Dimensional reduction of invariant linear connections and tensor fields on multidimensional space‐time

A large class of new 4D superstring vacua with nontrivial/singular geometries, space–time supersymmetry and other background fields (axion, dilaton) are found. Killing symmetries are generic and are associated with nontrivial dilaton and antisymmetric tensor fields. Duality symmetries preserving N = 2 superconformal invariance are employed to generate a large class of explicit metrics for noncompact 4D Calabi–Yau manifolds with Killing symmetries. We comment on some of our solutions which have interesting singularity properties and cosmological interpretation.

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FIVE-DIMENSIONAL KALUZA–KLEIN THEORY WITH A SOURCE

International Journal of Modern Physics A ◽

10.1142/s0217751x04019640 ◽

2004 ◽

Vol 19 (29) ◽

pp. 5043-5050 ◽

Cited By ~ 4

Author(s):

YONGGE MA ◽

JUN WU

Keyword(s):

Electromagnetic Field ◽

Test Particle ◽

Dimensional Reduction ◽

Dimensional Space ◽

Space Time ◽

Fifth Dimension ◽

Klein Theory ◽

Dimensional Space Time ◽

Kaluza Klein

A free test particle in five-dimensional Kaluza–Klein space–time will show its electricity in the reduced four-dimensional space–time when it moves along the fifth dimension. In the light of this observation, we study the coupling of a five-dimensional dust field with the Kaluza–Klein gravity. It turns out that the dust field can curve the five-dimensional space–time in such a way that it provides exactly the source of the electromagnetic field in the four-dimensional space–time after the dimensional reduction.

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Improving ADC figure-of-merit in wideband antenna array receivers using multidimensional space-time delta-sigma multiport circuits

2017 10th International Workshop on Multidimensional (nD) Systems (nDS) ◽

10.1109/nds.2017.8070633 ◽

2017 ◽

Cited By ~ 6

Author(s):

Arjuna Madanayake ◽

Najath Akram ◽

Soumyajit Mandal ◽

Jifu Liang ◽

Leonid Belostotski

Keyword(s):

Antenna Array ◽

Figure Of Merit ◽

Space Time ◽

Multidimensional Space ◽

Wideband Antenna ◽

Delta Sigma

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A NEW APPROACH FOR SPACE-TIME-MATTER THEORY

International Journal of Geometric Methods in Modern Physics ◽

10.1142/s0219887813500047 ◽

2013 ◽

Vol 10 (04) ◽

pp. 1350004 ◽

Cited By ~ 1

Author(s):

AUREL BEJANCU

Keyword(s):

Tensor Field ◽

Differential Operators ◽

Space Time ◽

Horizontal Gradient ◽

Tensor Fields ◽

Tensor Calculus ◽

New Approach ◽

Horizontal Connection ◽

Klein Theory ◽

Kaluza Klein

This is the first paper in a series of three papers on a new approach for space-time-matter (STM) theory. The main purpose of this approach is to replace the Levi-Civita connection on the space-time from the classical Kaluza–Klein theory by what we call the Riemannian horizontal connection on the general Kaluza–Klein space. This is done by a development of a 4D tensor calculus whose geometrical objects live in a 5D space. The 4D tensor calculus and the Riemannian horizontal connection enable us to define in a 5D space some 4D differential operators: horizontal differential, horizontal gradient, horizontal divergence and horizontal Laplacian, which have a great role in the presentation of the STM theory in a covariant form. Finally, we introduce and study the horizontal electromagnetic tensor field, the horizontal Ricci tensor and the horizontal Einstein gravitational tensor field, which replace the well-known tensor fields from the classical Kaluza–Klein theory.

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Construction of Real Space{Time from Complex Linear Metric Connections

Australian Journal of Physics ◽

10.1071/p96100 ◽

1997 ◽

Vol 50 (4) ◽

pp. 793

Author(s):

P. K. Smrz

Keyword(s):

Complex Manifold ◽

Real Space ◽

Space Time ◽

Cartan Geometry ◽

Four Dimensions ◽

Linear Connections ◽

Real Submanifold ◽

Complex Linear ◽

Case Based ◽

Construction Works

A construction of real space-time based on metric linear connections in a complex manifold is described. The construction works only in two or four dimensions. The four-dimensional case based on a connection reducible to group U(2, 2) can generate Riemann-Cartan geometry on the real submanifold of the original complex manifold. The possibility of connecting the appearance of Dirac fields with anholonomic complex frames is discussed.

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