature. This inspired the Weak Gravity Conjecture, which bounds masses of charged…

High Energy Physics - Theory · Physics 2016-11-15 Ben Heidenreich , Matthew Reece , Tom Rudelius

It is argued that quantum gravity has an interpretation as a topological field theory provided a certain constraint from the path intergral measure is respected. The constraint forces us to couple gauge and matter fields to gravity for…

High Energy Physics - Theory · Physics 2009-10-30 Andrew Toon

In the weak field limit general relativity reduces, as is well known, to the Newtonian gravitation. Alternative theories of gravity, however, do not necessarily reduce to Newtonian gravitation; some of them, for example, reduce to…

Astrophysics of Galaxies · Physics 2014-11-20 C. S. S. Brandao , J. C. N. de Araujo

We give the supergravity duals of commutative and noncommutative non-abelian gauge theories with N=2 in 2+1 dimensions. The moduli space on the Coulomb branch of these theories is studied using supergravity.

High Energy Physics - Theory · Physics 2009-11-07 Jan Brugues , Joaquim Gomis , Toni Mateos , Toni Ramirez

A pedagogical and self-contained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the Weyl-Wigner…

High Energy Physics - Theory · Physics 2009-09-25 Richard J. Szabo

The minimal Weak Gravity Conjecture (WGC) predicts the emergence of towers of superextremal states in both weak and strong coupling limits. In this work, we study M-theory compactified on a special class of Calabi-Yau threefolds to…

High Energy Physics - Theory · Physics 2025-10-28 Mohammed Charkaoui , Rajae Sammani , El Hassan Saidi , Rachid Ahl Laamara

Main objective of the present dissertation is the investigation for all the possible low energy models which emerge in four dimensions by the dimensional reduction of a gauge theory over multiple connected coset spaces. The higher…

High Energy Physics - Theory · Physics 2009-03-15 Theodoros Grammatikopoulos

We discuss the possible applications of string theory for the construction of generalizations of the $SU(3)\times SU(2)\times U(1)$ standard model of strong and electroweak interactions. This includes an investigation of effective $d=4$…

High Energy Physics - Phenomenology · Physics 2007-05-23 Hans Peter Nilles

We discuss the non-anticommutative (N=1/2) supersymmetric U(1) gauge theory in four dimensions, including a superpotential. We perform the one-loop renormalisation of the model, including the complete set of terms necessary for…

High Energy Physics - Theory · Physics 2009-04-17 I. Jack , D. R. T. Jones , R. Purdy

We have recently shown that a class of counterexamples to (weak) cosmic censorship in anti-de Sitter spacetime is removed if the weak gravity conjecture holds. Surprisingly, the minimum value of the charge to mass ratio necessary to…

High Energy Physics - Theory · Physics 2022-10-12 Gary T. Horowitz , Jorge E. Santos

Four-dimensional (4D) simplicial quantum gravity coupled to U(1) gauge fields has been studied using Monte-Carlo simulations. A negative string susceptibility exponent is observed beyond the phase-transition point, even if the number of…

High Energy Physics - Lattice · Physics 2009-10-31 H. S. Egawa , A. Fujitsu , S. Horata , N. Tsuda , T. Yukawa

We formulate a model of noncommutative four-dimensional gravity on a covariant fuzzy space based on SO(1,4), that is the fuzzy version of the $\text{dS}_4$. The latter requires the employment of a wider symmetry group, the SO(1,5), for…

High Energy Physics - Theory · Physics 2020-08-12 G. Manolakos , P. Manousselis , G. Zoupanos

We classify the allowed structures of the discrete 1-form gauge sector in six-dimensional supergravity theories realized as F-theory compactifications. This provides upper bounds on the 1-form gauge factors $\mathbb{Z}_m$ and in particular…

High Energy Physics - Theory · Physics 2022-12-23 Seung-Joo Lee , Paul-Konstantin Oehlmann

We consider discretized gravity in 4+2 dimensions compactified on a disk of constant negative curvature. The curvature of the disk avoids the presence of dangerous ultra-light scalar modes but comes also along with a high multiplicity of…

High Energy Physics - Theory · Physics 2009-01-31 Gerhart Seidl