2014
DOI: 10.48550/arxiv.1411.1887
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Holography, Probe Branes and Isoperimetric Inequalities

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Cited by 13 publications
(48 citation statements)
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“…The situation may be briefly explained as follows. Ferrari and co-workers have shown [11][12][13][14] that, simply for reasons of internal mathematical consistency, a string-theoretic bulk spacetime with a holographic dual must satisfy certain fundamental relations between the Euclidean spacetime action and the action of probes (such as branes). This has been explicitly confirmed in a large number of concrete cases [14].…”
Section: The Quark-gluon Plasma In the Lhcmentioning
confidence: 99%
See 1 more Smart Citation
“…The situation may be briefly explained as follows. Ferrari and co-workers have shown [11][12][13][14] that, simply for reasons of internal mathematical consistency, a string-theoretic bulk spacetime with a holographic dual must satisfy certain fundamental relations between the Euclidean spacetime action and the action of probes (such as branes). This has been explicitly confirmed in a large number of concrete cases [14].…”
Section: The Quark-gluon Plasma In the Lhcmentioning
confidence: 99%
“…where L denotes the asymptotic AdS curvature scale, and the superscript "E" represents "Euclidean" 1 . It is known [13] that this condition is satisfied by many candidate bulk geometries, including some very complicated ones such as Euclidean AdS-Kerr geometry. But quasirealistic cases in which it is apparently not satisfied are also known.…”
Section: The Quark-gluon Plasma In the Lhcmentioning
confidence: 99%
“…(We follow Seiberg and Witten and work in Euclidean signature, converting to Lorentzian signature at the end of the computation. In fact the Euclidean version of the condition we study has a deep interpretation in terms of the internal mathematical consistency of string theory on asymptotically hyperbolic manifolds: see [32][33][34][35]. )…”
Section: The Seiberg-witten Stability Criterionmentioning
confidence: 96%
“…Seiberg and Witten [37] (see [38,39]) showed that the study of BPS branes propagating in asymptotically AdS spacetimes leads to a condition which must be satisfied if the system is to be stable. Subsequent work [47][48][49][50] has shown that this condition is actually a reflection of very deep internal consistency conditions in string theory; systems which fail to satisfy it are not solutions in the full theory. That is, the Seiberg-Witten condition has a similar status to the one conjectured to hold for "quantum Censorship".…”
Section: Quantum Censorship I: Seiberg-witten Criterionmentioning
confidence: 99%