scholarly journals Derivation of gauge symmetries in supergravity with a cosmological constant in 2 + 1 dimensions

2020 ◽  
Vol 98 (8) ◽  
pp. 810-812
Author(s):  
D.G.C. McKeon
Keyword(s):  
Cosmological Constant ◽  
Equations Of Motion ◽  
Canonical Structure ◽  
Local Gauge ◽  
Gauge Algebra ◽  
Gauge Symmetries

The canonical structure of supergravity with a cosmological constant is analyzed in 2 + 1 dimensions using the Dirac constraint formalism. Using the approach of Henneaux, Teitelboim, and Zanelli, the first class constraints are used to find the local gauge symmetries of this model. Provided the cosmological constant is negative, this novel gauge algebra closes, without having to invoke the equations of motion or introducing auxiliary fields. There are two Bosonic and one Fermionic gauge symmetries.

scholarly journals Spontaneously Broken Gauge Symmetry in a Bose Gas with Constant Particle Number

2017 ◽  
Vol 16 (01) ◽  
pp. 1750009
Author(s):  
A. Schelle
Keyword(s):  
Gauge Symmetry ◽  
Particle Number ◽  
Present Model ◽  
Phase Distribution ◽  
Equations Of Motion ◽  
Einstein Condensation ◽  
Bose Einstein Condensation ◽  
Gauge Symmetries ◽  
Non Local ◽  
Bose Einstein

The interplay between spontaneously broken gauge symmetries and Bose–Einstein condensation has long been controversially discussed in science, since the equations of motion are invariant under phase transformations. Within the present model, it is illustrated that spontaneous symmetry breaking appears as a non-local process in position space, but within disjoint subspaces of the underlying Hilbert space. Numerical simulations show that it is the symmetry of the relative phase distribution between condensate and non-condensate quantum fields which is spontaneously broken when passing the critical temperature for Bose–Einstein condensation. Since the total number of gas particles remains constant over time, the global U(1)-gauge symmetry of the system is preserved.

scholarly journals CANONICAL APPROACH TO 2D SUPERSYMMETRIC WZNW MODEL COUPLED TO SUPERGRAVITY

2002 ◽  
Vol 17 (29) ◽  
pp. 1923-1936 ◽  
Author(s):  
OLIVERA MIŠKOVIĆ ◽  
BRANISLAV SAZDOVIĆ
Keyword(s):  
Energy Momentum Tensor ◽  
Momentum Tensor ◽  
Moody Algebra ◽  
Gauge Transformations ◽  
Local Gauge ◽  
Gauge Symmetries ◽  
Wznw Model ◽  
Canonical Approach ◽  
Explicit Expressions

Starting from the known representation of the Kac–Moody algebra in terms of the coordinates and momenta, we extend it to the representation of the super Kac–Moody and super Virasoro algebras. Then we use general canonical method to construct an action invariant under local gauge symmetries, where components of the super energy–momentum tensor L± and G± play the role of the diffeomorphisms and supersymmetry generators respectively. We obtain covariant extension of WZNW theory with respect to local supersymmetry as well as explicit expressions for gauge transformations.

scholarly journals Some Cosmological Solutions of a New Nonlocal Gravity Model

Symmetry ◽  
2020 ◽  
Vol 12 (6) ◽  
pp. 917
Author(s):  
Ivan Dimitrijevic ◽  
Branko Dragovich ◽  
Alexey S. Koshelev ◽  
Zoran Rakic ◽  
Jelena Stankovic
Keyword(s):  
General Relativity ◽  
Dark Energy ◽  
Analytic Function ◽  
Cosmological Constant ◽  
Explicit Form ◽  
Gravity Model ◽  
Necessary Conditions ◽  
Equations Of Motion ◽  
Nonlocal Operator ◽  
Cosmological Solutions

In this paper, we investigate a nonlocal modification of general relativity (GR) with action S = 1 16 π G ∫ [ R − 2 Λ + ( R − 4 Λ ) F ( □ ) ( R − 4 Λ ) ] − g d 4 x , where F ( □ ) = ∑ n = 1 + ∞ f n □ n is an analytic function of the d’Alembertian □. We found a few exact cosmological solutions of the corresponding equations of motion. There are two solutions which are valid only if Λ ≠ 0 , k = 0 , and they have no analogs in Einstein’s gravity with cosmological constant Λ . One of these two solutions is a ( t ) = A t e Λ 4 t 2 , that mimics properties similar to an interference between the radiation and the dark energy. Another solution is a nonsingular bounce one a ( t ) = A e Λ t 2 . For these two solutions, some cosmological aspects are discussed. We also found explicit form of the nonlocal operator F ( □ ) , which satisfies obtained necessary conditions.

scholarly journals COMMENTS ON REGULARIZATION AMBIGUITIES AND LOCAL GAUGE SYMMETRIES

2005 ◽  
Vol 20 (25) ◽  
pp. 1933-1938 ◽  
Author(s):  
R. CASANA ◽  
B. M. PIMENTEL
Keyword(s):  
Field Theory ◽  
Gauge Symmetry ◽  
Quantum Level ◽  
Local Gauge ◽  
Gauge Symmetries ◽  
Local Gauge Symmetry ◽  
Coupling Parameters

We study the regularization ambiguities in an exact renormalized (1 +1)-dimensional field theory. We show a relation between the regularization ambiguities and the coupling parameters of the theory as well as their role in the implementation of a local gauge symmetry at quantum level.

