Domain Walls and Flow Equations in Supergravity

Behrndt, Klaus

doi:10.1002/1521-3978(200105)49:4/6<327::aid-prop327>3.0.co;2-m

Cited by 7 publications

(9 citation statements)

References 63 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The holographic RG flows have been extensively studied in the literature and, with sufficient supersymmetry, yield BPS solutions which are gradient flows, see e.g. [39,40]. As we illustrate in section 4, they provide excellent arena for testing the relations (1.6)-(1.8) and (2.19)- (2.20).…”

Section: Counting Rg Wallsmentioning

confidence: 97%

Counting RG flows

Gukov

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

Interpreting renormalization group flows as solitons interpolating between different fixed points, we ask various questions that are normally asked in soliton physics but not in renormalization theory. Can one count RG flows? Are there different "topological sectors" for RG flows? What is the moduli space of an RG flow, and how does it compare to familiar moduli spaces of (supersymmetric) dowain walls? Analyzing these questions in a wide variety of contexts -from counting RG walls to AdS/CFT correspondence -will not only provide favorable answers, but will also lead us to a unified general framework that is powerful enough to account for peculiar RG flows and predict new physical phenomena. Namely, using Bott's version of Morse theory we relate the topology of conformal manifolds to certain properties of RG flows that can be used as precise diagnostics and "topological obstructions" for the strong form of the C-theorem in any dimension. Moreover, this framework suggests a precise mechanism for how the violation of the strong C-theorem happens and predicts "phase transitions" along the RG flow when the topological obstruction is non-trivial. Along the way, we also find new conformal manifolds in well-known 4d CFT's and point out connections with the superconformal index and classifying spaces of global symmetry groups.

show abstract

Section: Counting Rg Wallsmentioning

confidence: 97%

Counting RG flows

Gukov

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…If the warp factor is exponentially large one calls it an UV extremum and if the warp factor appears to be exponentially small it is an IR extremum, see [14,15,16]. This notation is obviously related to the RG-flow application and an example for a flow interpolating between UV and IR extrema was given in [2,17].…”

Section: Introductionmentioning

confidence: 99%

Vacua of N=2 gauged supergravity derived from non-homogeneous quaternionic spaces

Behrndt

Dall’Agata

2002

Nuclear Physics B

Self Cite

View full text Add to dashboard Cite

We discuss a class of 4-dimensional non-homogeneous quaternionic spaces, which become the two known homogeneous spaces (EAdS 4 and SU(2, 1)/U(2)) in certain limits. These moduli spaces have two regions where the metric is positive definite, separated by a non-physical region where the metric has timelike directions and which contains a curvature singularity. They admit four isometries and we consider their general Abelian gauging. The critical points of the resulting superpotential and hence the possible domain wall solutions differ significantly in the two regions. On one side one can construct only singular walls, whereas in the other we found a smooth domain wall interpolating between two infra-red critical points located exactly on the boundary of the physical allowed parameter region.

show abstract

“…Recall that a flow is of Randall-Sundrum [5] type if it connects two 'IR critical points' of W , i.e. two critical points for which the matrix ∂ Λ ∂ Σ W is negative semidefinite when computed on the side of the flow [15,34] (remember that W is always non-negative with our conventions). In our case, this definition does not strictly apply, since the metric blows up at the critical points in our coordinates, so that ∂ Λ ∂ Σ W will vanish there.…”

Section: Flows Of Randall-sundrum Typementioning

confidence: 99%

Domain walls ofN= 2 supergravity in five dimensions from hypermultiplet moduli spaces

Anguelova

Lazaroiu

2002

J. High Energy Phys.

View full text Add to dashboard Cite

We study domain wall solutions in d=5, N=2 supergravity coupled to a single hypermultiplet whose moduli space is described by certain inhomogeneous, toric ESD manifolds constructed recently by Calderbank and Singer. Upon gauging a generic U(1) isometry of these spaces, we obtain an infinite family of models whose "superpotential" admits an arbitrary number of isolated critical points. By investigating the associated supersymmetric flows, we prove the existence of domain walls of Randall-Sundrum type for each member of our family, and find chains of domain walls interpolating between various AdS 5 backgrounds. Our models are described by a discrete infinity of smooth and complete one-hypermultiplet moduli spaces, which live on an open subset of the minimal resolution of certain cyclic quotient singularities. These spaces generalize the Pedersen metrics considered recently by Behrndt and Dall' Agata.

show abstract

Domain Walls and Flow Equations in Supergravity

Abstract: Domain wall solutions supergravity have attracted much attention recently especially for brane world scenarios and the holographic RG flow. In this talk I summarize some aspects for these applications, a more detailed version will appear on the hep‐th archive.

Cited by 7 publications

References 63 publications

Counting RG flows

Counting RG flows

Vacua of N=2 gauged supergravity derived from non-homogeneous quaternionic spaces

Domain walls ofN= 2 supergravity in five dimensions from hypermultiplet moduli spaces

Contact Info

Product

Resources

About