The general warped solution with conical branes in six-dimensional supergravity

Lee, Hyun Min; Lüdeling, Christoph

doi:10.1088/1126-6708/2006/01/062

Cited by 42 publications

(60 citation statements)

References 32 publications

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“…(See also [43][44][45][46][47] for a discussion of linearized solutions; [39,48,49] for solutions with 6 φ = 0; [56] with other fields nonzero; [48,[57][58][59][60] for time-dependent configurations; [61] with more than two brane sources; and with black hole solutions [62]. )…”

Section: Explicit Bulk Solutionsmentioning

confidence: 99%

EFT for vortices with dilaton-dependent localized flux

Burgess

Diener

Williams

2015

J. High Energ. Phys.

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Abstract:We study how codimension-two objects like vortices back-react gravitationally with their environment in theories (such as 4D or higher-dimensional supergravity) where the bulk is described by a dilaton-Maxwell-Einstein system. We do so both in the full theory, for which the vortex is an explicit classical 'fat brane' solution, and in the effective theory of 'point branes' appropriate when the vortices are much smaller than the scales of interest for their back-reaction (such as the transverse Kaluza-Klein scale). We extend the standard Nambu-Goto description to include the physics of flux-localization wherein the ambient flux of the external Maxwell field becomes partially localized to the vortex, generalizing the results of a companion paper [10] to include dilaton-dependence for the tension and localized flux. In the effective theory, such flux-localization is described by the next-to-leading effective interaction, and the boundary conditions to which it gives rise are known to play an important role in how (and whether) the vortex causes supersymmetry to break in the bulk. We track how both tension and localized flux determine the curvature of the space-filling dimensions. Our calculations provide the tools required for computing how scale-breaking vortex interactions can stabilize the extra-dimensional size by lifting the dilaton's flat direction. For small vortices we derive a simple relation between the nearvortex boundary conditions of bulk fields as a function of the tension and localized flux in the vortex action that provides the most efficient means for calculating how physical vortices mutually interact without requiring a complete construction of their internal structure. In passing we show why a common procedure for doing so using a δ-function can lead to incorrect results. Our procedures generalize straightforwardly to general co-dimension objects.

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Section: Explicit Bulk Solutionsmentioning

confidence: 99%

EFT for vortices with dilaton-dependent localized flux

Burgess

Diener

Williams

2015

J. High Energ. Phys.

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“…Denoting differentiation with respect to proper distance, ρ, by primes, the dilaton field equation reads 11) where the the above equality defines Y. Two things are important about Y: (i) Y contains no terms from the bulk lagrangian and so vanishes identically in the absence of the source branes; and (ii) the brane contribution to Y vanishes everywhere if and only if the brane lagrangian does not break the scale invariance of the bulk action.…”

Section: Jhep10(2015)177mentioning

confidence: 99%

“…We use this specific theory for two reasons. First, it is known to admit explicit stabilized extra-dimensional solutions -both without branes [6] and with them [7][8][9][10][11][12][13][14][15][16][17][18] -for which gravity competes with flux quantization and brane back-reaction to stabilize the extra dimensions. This makes it a good laboratory for studying in detail how interactions amongst branes and fluxes can compete to shape the extra dimensions while going beyond the restriction to one extra dimension of the well-explored 5D Randall-Sundrum models [19,20].…”

Section: Jhep10(2015)177 1 Introductionmentioning

confidence: 99%

Self-tuning at large (distances): 4D description of runaway dilaton capture

Burgess

Diener

Williams

2015

J. High Energ. Phys.

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Abstract:We complete here a three-part study (see also arXiv:1506.08095 and arXiv:1508.00856) of how codimension-two objects back-react gravitationally with their environment, with particular interest in situations where the transverse 'bulk' is stabilized by the interplay between gravity and flux-quantization in a dilaton-Maxwell-Einstein system such as commonly appears in higher-dimensional supergravity and is used in the Supersymmetric Large Extra Dimensions (SLED) program. Such systems enjoy a classical flat direction that can be lifted by interactions with the branes, giving a mass to the would-be modulus that is smaller than the KK scale. We construct the effective low-energy 4D description appropriate below the KK scale once the transverse extra dimensions are integrated out, and show that it reproduces the predictions of the full UV theory for how the vacuum energy and modulus mass depend on the properties of the branes and stabilizing fluxes. In particular we show how this 4D theory learns the news of flux quantization through the existence of a space-filling four-form potential that descends from the higherdimensional Maxwell field. We find a scalar potential consistent with general constraints, like the runaway dictated by Weinberg's theorem. We show how scale-breaking brane interactions can give this potential minima for which the extra-dimensional size, , is exponentially large relative to underlying physics scales, r B , with 2 = r 2 B e −ϕ where −ϕ 1 can be arranged with a small hierarchy between fundamental parameters. We identify circumstances where the potential at the minimum can (but need not) be parametrically suppressed relative to the tensions of the branes, provide a preliminary discussion of the

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“…Higher dimensional fermions in a non-singular 6D brane background with an increasing warp factor has also been studied [18]. It has also been claimed in [19] that all the zero modes of the standard model fields can be localized on a single brane by means of only the gravitational interaction.…”

Section: Introductionmentioning

confidence: 99%

Braneworlds in six dimensions: new models with bulk scalars

Koley¹,

Kar²

2006

Class. Quantum Grav.

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Six dimensional bulk spacetimes with 3-and 4-branes are constructed using certain nonconventional bulk scalars as sources. In particular, we investigate the consequences of having the phantom (negative kinetic energy) and the Brans-Dicke scalar in the bulk while obtaining such solutions. We find geometries with 4-branes with a compact on-brane dimension (hybrid compactification) which may be assumed to be small in order to realize a 3-brane world. On the other hand, we also construct, with similar sources, bulk spacetimes where a 3-brane is located at a conical singularity. Furthermore, we investigate the issue of localization of matter fields (scalar, fermion, graviton, vector) on these 3-and 4-branes and conclude with comments on our six dimensional models.

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The general warped solution with conical branes in six-dimensional supergravity

Cited by 42 publications

References 32 publications

EFT for vortices with dilaton-dependent localized flux

EFT for vortices with dilaton-dependent localized flux

Self-tuning at large (distances): 4D description of runaway dilaton capture

Braneworlds in six dimensions: new models with bulk scalars

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