2012
DOI: 10.1007/jhep04(2012)018
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On brane back-reaction and de Sitter solutions in higher-dimensional supergravity

Abstract: We argue that the problem of finding lower-dimensional de Sitter solutions to the classical field equations of higher-dimensional supergravity necessarily requires understanding the back-reaction of whatever localized objects source the bulk fields. However, we also find that most of the details of the back-reacted solutions are not important for determining the lower-dimensional curvature. We find, in particular, a classically exact expression that, for a broad class of geometries, directly relates the curvat… Show more

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Cited by 32 publications
(54 citation statements)
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References 62 publications
(110 reference statements)
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“…For spinless fields we begin with the following general scalar-field action involving two derivatives or less, 14) for a collection of N real scalar fields, Φ i , coupled to a background metric, g M N , and gauge fields, A a M . The functions U , V , W and the target-space metric, G ij , are imagined to be known functions of the Φ i .…”
Section: Scalarsmentioning
confidence: 99%
“…For spinless fields we begin with the following general scalar-field action involving two derivatives or less, 14) for a collection of N real scalar fields, Φ i , coupled to a background metric, g M N , and gauge fields, A a M . The functions U , V , W and the target-space metric, G ij , are imagined to be known functions of the Φ i .…”
Section: Scalarsmentioning
confidence: 99%
“…There, they were shown to originate from global constraints that relate the boundary conditions at the antibrane position to the cosmological constant (or, in a noncompact setting, to the boundary conditions far away from the antibranes, e.g., at the end of a warped throat). These constraints are due to the specific way of how branes and fluxes break the classical scale invariance of the supergravity equations (see also [59,60] for earlier works exploiting scaling symmetries) and insensitive to local details of the particular solution. Hence, the appearance of flux singularities is a universal property of a large class of supergravity solutions.…”
Section: Introductionmentioning
confidence: 99%
“…For a higher number of co-dimensions it it is much harder to formulate the boundary conditions, and explicit solutions to the Einstein and matter equations only exist for co-dimension two brane worlds. Recently the matching conditions for co-dimension two sources in arbitrary dimensions were formulated [4,45]. Specific examples of co-dimension one and two brane worlds are 5d RS1 models and 6d "football shaped" models [41,42,43,44] respectively.…”
Section: Brane Worldsmentioning
confidence: 99%
“…We here note that neglecting the boundary term (2.21) is another assumption that fails for these models, and that was used in the derivation of the theorems. This loop hole in the no-go theorems was addressed for co-dimension two branes in [4].…”
Section: Brane Worldsmentioning
confidence: 99%
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