Gravitational Domain Walls and -Brane Distributions

Bakas, Ioannis; Sfetsos, Konstadinos

doi:10.1002/1521-3978(200105)49:4/6<419::aid-prop419>3.0.co;2-e

Cited by 9 publications

(16 citation statements)

References 6 publications

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“…From the form of the metric one infers that the solution corresponds to some brane distribution. For all q i = 1, these solutions were found in [166][167][168] for the D3-, M2-and M5-branes and in [162,169] for other branes. The harmonic function takes the form…”

Section: Higher-dimensional Origin and Harmonicsmentioning

confidence: 79%

M‐theory and gauged supergravities

Roest

2005

Fortschritte der Physik

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Cyano‐substituted oligo(p‐phenylene vinylene) derivatives can display piezochromic fluorescence. This rare and desirable effect is achieved by balancing π–π and aliphatic interactions in these molecules through the variation of electron density in the central ring and the length of peripheral aliphatic tails. This leads to fluorophores which can adopt different supramolecular structures and as a result can change their solid‐state emission characteristics upon compression.

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Section: Higher-dimensional Origin and Harmonicsmentioning

confidence: 79%

M‐theory and gauged supergravities

Roest

2005

Fortschritte der Physik

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“…From the form of the metric, it is therefore seen that the solution corresponds to some kind of brane distribution. For all q i = 1, these solutions were found in [4,37,38] for the D3-, M2-and M5-branes and in [8,39] for the other non-conformal branes. The harmonic function takes the form…”

Section: Higher-dimensional Originmentioning

confidence: 80%

“…It is difficult to obtain the explicit expression for the harmonic function H n in terms of the Cartesian coordinates z i (the example of n = 2 will be given in (39)). Nevertheless, one can show that H n is indeed harmonic on R n for all values of q i , thus extending the analysis of [38] where q i = 1.…”

Section: Higher-dimensional Originmentioning

confidence: 99%

The Domain Walls of Gauged Maximal Supergravities and their M-theory Origin

Bergshoeff

Nielsen

Roest

2004

J. High Energy Phys.

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We consider gauged maximal supergravities with CSO(p, q, r) gauge groups and their relation to the branes of string and M-theory. The gauge groups are characterised by n mass parameters, where n is the transverse dimension of the brane. We give the scalar potentials and construct the corresponding domain wall solutions. In addition, we show the higher-dimensional origin of the domain walls in terms of (distributions of) branes.We put particular emphasis on the CSO(p, q, r) gauged supergravities in D = 9 and D = 8, which are related to the D7-brane and D6-brane, respectively. In these cases, twisted and group manifold reductions are shown to play a crucial role. We also discuss salient features of the corresponding brane distributions.

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“…calculated according to Eqs. ( 7) and (28). We note that this is a matrix representation of the usual Euler formula of the complex numbers.…”

Section: Corollarymentioning

confidence: 96%

“…This restriction is known in four dimensions where there exists only three hyper-Kähler manifolds with only one hypercomplex structure and one subgroup O(3) ⊂ I(M 4 ) [25]. These are given by the Atiyah-Hitchin [26], Taub-NUT and Eguchi-Hanson [27] metrics, the first one being only that does not admit more U(1) isometries [25,28].…”

Section: The Transformation Of Triplets Under Isometriesmentioning

confidence: 99%

Superalgebras of Dirac operators on manifolds with special Killing‐Yano tensors

Cotăescu

Visinescu²

2006

Fortschritte der Physik

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We present the properties of new Dirac-type operators generated by real or complex-valued special Killing-Yano tensors that are covariantly constant and represent roots of the metric tensor. In the real case these are just the so called complex or hyper-complex structures of the Kählerian manifolds. Such a Killing-Yano tensor produces simultaneously a Dirac-type operator and the generator of a one-parameter Lie group connecting this operator with the standard Dirac one. In this way the Dirac operators are related among themselves through continuous transformations associated with specific discrete ones. We show that the group of these continuous transformations can be only U (1) or SU (2). It is pointed out that the Dirac and Dirac-type operators can form N = 4 superalgebras whose automorphisms combine isometries with the SU (2) transformation generated by the Killing-Yano tensors. As an example we study the automorphisms of the superalgebras of Dirac operators on Minkowski spacetime.Pacs 04.62.+v *

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Gravitational Domain Walls and -Brane Distributions

Cited by 9 publications

References 6 publications

M‐theory and gauged supergravities

M‐theory and gauged supergravities

The Domain Walls of Gauged Maximal Supergravities and their M-theory Origin

Superalgebras of Dirac operators on manifolds with special Killing‐Yano tensors

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