KALUZA-KLEIN THEORY

1986 ◽  
Vol 01 (01) ◽  
pp. 1-37 ◽  
Author(s):  
J. STRATHDEE
Keyword(s):  
Internal Space ◽  
Coset Space ◽  
Spontaneous Compactification ◽  
Zero Modes ◽  
Coset Spaces ◽  
Klein Theory ◽  
Recent Developments ◽  
Ground State Geometry ◽  
Energy Physics ◽  
Kaluza Klein

Recent developments in Kaluza-Klein theory are reviewed. Starting with the concept of spontaneous compactification, the problem of determining the ground state geometry and its symmetry is discussed. While it is generally believed that only the zero modes can be relevant for low energy physics, it is possible in some cases to deduce the entire excitation spectrum. This is true when the internal space is a coset space. A technique is described for setting up harmonic expansions on coset spaces. Consistency in chiral Kaluza-Klein theories demands freedom from both gauge and gravitational anomalies. General features of the chiral anomalies are reviewed.

Kaluza-klein theory over coset spaces

1983 ◽  
Vol 127 (6) ◽  
pp. 415-418 ◽  
Author(s):  
Moustafa A. Awada
Keyword(s):  
Coset Spaces ◽  
Klein Theory ◽  
Kaluza Klein

MASSLESS SCALAR FIELDS IN NON-ABELIAN KALUZA-KLEIN THEORY

1994 ◽  
Vol 09 (04) ◽  
pp. 507-515 ◽  
Author(s):  
M. ARIK ◽  
V. GABAY
Keyword(s):  
Cosmological Constant ◽  
Direct Product ◽  
Scalar Fields ◽  
Gauge Fields ◽  
Internal Space ◽  
Massless Scalar ◽  
Klein Theory ◽  
Euler Form ◽  
Odd Dimensions ◽  
Kaluza Klein

We investigate the presence of massless scalar fields in a Kaluza—Klein theory based on a dimensionally continued Euler-form action. We show that massless scalar fields exist provided that the internal space is a direct product of two irreducible manifolds. The condition of a vanishing effective four-dimensional cosmological constant and the presence of a graviton, gauge fields and massless scalar fields can be satisfied if both irreducible manifolds have odd dimensions and the sum of these dimensions is equal to the dimension of the Euler form.

scholarly journals A DISCRETIZED VERSION OF KALUZA–KLEIN THEORY WITH TORSION AND MASSIVE FIELDS

1996 ◽  
Vol 11 (13) ◽  
pp. 2403-2418 ◽  
Author(s):  
NGUYEN AI VIET ◽  
KAMESHWAR C. WALI
Keyword(s):  
Noncommutative Geometry ◽  
Vector Fields ◽  
Complex Structure ◽  
Scalar Fields ◽  
Type Model ◽  
Internal Space ◽  
Tensor Fields ◽  
Fifth Dimension ◽  
Klein Theory ◽  
Kaluza Klein

We consider an internal space of two discrete points in the fifth dimension of the Kaluza–Klein theory by using the formalism of noncommutative geometry — developed in a previous paper1 — of a spacetime supplemented by two discrete points. With the non-vanishing internal torsion two-form there are no constraints implied on the vielbeins. The theory contains a pair of tensor fields, a pair of vector fields and a pair of scalar fields. Using the generalized Cartan structure equation we are able to uniquely determine not only the Hermitian and metric-compatible connection one-forms, but also the nonvanishing internal torsion two-form in terms of vielbeins. The resulting action has a rich and complex structure, a particular feature being the existence of massive modes. Thus the nonvanishing internal torsion generates a Kaluza–Klein type model with zero and massive modes.

Weak angle from Kaluza-Klein theory with deformed internal space

1986 ◽  
Vol 178 (4) ◽  
pp. 373-378 ◽  
Author(s):  
B.L. Hu ◽  
T.C. Shen
Keyword(s):  
Internal Space ◽  
Klein Theory ◽  
Kaluza Klein

A NONCOMMUTATIVE EXTENSION OF GRAVITY

1994 ◽  
Vol 03 (01) ◽  
pp. 221-224 ◽  
Author(s):  
J. MADORE ◽  
J. MOURAD
Keyword(s):  
Tensor Product ◽  
Noncommutative Geometry ◽  
Commutative Algebra ◽  
Internal Space ◽  
Complex Matrices ◽  
Noncommutative Algebra ◽  
Algebra Of Functions ◽  
Klein Theory ◽  
Hilbert Action ◽  
Kaluza Klein

The commutative algebra of functions on a manifold is extended to a noncommutative algebra by considering its tensor product with the algebra of n×n complex matrices. Noncommutative geometry is used to formulate an extension of the Einstein-Hilbert action. The result is shown to be equivalent to the usual Kaluza-Klein theory with the manifold SUn as an internal space, in a truncated approximation.

SPONTANEOUS COMPACTIFICATION TO NONSYMMETRIC COSET SPACES

1987 ◽  
Vol 02 (01) ◽  
pp. 57-61 ◽  
Author(s):  
P. BÁNTAY
Keyword(s):  
Space Time ◽  
Coset Space ◽  
Spontaneous Compactification ◽  
Yang Mills ◽  
Coset Spaces

We investigate the conditions under which a 4+d-dimensional Einstein-Yang-Mills system has spontaneously compactifying solutions with space-time M4×G/H, where G/H is a d-dimensional nonsymmetric coset space.

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
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