We investigate the Kaluza-Klein reductions to ten dimensions of the purely gravitational half-BPS M-theory backgrounds: the M-wave and the Kaluza-Klein monopole. We determine the moduli space of smooth (supersymmetric) Kaluza-Klein reductions by classifying the freely-acting spacelike Killing vectors which preserve som…
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48 results for “Kaluza-Klein reduction”
A new geometrical approach simplifies string effective actions.
problem Simplifying equations of motion in low-energy string effective actions.
method Generalized geometry and Levi-Civita connections on Courant algebroids.
result A suitable version of the Kaluza-Klein-like reduction is proposed and proven.
Study classifies metrics on anti-de Sitter spacetime with specific symmetries.
problem Classifying metrics with specific symmetries on anti-de Sitter spacetime.
method Used classification techniques for pseudo-Riemannian and almost contact metric structures.
result Obtained classifications of homogeneous structures on anti-de Sitter spacetime.
This study explores Kaluza-Klein reductions of new maximally supersymmetric backgrounds.
problem Exploring new maximally supersymmetric backgrounds in five dimensions.
method Classifying Kaluza-Klein reductions to four dimensions and determining preserved supersymmetry.
result Discovery of novel non-homogeneous four-dimensional Lorentzian spacetimes with supersymmetry.
Many features of dimensional reduction schemes are determined by the breaking of higher dimensional general covariance associated with the selection of a particular subset of coordinates. By investigating residual covariance we introduce lower dimensional tensors --generalizing to one side Kaluza-Klein gauge fields and…
Global Double Field Theory is a higher-dimensional generalization of Kaluza-Klein theory.
problem Formulating a global theory for higher-dimensional gauge fields.
method Generalizing Kaluza-Klein theory to higher principal bundles and higher gauge fields.
result Higher Kaluza-Klein geometry provides a global formulation for Double Field Theory.
Develops a Kaluza-Klein theory in affine spaces without metric.
problem Formalizes a geometric theory of electromagnetic fields in affine spaces.
method Formulates dimensional reduction using principal fiber bundles and Ehresmann connections.
result Shows that non-integrability of horizontal distribution implies nontrivial electromagnetic fields.
Future stability of a specific type of Kaluza-Klein spacetime is proven.
problem Stability of a particular class of Kaluza-Klein vacua.
method Einstein flow on a product manifold, Kaluza-Klein reduction, wave map type and Maxwell type equations, slice-adapted gauge.
result Future stability of the Milne universe within the class of spacetimes.
New black hole solutions with lens space horizons in 5D Kaluza-Klein theory.
problem Finding black hole solutions with specific horizon topologies.
method Formally asymptotically flat black hole solutions constructed through Kaluza-Klein reduction.
result Explicit construction of regular black hole solutions with horizons.
Defines and examines morphisms of Courant algebroids with applications in physics.
problem The need for a more general notion of morphisms in Courant algebroids.
method Provides a detailed treatment of Courant algebroid relations and morphisms, emphasizing motivating examples.
result Shows how Poisson-Lie T-duality and Kaluza-Klein reduction can be interpreted as Courant algebroid relations compatible with generalized metrics.
This paper contains a classification of smooth Kaluza--Klein reductions (by one-parameter subgroups) of the maximally supersymmetric anti de Sitter backgrounds of supergravity theories. We present a classification of one-parameter subgroups of isometries of anti de Sitter spaces, discuss the causal properties of their …
We classify and construct all the smooth Kaluza-Klein reductions to ten dimensions of the M2- and M5-brane configurations which preserve some of the supersymmetry. In this way we obtain a wealth of new supersymmetric IIA backgrounds describing composite configurations of D-branes, NS-branes and flux/nullbranes; bound s…
This thesis proposes a global geometric formulation of Extended Field Theories.
problem Global understanding of Extended Field Theories remains an open problem.
method Introducing an atlas for the principal infinity-bundle, unifying metric and higher gauge field.
result Global abelian T-duality and Poisson-Lie T-duality are automatically recovered.
We classify generalised supersymmetric fluxbranes in type II string theory obtained as Kaluza-Klein reductions of the Minkowski space vacuum of eleven-dimensional supergravity. We obtain two families of smooth solutions which contains all the known solutions, new solutions called nullbranes, and solutions interpolating…
The Lagrangian and Hamiltonian structures for an ideal gauge-charged fluid are determined. Using a Kaluza-Klein point of view, the equations of motion are obtained by Lagrangian and Poisson reductions associated to the automorphism group of a principal bundle. As a consequence of the Lagrangian approach, a Kelvin-Noeth…
The paper extends Hawking--Page solutions to various spacetimes with singularities.
problem Understanding the extensions of Hawking--Page solutions with different types of singularities.
method Kaluza--Klein reduction and Christodoulou's methods.
result Extensions of Lorentzian Hawking--Page solutions with null, spacelike singularities, and Cauchy horizons of Taub--NUT type are proven.
