Geometric symmetry breaking and cosmological potential in Kaluza-Klein theory

1993 ◽  
Vol 47 (8) ◽  
pp. 3465-3473 ◽  
Author(s):  
Y. M. Cho ◽  
J. H. Yoon
Keyword(s):  
Symmetry Breaking ◽  
Geometric Symmetry ◽  
Klein Theory ◽  
Kaluza Klein

scholarly journals GAUGE THEORIES AS A GEOMETRICAL ISSUE OF A KALUZA–KLEIN FRAMEWORK

2005 ◽  
Vol 14 (07) ◽  
pp. 1195-1231 ◽  
Author(s):  
FRANCESCO CIANFRANI ◽  
ANDREA MARROCCO ◽  
GIOVANNI MONTANI
Keyword(s):  
Gauge Theory ◽  
Scalar Field ◽  
Symmetry Breaking ◽  
Gauge Theories ◽  
Dimensional Manifold ◽  
Unification Theory ◽  
Klein Theory ◽  
Electroweak Model ◽  
Quark Generation ◽  
Kaluza Klein

We present a geometrical unification theory in a Kaluza–Klein approach that achieve the geometrization of a generic gauge theory bosonic component. We show how it is possible to derive gauge charge conservation from the invariance of the model under extra-dimensional translations and to geometrize gauge connections for spinors, in order to make possible to introducing matter just through free spinorial fields. Then we present the applications to (i) a pentadimensional manifold V4 ⊗ S1 so reproducing the original Kaluza–Klein theory with some extensions related to the rule of the scalar field contained in the metric and to the introduction of matter through spinors with a phase dependance from the fifth coordinate, (ii) a seven-dimensional manifold V4 ⊗ S1 ⊗ S2, in which we geometrize the electroweak model by introducing two spinors for every leptonic family and quark generation and a scalar field with two components with opposite hypercharge responsible for spontaneous symmetry breaking.

scholarly journals Fermion fields in the (non)symmetric Kaluza–Klein theory

2018 ◽  
Vol 96 (5) ◽  
pp. 529-554 ◽  
Author(s):  
M.W. Kalinowski
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Higher Dimensions ◽  
Higgs Mechanism ◽  
Fermion Fields ◽  
Klein Theory ◽  
Spin Fields ◽  
Mass Terms ◽  
Bosonic Part ◽  
Kaluza Klein

The paper is devoted to the unification of fermions within nonsymmetric Kaluza–Klein theories. We obtain a Lagrangian for fermions in non-Abelian Kaluza–Klein theory and non-Abelian Kaluza–Klein theory with spontaneous symmetry breaking and Higgs’ mechanism. A Lagrangian for fermions for geometrized bosonic part of GSW (Glashow–Salam–Weinberg) model in our approach has been derived. Yukawa-type terms and mass terms coming from higher dimensions have been obtained. In the paper, 1/2-spin fields and 3/2-spin fields are considered.

scholarly journals The geometry, branes and applications of exceptional field theory

2020 ◽  
Vol 35 (30) ◽  
pp. 2030014
Author(s):  
David S. Berman ◽  
Chris Blair
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Degrees Of Freedom ◽  
Lie Symmetries ◽  
Geometric Symmetry ◽  
Klein Theory ◽  
M Theory ◽  
Kaluza Klein ◽  
Riemannian Spaces

This is a review of exceptional field theory: a generalisation of Kaluza–Klein theory that unifies the metric and [Formula: see text]-form gauge field degrees of freedom of supergravity into a generalised or extended geometry, whose additional coordinates may be viewed as conjugate to brane winding modes. This unifies the maximal supergravities, treating their previously hidden exceptional Lie symmetries as a fundamental geometric symmetry. Duality orbits of solutions simplify into single objects, that in many cases have simple geometric interpretations, for instance as wave or monopole-type solutions. It also provides a route to explore exotic or nongeometric aspects of M-theory, such as exotic branes, [Formula: see text]-folds, and more novel sorts of non-Riemannian spaces.

Supersymmetry: Kaluza-Klein theory, anomalies, and superstrings

1985 ◽  
Vol 146 (8) ◽  
pp. 655 ◽  
Author(s):  
I.Ya. Aref'eva ◽  
I.V. Volovich
Keyword(s):  
Klein Theory ◽  
Kaluza Klein

Euler-Poincaré lagrangians and Kaluza-Klein theory

1987 ◽  
Vol 189 (1-2) ◽  
pp. 96-98 ◽  
Author(s):  
M. Arik ◽  
T. Dereli
Keyword(s):  
Klein Theory ◽  
Kaluza Klein

PHYSICAL ASPECTS OF SOLITONS IN (4+1) GRAVITY

1995 ◽  
Vol 04 (05) ◽  
pp. 639-659 ◽  
Author(s):  
ANDREW BILLYARD ◽  
PAUL S. WESSON ◽  
DIMITRI KALLIGAS
Keyword(s):  
Physical Properties ◽  
Extra Dimension ◽  
Dimensional Case ◽  
Schwarzschild Solution ◽  
Circular Orbits ◽  
Know How ◽  
Fifth Dimension ◽  
Klein Theory ◽  
Limiting Case ◽  
Kaluza Klein

The augmentation of general relativity’s spacetime by one or more dimensions is described by Kaluza-Klein theory and is within testable limits. Should an extra dimension be observable and significant, it would be beneficial to know how physical properties would differ from “conventional” relativity. In examining the class of five-dimensional solutions analogous to the four-dimensional Schwarzschild solution, we examine where the origin to the system is located and note that it can differ from the four-dimensional case. Furthermore, we study circular orbits and find that the 5D case is much richer; photons can have stable circular orbits in some instances, and stable orbits can exist right to the new origin in others. Finally, we derive both gravitational and inertial masses and find that they do not generally agree, although they can in a limiting case. For all three examinations, it is possible to obtain the four-dimensional results in one limiting case, that of the Schwarzschild solution plus a flat fifth dimension, and that the differences between 4D and 5D occur when the fifth dimension obtains any sort of significance.

scholarly journals PHOTOPRODUCTION OF DILATONS IN AN EXTERNAL MAGNETIC FIELD

2000 ◽  
Vol 15 (01) ◽  
pp. 23-28 ◽  
Author(s):  
DANG VAN SOA ◽  
HOANG NGOC LONG
Keyword(s):  
Magnetic Field ◽  
External Magnetic Field ◽  
Cross Sections ◽  
Differential Cross ◽  
Numerical Evaluation ◽  
Static Magnetic Fields ◽  
Five Dimensions ◽  
High Energies ◽  
Klein Theory ◽  
Kaluza Klein

An attempt is made to present some experimental predictions of the five dimensions Kaluza–Klein theory. The conversion of photons into dilatons in the static magnetic fields are considered in detail. The differential cross-sections are presented for the conversions in a magnetic field of the flat condensor and a magnetic field of the solenoid. A numerical evaluation shows that in the present technical scenario, the creation of dilatons at high energies may have the observable value.

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