Single-sided domain walls in M-theory

Gibbons, G. W.; Rychenkova, P.

doi:10.1016/s0393-0440(99)00036-4

Cited by 28 publications

(63 citation statements)

References 38 publications

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“…The solution has a singularity at y = 0. In [11], it was shown that the metric (5) is the asymptotic form of a complete non-singular hyper-Kähler metric on the complement in…”

Section: The Basic Domain-wall Constructionmentioning

confidence: 99%

“…Since the BPS solutions partially break supersymmetry, while retaining a certain number of Killing spinors, it follows that the Ricci-flat metrics will have special holonomy. In [9,10,11], a geometrical interpretation of these domain walls as Ricci-flat spaces with toroidal fibre bundle level surfaces was given.…”

Section: Introductionmentioning

confidence: 99%

“…An example of this is given by a singular limit of K3 that produces the transverse and internal dimensions of the oxidation of an eight-dimensional 6-brane to D = 11 [11]. Since metrics on K3 are not known explicitly, the discussion was necessarily a highly implicit one.…”

Section: Introductionmentioning

confidence: 99%

“…For our present purposes, however, the salient properties of the K3 degeneration for this identification with the domain wall were the appearance of a Heisenberg symmetry in the singular limit, as well as a characteristic rate of growth of the volume of the manifold as one recedes from the singularity. Higher-dimensional examples with more internal directions, related to higherdimensional Calabi-Yau manifolds, were also considered in [11]. The associated domain walls have generalised Heisenberg symmetries.…”

Section: Introductionmentioning

confidence: 99%

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Supersymmetric domain walls from metrics of special holonomy

et al. 2002

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Supersymmetric domain-wall spacetimes that lift to Ricci-flat solutions of M-theory admit generalized Heisenberg (2-step nilpotent) isometry groups. These metrics may be obtained from known cohomogeneity one metrics of special holonomy by taking a "Heisenberg limit," based on an Inönü-Wigner contraction of the isometry group. Associated with each such metric is an Einstein metric with negative cosmological constant on a solvable group manifold. We discuss the relevance of our metrics to the resolution of singularities in domain-wall spacetimes and some applications to holography. The extremely simple forms of the explicit metrics suggest that they will be useful for many other applications. We also give new but incomplete inhomogeneous metrics of holonomy SU (3), G 2 and Spin(7), which are T 1 , T 2 and T 3 bundles respectively over hyper-Kähler four-manifolds.

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“…The solution has a singularity at y = 0. In [11], it was shown that the metric (5) is the asymptotic form of a complete non-singular hyper-Kähler metric on the complement in…”

Section: The Basic Domain-wall Constructionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Supersymmetric domain walls from metrics of special holonomy

et al. 2002

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“…On the other hand, if H(z) is piecewise continuous, it describes domain walls sited at the discontinuous points. Such solutions have been discussed in [18,19,20,21,22]. Another possibility is to consider the case in which, H(z) is piecewise continuous and periodic 2 .…”

Section: Exponential Hierarchy In Gauged Supergravitymentioning

confidence: 99%

Exponential and power-law hierarchies from supergravity

Kehagias

1999

Physics Letters B

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We examine how a d-dimensional mass hierarchy can be generated from a d+1-dimensional set up. We consider a d+1-dimensional scalar, the hierarchon, which has a potential as in gauged supergravities. We find that when it is in its minimum, there exist solutions of Hořava-Witten topology R d × S 1 /Z 2 with domain walls at the fixed points and anti-de Sitter geometry in the bulk. We show that while standard Poincaré supergravity leads to power-law hierarchies, (e.g. a power law dependence of masses on the compactification scale), gauged supergravity produce an exponential hierarchy as recently proposed by Randall and Sundrum.

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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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Single-sided domain walls in M-theory

Cited by 28 publications

References 38 publications

Supersymmetric domain walls from metrics of special holonomy

Supersymmetric domain walls from metrics of special holonomy

Exponential and power-law hierarchies from supergravity

M‐theory and gauged supergravities

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