We investigate Kaluza-Klein metrics with a recurrent light-like vector field over a pseudo-Riemannian manifold.
The Seiberg-Witten equations are lifted to Kaluza-Klein 5-manifolds.
problem Solving the Seiberg-Witten equations on 4-manifolds with circle bundles.
method Lifts spinor and gauge field to a Kaluza-Klein metric, equivalent to solving a Dirac equation.
result Irreducible solutions to Seiberg-Witten equations on 4-manifolds are equivalent to solutions on Kaluza-Klein circle bundles.
The paper studies a geometric model combining Kaluza-Klein, Yang-Mills, and Dirac actions.
problem Analyzing the geometric and analytic aspects of a complex model.
method Investigates geometric and analytic properties of a model combining Kaluza-Klein, Yang-Mills, and Dirac actions.
result For a sequence of approximate solutions on surfaces with uniformly bounded energies, energy identities and the no-neck property hold.
Study shows large extra dimensions are hidden from view by black holes.
problem Difficulty in observing large extra dimensions in the universe.
method Analysis of conditions leading to black hole formation in lower dimensional theories.
result Extra dimensions larger than are hidden inside black holes.
We argue that G_2 manifolds for M-theory admitting string theory Calabi-Yau duals are fibered by coassociative submanifolds. Dual theories are constructed using the moduli space of M5-brane fibers as target space. Mirror symmetry and various string and M-theory dualities involving G_2 manifolds may be incorporated into…
The paper explores Kaluza-Klein theories without assuming a fibration structure.
problem Exploring Kaluza-Klein theories without assuming a fibration structure.
method Variational formulations of gauge theories and Einstein--Yang-Mills equations.
result Classical solutions allow the construction of a manifold of dimension 4 as physical space-time, leading to solutions of the Einstein--Yang-Mills systems.
The paper studies how test particles' mass and charge vary in Kaluza-Klein models.
problem Understanding how test particles' mass and charge change in Kaluza-Klein models.
method Analyzes geodesic motion in a 5D Kaluza-Klein spacetime with background metrics encoding 4D gauge fields and Higgs-like scalars.
result The mass and charge of test particles become variable when traversing regions with massive gauge fields or non-constant Higgs scalars.
We consider type II string theory in space-time backgrounds which admit eight supercharges and can be characterized by the existence of an SU(3) x SU(3) structure. We show that the couplings of such backgrounds strongly resemble the couplings of four-dimensional N=2 supergravities and precisely coincide with the N=2 co…
We study topological T-duality for spaces with a semi-free action with isolated fixed points. Physically, these correspond to spacetimes containing Kaluza-Klein monopoles. We demonstrate that the physical dyonic coordinate of such spaces has an analogue in our formalism. By analogy with the Dirac monopole, we stu…
The massless supermultiplet of eleven-dimensional supergravity can be generated from the decomposition of certain representation of the exceptional Lie group F4 into those of its maximal compact subgroup Spin(9). In an earlier paper, a dynamical Kaluza-Klein origin of this observation is proposed with internal space th…
Study local topological constraints on Berry curvature in spin-orbit coupled Bose-Einstein condensates.
problem Understanding local topological obstructions to flattening Berry curvature in spin-orbit-coupled Bose-Einstein condensates.
method Adapting Pigazzini-Toda lower bound to Kaluza-Klein setting, analyzing harmonic part of torsion 3-form, and using exact pointwise curvature analysis.
result Obstruction kernel vanishes, preventing complete gauging-away of Berry phases even at zero net topological charge.
The paper explores how non-Killing fields on internal spaces can produce massive gauge fields with chiral interactions.
problem Traditional Kaluza-Klein models limit gauge fields to Killing vector fields, ignoring chiral interactions.
method Investigates properties of 4D gauge fields linked to non-Killing fields on internal spaces using spin geometry and Riemannian submersions.
result Massive gauge fields linked to non-Killing fields can mix fermions with different masses and have asymmetric couplings to left- and right-handed fermions.
We study twisted N=2 superconformal gauge theory on a product of two Riemann surfaces Sigma and C. The twisted theory is topological along C and holomorphic along Sigma and does not depend on the gauge coupling or theta-angle. Upon Kaluza-Klein reduction along Sigma, it becomes equivalent to a topological B-model on C …
These notes are based on lectures given at the Clay School on Geometry and String Theory, Isaac Newton Institute, Cambridge, 25 March - 19 April 2002. They attempt to provide an elementary and somewhat self contained discussion of the construction of supergravity solutions describing branes wrapping calibrated cycles, …
The paper classifies helix curves on a pseudo-Riemannian surface.
problem Classifying helix curves on pseudo-Riemannian surfaces.
method Analyzing geodesic flow vector fields and pseudo-Riemannian metrics.
result All helix curves are circular helixes with constant curvature and torsion.
