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We generalise our previous formulation of gauge-invariant PT-symmetric field theories to include models with non-Abelian symmetries and discuss the extension to such models of the Englert-Brout-Higgs-Kibble mechanism for generating masses…

High Energy Physics - Theory · Physics 2020-02-10 Jean Alexandre , John Ellis , Peter Millington , Dries Seynaeve

Recently a new maximally supersymmetric, dyonically gauged supergravity in four-dimenions has been constructed. This theory admits several supersymmetric AdS solutions, and a Chern- Simons-matter dual theory has been proposed for a solution…

High Energy Physics - Theory · Physics 2018-08-29 Hyojoong Kim , Nakwoo Kim , Minwoo Suh

We show that the complex saddle points of the no-boundary wave function with a positive cosmological constant and a positive scalar potential have a representation in which the geometry consists of a regular Euclidean AdS domain wall that…

High Energy Physics - Theory · Physics 2015-06-03 Thomas Hertog , James Hartle

The N=4 gauged SU(2)$\times$SU(1,1) supergravity in four-dimensional Euclidean space is obtained via a consistent dimensional reduction of the N=1, D=10 supergravity on $S^3\times AdS_3$. The dilaton potential in the theory is proportional…

High Energy Physics - Theory · Physics 2015-06-26 Mikhail S. Volkov

Acting with non-Abelian T-duality on the $S^3$ inside the $AdS_5$ subspace of $AdS_5\times S^5$ with $N$ units of flux, we generate a new half-BPS solution with $SU(2|4)$ symmetry that belongs to the Lin-Lunin-Maldacena class of geometries.…

High Energy Physics - Theory · Physics 2017-09-26 Yolanda Lozano , Carlos Nunez , Salomon Zacarias

Configuration space of abelian gauge theory on a periodic lattice becomes topologically disconnected by excising exceptional gauge field configurations. It is possible to define a U(1) bundle from the nonexceptional link variables by a…

High Energy Physics - Lattice · Physics 2009-10-31 T. Fujiwara , H. Suzuki , K. Wu

The AdS/CFT correspondence has provided new and useful insights into the nonperturbative regime of strongly coupled gauge theories. We construct a class of models meant to mimic Yang-Mills theory using the superpotential method. This method…

High Energy Physics - Theory · Physics 2018-07-31 Sean P. Bartz , Aditya Dhumuntarao , Joseph I. Kapusta

In this contribution we revisit the lattice discretization of the topological charge for abelian lattice field theories. The construction departs from an initially non-compact discretization of the gauge fields and after absorbing $2\pi$…

High Energy Physics - Lattice · Physics 2019-12-30 M. Anosova , C. Gattringer , D. Göschl , T. Sulejmanpasic , P. Törek

We study the properties of the Newtonian gravitational potential in a spherical Universe for different topologies. For this, we use the non-Euclidean Newtonian theory developed in Vigneron [2022, Class. & Quantum Gravity, 39, 155006]…

Cosmology and Nongalactic Astrophysics · Physics 2023-04-04 Quentin Vigneron , Boudewijn F. Roukema

The Gauss law constraint in the Hamiltonian form of the $SU(2)$ gauge theory of gluons is satisfied by any functional of the gauge invariant tensor variable $\phi^{ij} = B^{ia} B^{ja}$. Arguments are given that the tensor $G_{ij} =…

High Energy Physics - Theory · Physics 2007-05-23 D. Z. Freedman , P. E. Haagensen , K. Johnson , J. I. Latorre

A non-abelian ``self-dual'' massive gauge theory describing a massive spin one physical mode is presented. The action is expressed in terms of two independent connections on a principle bundle over $2+1$ space-time. The kinetic terms are…

High Energy Physics - Theory · Physics 2014-11-18 P. J. Ariasa , L. Leal , A. Restuccia

Motivated by recent literature on the possible existence of a second higher-temperature phase transition in Quantum Chromodynamics, we revisit the proposal that colour confinement is related to the dynamics of magnetic monopoles using…

High Energy Physics - Lattice · Physics 2025-02-03 Xavier Crean , Jeffrey Giansiracusa , Biagio Lucini

We study Euclidean Romans supergravity in six dimensions with a non-trivial Abelian R-symmetry gauge field. We show that supersymmetric solutions are in one-to-one correspondence with solutions to a set of differential constraints on an…

High Energy Physics - Theory · Physics 2016-10-19 Luis F. Alday , Martin Fluder , Carolina M. Gregory , Paul Richmond , James Sparks

Maximal Abelian gauge fixing and subsequent Abelian projection of SU(2) lattice gauge theory defines closed trajectories of magnetic monopoles. These trajectories can be interpreted in terms of an effective scalar field theory of the MAG…

High Energy Physics - Lattice · Physics 2016-09-01 Kurt Langfeld , Hugo Reinhardt

The generalized symmetric space sine-Gordon theories are a series of 1+1-integrable field theories that are classically equivalent to superstrings on symmetric space spacetimes F/G. They are formulated in terms of a semi-symmetric space as…

High Energy Physics - Theory · Physics 2011-06-07 Timothy J. Hollowood , J. Luis Miramontes

We provide complete and self-contained formulas about localization of massless/massive Abelian gauge fields on topological solitons in generic $D$ dimensions via a field dependent gauge kinetic term. The localization takes place when a…

High Energy Physics - Theory · Physics 2020-01-08 Minoru Eto , Masaki Kawaguchi

In this note, we define a holographic dual to four-dimensional superconformal field theories formulated on arbitrary Riemannian manifolds equipped with a Killing vector. Moreover, assuming smoothness of the bulk solution, we study the…

High Energy Physics - Theory · Physics 2019-11-04 Pietro Benetti Genolini , Paul Richmond

(Anti)self-dual solutions of the scale invariant SU(2) gauged Grassmanian model are sought. A stronger (anti)selfduality condition for this system is defined, referred to as strong self-duality, and spherically symmetric solutions of this…

High Energy Physics - Theory · Physics 2010-11-19 A. Chakrabarti , D. H. Tchrakian

The dual superconductor picture of the QCD vacuum is thought to describe various aspects of the strong interaction including confinement. Ordinary superconductivity is described by the Ginzburg-Landau (GL) equation. In the present work we…

High Energy Physics - Theory · Physics 2009-11-07 Vladimir Dzhunushaliev , Douglas Singleton

A new technique is proposed to classify a topological field in abelian lattice gauge theories. We perform the classification by regarding the topological field as a local composite field of the gauge field tensor instead of the vector…

High Energy Physics - Lattice · Physics 2007-05-23 Daisuke Kadoh , Yoshio Kikukawa