Fake supergravity and domain wall stability

By D. Freedman, C. Nuñez, M. Schnabl, Kostas Skenderis. 2003

266 citations recorded by the source corpus.

We review the generalized Witten-Nester spinor stability argument for flat domain wall solutions of gravitational theories. Neither the field theory nor the solution need be supersymmetric. Nor is the space-time dimension restricted. We develop the nontrivial extension required for AdS-sliced domain walls and apply this to show that the recently proposed ``Janus'' solution of type-IIB supergravity is stable nonperturbatively for a broad class of deformations. Generalizations of this solution to arbitrary dimension and a simple curious linear dilaton solution of type-IIB supergravity are by-products of this work.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/558d4a8483ee68e3689cd89e34d7de73c2624ca8

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Citations in the corpus

Exact half-BPS Type IIB interface solutions. I. Local solution and supersymmetric Janus (2007, background): “The Janus solution is a 1-parameter family of dilatonic deformations of AdS5 × S5 in which the entire internal symmetry SO(6) is preserved, but supersymmetry is completely broken.”
Interface Yang–Mills, supersymmetry, and Janus (2006, background): “ under SO(2,3)×SO(6), but break all supersymmetries. Remarkably, despite their lack of supersymmetry, the solutions are classically stable against all small and a certain class of large perturbations [1, 3, 4]. The Janus solutions oﬀer interesting candidates for further exploring the AdS/CFT corresp”
Unquenched Flavor in the Gauge/Gravity Correspondence (2010, background): “In non-SUSY examples one might manage to get a fake superpotential and fake-BPS equations [26].”
Dual of the Janus solution : An interface conformal field theory (2005, methodology): “One might suspect that a non-supersymmetric solution is unstable, and the stability question was recently examined in [ 2 ].”
Holographic renormalization of general dilaton-axion gravity (2011, background): “29) there is additionally a one-parameter family of non-constant solutions given by [30, 31]”
Multi-trace deformations in AdS/CFT: exploring the vacuum structure of the deformed CFT (2007, background): “However, we should emphasize that this is not the case for the standard first order formalism for curved domain walls (k = ±1) [43, 45], which does not seem directly related to Hamilton-Jacobi theory.”
Holographic Calculation of Boundary Entropy (2007, result): “We thus should not expect to see this as an instability in the spectrum of normalizable fluctuations around the Janus geometry with fixed asymptotic behavior, consistent with the positive energy theorem proven for Janus-type solutions in [19].”
Flow equations for non-BPS extremal black holes (2007, background): “For domain-wall solutions, we know since [22, 8] that whenever the scalar potential VDW is determined by a real superpotential W such that”
Correlation functions in holographic RG flows (2004, methodology): “AdS-sliced Domain Walls AdS-sliced domain walls have also been studied in the literature [27, 28, 29, 14, 15].”