New 5D black hole solutions with special asymptotic structures.
problem Finding new stationary vacuum black hole solutions in 5D.
method Solving harmonic map problem with prescribed singularities.
result Explicit examples of bi-axisymmetric stationary vacuum black holes with novel asymptotic structures.
Study of harmonic maps into principal bundles with applications to magnetic interactions.
problem Understanding harmonic mappings from Riemannian manifolds into principal bundles.
method Characterization and analysis of Kaluza-Klein harmonic maps and generalized magnetic maps.
result Existence and properties of generalized magnetic maps, including non-trivial examples.
A 12D spinor encodes fermions in a 4D Kaluza-Klein model.
problem Encoding fermions in a 4D spacetime from a higher-dimensional perspective.
method Using a spacetime with , encoding fermions in 64 spinor components.
result The 64 spinor components couple to Standard Model gauge fields in chiral representations.
We consider differential operators acting on densities of arbitrary weights on manifold identifying pencils of such operators with operators on algebra of densities of all weights. This algebra can be identified with the special subalgebra of functions on extended manifold . On one hand there is a canonical…
The paper reviews a correspondence between Double Field Theory and bundle gerbes.
problem Exploring a geometric interpretation of Double Field Theory.
method Interpreting Double Field Theory as a field theory on the total space of bundle gerbes.
result Double Field Theory can be seen as a higher geometric field theory.
Torsions, curvatures, structure equations and Bianchi identities for locally anisotropic superspaces (containing as particular cases different supersymmetric extensions and prolongations of Riemann, Finsler, Lagrange and Kaluza--Klein spaces) are investigated.
The paper presents new formulations of gauge and gravity theories using dynamical principal bundles.
problem Formulating gauge and gravity theories with a flexible principal bundle structure.
method Original variational formulations of Yang-Mills, Einstein's gravitation, and Kaluza-Klein theories with a dynamical principal bundle.
result The principal bundle structure and connection emerge from the dynamics, leading to solutions of Yang-Mills, Einstein-Cartan, or Yang-Mills-Einstein equations.
The classifications of holonomy groups in Lorentzian and in Euclidean signature are quite different. A group of interest in Lorentzian signature in n dimensions is the maximal proper subgroup of the Lorentz group, SIM(n-2). Ricci-flat metrics with SIM(2) holonomy were constructed by Kerr and Goldberg, and a single four…
In this paper, a complete analysis of symmetries and conservation laws for the charged squashed Kaluza--Klein black hole spacetime in a Riemannian space is discussed. First, a comprehensive group analysis of the underlying space-time metric using Lie point symmetries are presented and then it the -dimensional optima…
Bootstrap bounds on Einstein manifolds using semidefinite programming.
problem Bounding geometric data of closed Einstein manifolds.
method Semidefinite programming applied to consistency conditions of geometric data.
result Bootstrap bounds translate to constraints on Kaluza-Klein modes.
A general approach to formulation of supergravity in higher order anisotropic superspaces (containing as particular cases different supersymmetric extensions and prolongations of Riemann, Finsler, Lagrange and Kaluza--Klein spaces) is given. We analyze three models of locally anisotropic supergravity.
Proposes a new geometric framework for unifying gravity and electromagnetism.
problem Unified description of gravity and electromagnetism in a five-dimensional space-time.
method Introduces a geometric fluid model and a multi-fibers bundle structure.
result Unified equations for gravitation and electromagnetism in a 4-dimensional space-time.
The model integrates Standard Model bosons into a higher-dimensional spacetime.
problem Integrating Standard Model bosons into a higher-dimensional spacetime.
method Considered a spacetime of the form with , integrating the Einstein-Hilbert Lagrangian density over .
result Encodes not only Yang-Mills terms but also a kinetic term for the Higgs field and potential for gauge bosons.
Study shows instability in exotic compact objects with evanescent ergosurfaces.
problem Instability in exotic compact objects with evanescent ergosurfaces.
method Analyzes linear instability of waves on manifolds with evanescent ergosurfaces.
result Linear instability of waves on manifolds with evanescent ergosurfaces.
A variational principle connects fields to principal bundles and Einstein-Yang-Mills systems.
problem Constructing variational problems on fields related to principal bundles and Einstein-Yang-Mills systems.
method Constructing a variational problem on fields defined on a manifold, leading to spontaneous symmetry breaking and identification with principal bundles.
result Global solutions of Euler-Lagrange equations lead to principal bundles and Einstein-Yang-Mills systems with a cosmological constant.
The theory of locally anisotropic superspaces (supersymmetric generalizations of various types of Kaluza--Klein, Lagrange and Finsler spaces) is laid down. In this framework we perform the analysis of construction of the supervector bundles provided with nonlinear and distinguished connections and metric structures. Tw…
Study on Ricci solitons on tangent and unit tangent bundles.
problem Characterizing Ricci solitons on tangent and unit tangent bundles.
method Analyzing pseudo-Riemannian -natural metrics and their Ricci soliton properties.
result Classification of conformal vector fields and existence of non-Einstein Ricci solitons.