Noether gauge symmetries of geodesic motion in stationary and nonstatic Gödel-type spacetimes

2015 ◽  
Vol 38 ◽  
pp. 1560072 ◽  
Author(s):  
Ugur Camci
Keyword(s):  
Equations Of Motion ◽  
Complete Characterization ◽  
First Integrals ◽  
Geodesic Motion ◽  
Geodesic Equations ◽  
Gauge Symmetries ◽  
Geodesic Equations Of Motion

In this study, we obtain Noether gauge symmetries of geodesic motion for geodesic Lagrangian of stationary and nonstatic Gödel-type spacetimes, and find the first integrals of corresponding spacetimes to derive a complete characterization of the geodesic motion. Using the obtained expressions for [Formula: see text] of each spacetimes, we explicitly integrate the geodesic equations of motion for the corresponding stationary and nonstatic Gödel-type spacetimes.

REVISITING THE MODIFIED STAROBINSKY MODEL WITH A COSMOLOGICAL CONSTANT

2009 ◽  
Vol 18 (09) ◽  
pp. 1355-1366 ◽  
Author(s):  
ANA PELINSON
Keyword(s):  
Cosmological Constant ◽  
Equations Of Motion ◽  
Quantum Effects ◽  
Radiative Corrections ◽  
Susy Particle ◽  
Particle Content ◽  
Starobinsky Model ◽  
Last Stage ◽  
The Masses ◽  
Matter Fields

The Starobinsky model is a natural inflationary scenario in which inflation arises due to quantum effects of the massless matter fields. A modified version of the Starobinsky (MSt) model takes the masses of matter fields and the cosmological constant, Λ, into account. The equations of motion become much more complicated; however, approximate analytic and numeric solutions are possible. In the MSt model, inflation starts due to the supersymmetric (SUSY) particle content of the underlying theory, and the transition to the radiation-dominated epoch occurs due to the relatively heavy s-particles decoupling. For Λ = 0 the inflationary solution is stable until the last stage, just before decoupling. In the present paper we generalize this result for Λ ≠ 0, since Λ should be nonvanishing at the SUSY scale. We also take into account the radiative corrections to Λ. The main result is that the inflationary solution of the MSt model remains robust and stable.

Bifurcations with local gauge symmetries in the Ginzburg-Landau equations

1992 ◽  
Vol 56 (1) ◽  
pp. 36-56 ◽  
Author(s):  
Ernest Barany ◽  
Martin Golubitsky ◽  
Jacek Turski
Keyword(s):  
Ginzburg Landau ◽  
Local Gauge ◽  
Gauge Symmetries ◽  
Ginzburg Landau Equations

scholarly journals Symplectic embeddings, homotopy algebras and almost Poisson gauge symmetry

2021 ◽  
Author(s):  
Vladislav G Kupriyanov ◽  
Richard J Szabo
Keyword(s):  
Gauge Theories ◽  
Differential Forms ◽  
Poisson Manifold ◽  
New Approach ◽  
Gauge Sector ◽  
Gauge Transformations ◽  
Gauge Algebra ◽  
Gauge Symmetries ◽  
Noncommutative Gauge Theories ◽  
Differential Graded Poisson Algebras

Abstract We formulate general definitions of semi-classical gauge transformations for noncommutative gauge theories in general backgrounds of string theory, and give novel explicit constructions using techniques based on symplectic embeddings of almost Poisson structures. In the absence of fluxes the gauge symmetries close a Poisson gauge algebra and their action is governed by a $P_\infty$-algebra which we construct explicitly from the symplectic embedding. In curved backgrounds they close a field dependent gauge algebra governed by an $L_\infty$-algebra which is not a $P_\infty$-algebra. Our technique produces new all orders constructions which are significantly simpler compared to previous approaches, and we illustrate its applicability in several examples of interest in noncommutative field theory and gravity. We further show that our symplectic embeddings naturally define a $P_\infty$-structure on the exterior algebra of differential forms on a generic almost Poisson manifold, which generalizes earlier constructions of differential graded Poisson algebras, and suggests a new approach to defining noncommutative gauge theories beyond the gauge sector and the semi-classical limit based on $A_\infty$-algebras.

Sign in / Sign up

Export Citation Format

Share Document