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.

scholarly journals Monopole in the Dilatonic Gauge Field Theory

2000 ◽  
Vol 53 (5) ◽  
pp. 653
Author(s):  
D. Karczewska ◽  
R. Manka
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Extra Dimensions ◽  
Numerical Study ◽  
Large Extra Dimensions ◽  
Gauge Field Theory ◽  
Spherically Symmetric ◽  
Dilaton Field ◽  
Klein Theory ◽  
Kaluza Klein

A numerical study of static, spherically symmetric monopole solutions coupled to the dilaton field, inspired by the Kaluza–Klein theory with large extra dimensions is presented. The generalised Prasad?Sommerfield solution is obtained. We show that the monopole may also have the dilaton cloud configurations.

scholarly journals Fibre-base duality of 5d KK theories

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Andreas P. Braun ◽  
Jin Chen ◽  
Babak Haghighat ◽  
Marcus Sperling ◽  
Shuhang Yang
Keyword(s):  
Field Theory ◽  
Field Theories ◽  
Quantum Field ◽  
Explicit Dependence ◽  
Superconformal Field Theories ◽  
Study Circle ◽  
Rank 2 ◽  
M Theory ◽  
Kaluza Klein ◽  
Theory Interpretation

Abstract We study circle compactifications of 6d superconformal field theories giving rise to 5d rank 1 and rank 2 Kaluza-Klein theories. We realise the resulting theories as M-theory compactifications on local Calabi-Yau 3-folds and match the prepotentials from geometry and field theory. One novelty in our approach is that we include explicit dependence on bare gauge couplings and mass parameters in the description which in turn leads to an accurate parametrisation of the prepotential including all parameters of the field theory. We find that the resulting geometries admit “fibre-base” duality which relates their six-dimensional origin with the purely five-dimensional quantum field theory interpretation. The fibre-base duality is realised simply by swapping base and fibre curves of compact surfaces in the local Calabi-Yau which can be viewed as the total space of the anti-canonical bundle over such surfaces. Our results show that such swappings precisely occur for surfaces with a zero self-intersection of the base curve and result in an exchange of the 6d and 5d pictures.

MONOPOLES ARE NOT AN INEVITABLE CONSEQUENCE OF THE GRAND UNIFICATION

1988 ◽  
Vol 03 (14) ◽  
pp. 1379-1384
Author(s):  
N.V. KRASNIKOV
Keyword(s):  
Field Theory ◽  
Gauge Field ◽  
Special Kind ◽  
Unified Model ◽  
Grand Unification ◽  
Gauge Field Theory ◽  
Pure Gauge ◽  
Kaluza Klein

We give an example of the grand unified model without monopoles which arises in Kaluza-Klein compactification of a pure gauge field theory of the special kind.

scholarly journals Unification of the Maxwell-Einstein-Dirac Correspondence

2019 ◽  
Author(s):  
Wim Vegt
Keyword(s):  
Field Theory ◽  
General Relativity ◽  
String Theory ◽  
Dimensional Space ◽  
Space Time ◽  
Unified Field ◽  
S Matrix ◽  
Klein Theory ◽  
Dimensional Space Time ◽  
Kaluza Klein

Albert Einstein, Lorentz and Minkowski published in 1905 the Theory of Special Relativity and Einstein published in 1915 his field theory of general relativity based on a curved 4-dimensional space-time continuum to integrate the gravitational field and the electromagnetic field in one unified field. Since then the method of Einstein’s unifying field theory has been developed by many others in more than 4 dimensions resulting finally in the well-known 10-dimensional and 11-dimensional “string theory”. String theory is an outgrowth of S-matrix theory, a research program begun by Werner Heisenberg in 1943 (following John Archibald Wheeler‘s(3) 1937 introduction of the S-matrix), picked up and advocated by many prominent theorists starting in the late 1950’s.Theodor Franz Eduard Kaluza (1885-1954), was a German mathematician and physicist well-known for the Kaluza–Klein theory involving field equations in curved five-dimensional space. His idea that fundamental forces can be unified by introducing additional dimensions re-emerged much later in the “String Theory”.The original Kaluza-Klein theory was one of the first attempts to create an unified field theory i.e. the theory, which would unify all the forces under one fundamental law. It was published in 1921 by Theodor Kaluza and extended in 1926 by Oskar Klein. The basic idea of this theory was to postulate one extra compactified space dimension and introduce nothing but pure gravity in a new (1 + 4)-dimensional space-time. Klein suggested that the fifth dimension would be rolled up into a tiny, compact loop on the order of 10-35 [m]The presented "New Unification Theory" unifies Classical Electrodynamics with General Relativity and Quantum Physics

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