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A large mass hierarchy from a small extra dimension
, 1999
"... We propose a new higherdimensional mechanism for solving the hierarchy problem. The weak scale is generated from a large scale of order the Planck scale through an exponential hierarchy. However, this exponential arises not from gauge interactions but from the background metric (which is a slice of ..."
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Cited by 1077 (3 self)
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of AdS5 spacetime). This mechanism relies on the existence of only a single additional dimension. We demonstrate a simple explicit example of this mechanism with two threebranes, one of which contains the Standard Model fields. The experimental consequences of this scenario are new and dramatic
Macroscopic strings as heavy quarks in large N gauge theory and Antide Sitter supergravity
 PHYS. J. C22
"... Maldacena has put forward large N correspondence between superconformal field theories on the brane and antide Sitter supergravity in spacetime. We study some aspects of the correspondence between N = 4 superconformal gauge theory on D3brane and maximal supergravity on adS5 × S5 by introducing mac ..."
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Cited by 508 (1 self)
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Maldacena has put forward large N correspondence between superconformal field theories on the brane and antide Sitter supergravity in spacetime. We study some aspects of the correspondence between N = 4 superconformal gauge theory on D3brane and maximal supergravity on adS5 × S5 by introducing
Integrable Hamiltonian for classical strings on ADS5 × S 5
, 2004
"... We find the Hamiltonian for physical excitations of the classical bosonic string propagating in the AdS5 × S5 spacetime. The Hamiltonian is obtained in a socalled uniform gauge which is related to the static gauge by a 2d duality transformation. The Hamiltonian is of the Nambu type and depends on ..."
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Cited by 102 (13 self)
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We find the Hamiltonian for physical excitations of the classical bosonic string propagating in the AdS5 × S5 spacetime. The Hamiltonian is obtained in a socalled uniform gauge which is related to the static gauge by a 2d duality transformation. The Hamiltonian is of the Nambu type and depends
Phenomenology on a Slice of AdS5 × M δ Spacetime ∗
, 2003
"... We study the phenomenology resulting from backgrounds of the form AdS5 × Mδ, where Mδ denotes a generic manifold of dimension δ ≥ 1, and AdS5 is the slice of 5dimensional antide Sitter space which generates the hierarchy in the RandallSundrum (RS) model. The δ additional dimensions may be require ..."
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We study the phenomenology resulting from backgrounds of the form AdS5 × Mδ, where Mδ denotes a generic manifold of dimension δ ≥ 1, and AdS5 is the slice of 5dimensional antide Sitter space which generates the hierarchy in the RandallSundrum (RS) model. The δ additional dimensions may
Phenomenology on a Slice of AdS5 ×Mδ Spacetime ∗
, 2002
"... We study the phenomenology resulting from backgrounds of the form AdS5 ×Mδ, where Mδ denotes a generic manifold of dimension δ ≥ 1, and AdS5 is the slice of 5dimensional antide Sitter space which generates the hierarchy in the RandallSundrum (RS) model. The δ additional dimensions may be required ..."
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We study the phenomenology resulting from backgrounds of the form AdS5 ×Mδ, where Mδ denotes a generic manifold of dimension δ ≥ 1, and AdS5 is the slice of 5dimensional antide Sitter space which generates the hierarchy in the RandallSundrum (RS) model. The δ additional dimensions may
Spacetimes with singularities
"... We report on some advances made in the problem of singularities in general relativity. First is introduced the singular semiRiemannian geometry for metrics which can change their signature (in particular be degenerate). The standard operations like covariant contraction, covariant derivative, and c ..."
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We report on some advances made in the problem of singularities in general relativity. First is introduced the singular semiRiemannian geometry for metrics which can change their signature (in particular be degenerate). The standard operations like covariant contraction, covariant derivative, and constructions like the Riemann curvature are usually prohibited by the fact that the metric is not invertible. The things become even worse at the points where the signature changes. We show that we can still do many of these operations, in a different framework which we propose. This allows the writing of an equivalent form of Einstein’s equation, which works for degenerate metric too. Once we make the singularities manageable from mathematical viewpoint, we can extend analytically the black hole solutions and then choose from the maximal extensions globally hyperbolic regions. Then we find spacelike foliations for these regions, with the implication that the initial data can be preserved in reasonable situations. We propose qualitative models of nonprimordial and/or evaporating black holes. We supplement the material with a brief note reporting on progress made since this talk was given, which shows that we can analytically extend the Schwarzschild and ReissnerNordström metrics at and beyond the singularities, and the singularities can be made degenerate and handled with the mathematical apparatus we developed.
Results 1  10
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44,742