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Hyperscaling violation from supergravity
High Energy Physics - Theory · Submitted 1 May 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Our top-down approach can be viewed as a partial holographic classification of the landscape of strongly coupled, UV complete quantum field theories with hyperscaling violation.
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The abstract, sentence by sentence
In recent applications of AdS/CFT to condensed matter physics, a metric that transforms covariantly under dilatation has been argued to signal hyperscaling violation in a dual quantum field theory. We contextualize and introduce large, in some cases infinite, families of supergravity solutions with this property, focusing on scale covariant generalizations of AdS and Schrodinger spacetimes. These embeddings rely on various aspects of dimensional reduction and flux compactification of eleven-dimensional supergravity. Our top-down approach can be viewed as a partial holographic classification of the landscape of strongly coupled, UV complete quantum field theories with hyperscaling violation.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In recent applications of AdS/CFT to condensed matter physics, a metric that transforms covariantly under dilatation has been argued to signal hyperscaling violation in a dual quantum field theory. | background 1.00 | 0.05 | 0.10 | hedged possibility 0.66 |
| s1 | We contextualize and introduce large, in some cases infinite, families of supergravity solutions with this property, focusing on scale covariant generalizations of AdS and Schrodinger spacetimes. | contribution 1.00 | 0.92 | 0.16 | asserted 0.99 |
| s2 | These embeddings rely on various aspects of dimensional reduction and flux compactification of eleven-dimensional supergravity. | method 0.99 | 0.59 | 0.04 | asserted 0.99 |
| s3 | Our top-down approach can be viewed as a partial holographic classification of the landscape of strongly coupled, UV complete quantum field theories with hyperscaling violation. | interpretation 0.99 | 0.82 | 0.43 | hedged possibility 0.68 |
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The paper
Original abstract
In recent applications of AdS/CFT to condensed matter physics, a metric that transforms covariantly under dilatation has been argued to signal hyperscaling violation in a dual quantum field theory. We contextualize and introduce large, in some cases infinite, families of supergravity solutions with this property, focusing on scale covariant generalizations of AdS and Schrodinger spacetimes. These embeddings rely on various aspects of dimensional reduction and flux compactification of eleven-dimensional supergravity. Our top-down approach can be viewed as a partial holographic classification of the landscape of strongly coupled, UV complete quantum field theories with hyperscaling violation.
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References
How the literature uses it
32 arXiv papers cite this in 38 sentences
Papers citing it · 20 sentences without a confident label
Cites it as background 17 papers
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A variant of such setups where the gravity solution is not only characterized by a dynamical exponent $z$ (as in the Lifshitz case) but also by the so-called hyperscaling violation exponent $θ$, has recently gained some attention [ref] ; some earlier studies include [ref] .
Quantum Fluctuations in Holographic Theories with Hyperscaling Violation · Introduction · 0.93
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As is standard for hyperscaling violating theories, the dual black hole geometry is considered to be valid up to a certain large radius $r_F$, which corresponds to a UV cutoff scale on the boundary, since the dual field theory could have a different UV completion [ref] .
Holographic dictionary for Lifshitz and hyperscaling violating black holes · Introduction · 0.87
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This class of metric is called hyper-scaling violation (HSV) metric and it has been constructed and used in various context [ref] after flurry of activity on Lifshitz metrics [ref] .
New black holes with hyperscaling violation and transports of quantum critical points with magnetic impurity · Introduction · 0.98
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