Scalar-induced compactifications in higher dimensional supergravities

Kehagias, Alex; Mattheopoulou, Constantina

doi:10.1088/1126-6708/2005/08/106

Cited by 4 publications

(3 citation statements)

References 26 publications

(70 reference statements)

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“…The sigma model sector of Type IIB supergravity has also been utilized in finding an instanton solution dual to a 7-brane [24]. Supersymmetric two dimensional tear-drop solutions in ungauged D < 10 supergravities are also known [23,25,14,15,26]. More recently, the general form of the supersymmetric solutions in ungauged 4D supergravities, including their coupling to hypermatter, have been provided in [27].…”

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confidence: 99%

6Ddyonic string with active hyperscalars

Jong

Kaya

Sezgin

2006

J. High Energy Phys.

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We derive the necessary and sufficient conditions for the existence of a Killing spinor in N = (1, 0) gauge supergravity in six dimensions coupled to a single tensor multiplet, vector multiplets and hypermultiplets. These are shown to imply most of the field equations and the remaining ones are determined. In this framework, we find a novel 1/8 supersymmetric dyonic string solution with nonvanishing hypermultiplet scalars. The activated scalars parametrize a 4 dimensional submanifold of a quaternionic hyperbolic ball. We employ an identity map between this submanifold and the internal space transverse to the string worldsheet. The internal space forms a 4 dimensional analog of the Gell-Mann-Zwiebach tear-drop which is noncompact with finite volume. While the electric charge carried by the dyonic string is arbitrary, the magnetic charge is fixed in Planckian units, and hence necessarily non-vanishing. The source term needed to balance a delta function type singularity at the origin is determined. The solution is also shown to have 1/4 supersymmetric AdS 3 × S 3 near horizon limit where the radii are proportional to the electric charge.• to lay out the framework for finding further solutions which, in turn, may lead to new solutions in other theories of interest that live in diverse dimensions,• to establish the fact that (dyonic) string solution exists in a more general situation than so far that has been known, in the sense that new type of fields, to wit, hyperscalars, have been activated, and

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confidence: 99%

6Ddyonic string with active hyperscalars

Jong

Kaya

Sezgin

2006

J. High Energy Phys.

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“…The fact that the vacuum energy of 3-branes in six dimensions contributes only to the energy momentum tensor in the transverse directions has made the co-dimension two brane world scenarios very attractive as a possible solution of the cosmological constant problem [7][8][9][10]. These ideas have been considered in different contexts such as flux compactification [11][12][13][14][15][16][17][18][19], non-linear sigma models [20][21][22][23] and specifically in axion-dilaton gravity [24][25][26]. The construction of co-dimension two branes as solutions of axion-dilaton gravity goes back to string theory [27].…”

Section: Introductionmentioning

confidence: 99%

dS solutions with co-dimension 2 branes in six dimensions

Afshar

Firouzjahi

Parvizi

2013

Class. Quantum Grav.

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We investigate phenomenological 4D dS solutions with co-dimension two branes and finite 4D Planck mass in six dimensions. We present the conditions under which six-dimensional compactifications with holomorphic axion-dilaton field or models with pure gravity with local sources can yield 4D dS solutions.Different classes of solutions are specified by a holomorphic function describing different embeddings of multiple conical branes. Depending on the local singularities of this holomorphic function and the topology of the compact dimension one has to introduce 3-branes creating a deficit angle equal to π and/or 4-branes with positive tensions.

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“…The reason is that if the internal space is not Ricci-flat, it will have a positive cosmological constant (for a maximally symmetric 4D spacetime) which will give rise to a negative cosmological constant in 4D and therefor to AdS 4 . Definitely, it is possible to consider an internal space with a negative cosmological constant and finite volume (for example by quotienting the internal space by a discrete appropriate subgroup of its non-compact isometry group [6][7][8][9]). In this case, a de Sitter 4D vacuum emerges but with a huge cosmological constant.…”

Section: Introductionmentioning

confidence: 99%

Vanishing cosmological constant by gravitino-dressed compactification of 11D supergravity

Farakos

Kehagias

Saridakis

2011

J. High Energ. Phys.

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We consider compactifications induced by the gravitino field of eleven dimensional supergravity. Such compactifications are not trivial in the sense that the gravitino profiles are not related to pure bosonic ones by means of a supersymmetry transformation. The basic property of such backgrounds is that they admit ψ-torsion although they have vanishing Riemann tensor. Thus, these backgrounds may be considered also as solutions of the teleparallel formulation of supergravity. We construct two classes of solutions, one with both antisymmetric three-form field, gravity and gravitino and one with only gravity and gravitino. In these classes of solutions, the internal space is a parallelized compact manifold, so that it does not inherit any cosmological constant to the external spacetime. The latter turns out to be flat Minkowski in the maximally symmetric case. The elimination of the cosmological constant in the spontaneously compactified supergravity seems to be a generic property based on the trading of the cosmological constant for parallelizing torsion.

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Scalar-induced compactifications in higher dimensional supergravities

Cited by 4 publications

References 26 publications

6Ddyonic string with active hyperscalars

6Ddyonic string with active hyperscalars

dS solutions with co-dimension 2 branes in six dimensions

Vanishing cosmological constant by gravitino-dressed compactification of 11D supergravity

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