Domain walls in five dimensional supergravity with non-trivial hypermultiplets

Behrndt, Klaus; Herrmann, Carl; Louis, Jan; Thomas, Steven

doi:10.1088/1126-6708/2001/01/011

Cited by 59 publications

(84 citation statements)

References 51 publications

(157 reference statements)

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“…The phase gives again (2.25), as we announced already [1]. The equation of the norm and the equation for the hyperinos give a similar condition for all scalars φ Λ [50]:…”

Section: Bps Conditionssupporting

confidence: 55%

The scalars of N=2, D=5 and attractor equations

Proeyen¹

2001

AIP Conference Proceedings

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Theories in 5 dimensions with minimal supersymmetry are studied for domain-wall solutions and in the context of the AdS/CFT correspondence. The scalar manifold is a product of a very special real manifold and a quaternionic-Kähler manifold. Superconformal methods can clarify the structure of these manifolds, which are part of the family of special manifolds. BPS solutions depending on the scalars and a warp factor of the 5-dimensional metric with a flat 4-dimensional metric can interpolate between critical points determined by algebraic attractor equations. The mixing of vector and hypermultiplets is essential to obtain UV and IR critical points.

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“…The phase gives again (2.25), as we announced already [1]. The equation of the norm and the equation for the hyperinos give a similar condition for all scalars φ Λ [50]:…”

Section: Bps Conditionssupporting

confidence: 55%

The scalars of N=2, D=5 and attractor equations

Proeyen¹

2001

AIP Conference Proceedings

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“…following the steps done in 5 dimensions, see also [7], the hyperino variation yields the same flow equationq…”

Section: Gauged Supergravity In 4 Dimensionsmentioning

confidence: 91%

“…One can show [7], that the SU (2) phase of W does not contribute to the scalar flow equations and is absorbed by the SU (2) connection entering the covariant derivative D m . Moreover, combining all scalars (…”

Section: Gauged Supergravity In 5 Dimensionsmentioning

confidence: 99%

Domain walls, black holes, and supersymmetric quantum mechanics

2001

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Supersymmetric solutions, such as BPS domain walls or black holes, in four-and fivedimensional supergravity theories with eight supercharges can be described by effective quantum mechanics with a potential term. We show how properties of the latter theory can help us to learn about the physics of supersymmetric vacua and BPS solutions in these supergravity theories. The general approach is illustrated in a number of specific examples where scalar fields of matter multiplets take values in symmetric coset spaces.

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“…The hypermultiplet sector is very much similar to the D=4 N=2 gauged supergravity case which was known for some time (see [20] for a review). So far only very few models could be discussed explicitly [21,6,22], but unfortunately most the explicit examples are singular (note, however, regular flows can be constructed using the model of [13]). …”

Section: Introductionmentioning

confidence: 99%

Bent Bogomol’nyi-Prasad-Sommerfield domain walls ofD=5,N=2gauged supergravity coupled to hypermultiplets

Behrndt

Cvetič

2002

Phys. Rev. D

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Within D=5 N=2 gauged supergravity coupled to hypermultiplets we derive consistency conditions for BPS domain walls with constant negative curvature on the wall. For such wall solutions to exist, the covariant derivative of the projector, governing the constraint on the Killing spinor, has to be non-zero and proportional to the cosmological constant on the domain walls. We also prove that in this case solutions of the Killing spinor equations are indeed solutions of the equations of motion. We present explicit, analytically solved examples of such domain walls, employing the universal hypermultiplet fields. These examples involve the running of two scalar fields and the space-time in the transverse direction that is cut off at a critical distance, governed by the magnitude of the negative cosmological constant on the wall.

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Domain walls in five dimensional supergravity with non-trivial hypermultiplets

Cited by 59 publications

References 51 publications

The scalars of N=2, D=5 and attractor equations

The scalars of N=2, D=5 and attractor equations

Domain walls, black holes, and supersymmetric quantum mechanics

Bent Bogomol’nyi-Prasad-Sommerfield domain walls ofD=5,N=2gauged supergravity coupled to hypermultiplets

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