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We present an interacting spin-2 gauge theory coupled to the two-dimensional dilaton-gravity in flat spacetime. The asymptotic symmetry group is enhanced to the central extension of Diff$(S^1)\ltimes C^\infty(S^1)\ltimes$Vec($S^1$) when the…

High Energy Physics - Theory · Physics 2021-08-04 Hamid Afshar , Erfan Esmaeili , Hamid Safari

Considering bilayer systems as extensions of the planar ones by an internal space of two discrete points, we use the ideas of Noncommutative Geometry to construct the gauge theories for these systems. After integrating over the discrete…

High Energy Physics - Theory · Physics 2009-10-28 Varghese John , Nguyen Ai Viet , Kameshwar C. Wali

Topological gravity (in the sense that it is metric-independent) in a $2n$-dimensional spacetime can be formulated as a gauge field theory for the AdS gauge group $SO(2,2n-1)$ by adding a multiplet of scalar fields. These scalars can break…

High Energy Physics - Theory · Physics 2023-08-11 Marija Dimitrijević Ćirić , Dušan Đorđević , Dragoljub Gočanin , Biljana Nikolić , Voja Radovanović

We present a manifestly Lorentz invariant and supersymmetric component field action for $D = 10$, type $IIB$ supergravity, using a newly developed method for the construction of actions with chiral bosons, which implies only a single scalar…

High Energy Physics - Theory · Physics 2016-09-06 Gianguido Dall'Agata , Kurt Lechner , Mario Tonin

We consider a gauge theory action for continuous spin particles formulated in a spacetime enlarged by an extra coordinate recently proposed by Schuster and Toro. It requires one scalar gauge field and has two local symmetries. We show that…

High Energy Physics - Theory · Physics 2016-07-06 Victor O. Rivelles

We construct invertible field theories generalizing abelian prequantum spin Chern-Simons theory to manifolds of dimension 4k+3 endowed with a Wu structure of degree 2k+2. After analysing the anomalies of a certain discrete symmetry, we…

Mathematical Physics · Physics 2018-08-13 Samuel Monnier

Based on the Ginsparg-Wilson relation, a gauge invariant formulation of electroweak SU(2)xU(1) gauge theory on the lattice is considered. If the hypercharge gauge coupling is turned off in the vacuum sector of the U(1) gauge fields, the…

High Energy Physics - Lattice · Physics 2007-05-23 Yoshio Kikukawa , Yoichi Nakayama , Hiroshi Suzuki

Schemes based on anticommuting scalar coordinates, corresponding to properties, lead to generations of particles naturally. The application of Grassmannian duality cuts down the number of states substantially and is vital for constructing…

High Energy Physics - Theory · Physics 2016-10-12 Robert Delbourgo

In this work, we study a gauge invariant local non-polynomial composite spinor field in the fundamental representation in order to establish its renormalizability. Similar studies were already done in the case of pure Yang-Mills theories…

High Energy Physics - Theory · Physics 2021-07-27 M. A. L. Capri , S. P. Sorella , R. C. Terin

The Hamiltonian formulation of the Holst action in presence of a massless fermion field with a non-minimal Lagrangian is performed without any restriction on the local Lorentz frame. It is outlined that the phase space structure does not…

General Relativity and Quantum Cosmology · Physics 2010-04-06 F. Cianfrani , G. Montani

The local covariant continuum action of an SU(2) gauge theory in covariant Abelian gauges is investigated. It describes the critical limit of an Abelian Lattice Gauge Theory (LGT) with an equivariant BRST-symmetry. This Abelian LGT has…

High Energy Physics - Theory · Physics 2007-05-23 Martin Schaden

A way of covariantizing duality symmetric actions is proposed. As examples considered are a manifestly space-time invariant duality--symmetric action for abelian gauge fields coupled to axion-dilaton fields and gravity in D=4, and a…

High Energy Physics - Theory · Physics 2007-05-23 Paolo Pasti , Dmitrij Sorokin , Mario Tonin

We use a geometric generalization of the Seiberg-Witten map between noncommutative and commutative gauge theories to find the expansion of noncommutative Chern-Simons (CS) theory in any odd dimension $D$ and at first order in the…

High Energy Physics - Theory · Physics 2015-06-22 Paolo Aschieri , Leonardo Castellani

Dimensional reduction of maximal supergravity to two dimensions leads to an infinite-dimensional (non-local) symmetry group W x E_9 which has a simpler action when the bosonic fields are dualised to an infinite tower of dual potentials. We…

High Energy Physics - Theory · Physics 2007-05-23 Louis Paulot

We introduce a numerical method, based on finite elements and lattice gauge theory, to compute approximate solutions to Schr\"odinger and Pauli equations. The crucial geometric property of the method is discrete gauge invariance. The main…

Numerical Analysis · Mathematics 2015-06-01 Snorre Harald Christiansen , Tore Gunnar Halvorsen

We consider an arbitrary U(1) charged matter non-minimally coupled to the self-dual field in $d=2+1$. The coupling includes a linear and a rather general quadratic term in the self-dual field. By using both a Lagragian gauge embedding and a…

High Energy Physics - Theory · Physics 2008-11-26 D. Dalmazi

A classification of the possible symmetric principal bundles with a compact gauge group, a compact symmetry group and a base manifold which is regularly foliated by the orbits of the symmetry group is derived. A generalization of Wang's…

General Relativity and Quantum Cosmology · Physics 2011-04-15 Othmar Brodbeck

We demonstrate that pure space-like axial gauge quantizations of gauge fields can be constructed in ways which are free from infrared divergences. We begin by constructing an axial gauge formulation in auxiliary coordinates:…

High Energy Physics - Theory · Physics 2009-10-31 Y. Nakawaki , G. McCartor

T-Duality invariant worldsheet string actions, recently written down by Schwarz and Sen, are coupled to the worldsheet gauge fields. It is shown that the integration of the dual coordinates gives the conventional, vector, axial and chiral,…

High Energy Physics - Theory · Physics 2009-10-22 Alok Kumar

Gauging a discrete 0-form symmetry of a QFT is a procedure that changes the global form of the gauge group but not its perturbative dynamics. In this work, we study the Seiberg-Witten solution of theories resulting from the gauging of…

High Energy Physics - Theory · Physics 2024-07-09 Guillermo Arias-Tamargo , Mario De Marco
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