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A Note on Supersymmetric Type II Solutions of Lifshitz Type
High Energy Physics - Theory · Submitted 24 Feb 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We will show that supersymmetric four-dimensional Poincare' invariant backgrounds in type IIB can descend to analogous solutions with anisotropic scaling in t and (x, y).
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The abstract, sentence by sentence
We discuss a class of supersymmetric type II non-relativistic solutions with exact or asymptotic scale invariance. As already emerged from previous investigations, we find a clear correspondence between anisotropic d-dimensional vacua and relativistic solutions in (d + 1)-dimensions. We will show that supersymmetric four-dimensional Poincare' invariant backgrounds in type IIB can descend to analogous solutions with anisotropic scaling in t and (x, y). This result can be applied to scale invariant theories, domain walls interpolating between four-dimensional Lifshitz vacua and more general solutions with only asymptotic or approximate scaling behaviour.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss a class of supersymmetric type II non-relativistic solutions with exact or asymptotic scale invariance. | contribution 0.97 | 0.82 | 0.17 | asserted 0.91 |
| s1 | As already emerged from previous investigations, we find a clear correspondence between anisotropic d-dimensional vacua and relativistic solutions in (d + 1)-dimensions. | result 0.83 | 0.60 | 0.29 | asserted 1.00 |
| s2 | We will show that supersymmetric four-dimensional Poincare' invariant backgrounds in type IIB can descend to analogous solutions with anisotropic scaling in t and (x, y). | result 0.74 | 0.76 | 0.46 | asserted 0.99 |
| s3 | This result can be applied to scale invariant theories, domain walls interpolating between four-dimensional Lifshitz vacua and more general solutions with only asymptotic or approximate scaling behaviour. | interpretation 0.95 | 0.50 | 0.22 | asserted 0.50 |
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The paper
Original abstract
We discuss a class of supersymmetric type II non-relativistic solutions with exact or asymptotic scale invariance. As already emerged from previous investigations, we find a clear correspondence between anisotropic d-dimensional vacua and relativistic solutions in (d + 1)-dimensions. We will show that supersymmetric four-dimensional Poincare' invariant backgrounds in type IIB can descend to analogous solutions with anisotropic scaling in t and (x, y). This result can be applied to scale invariant theories, domain walls interpolating between four-dimensional Lifshitz vacua and more general solutions with only asymptotic or approximate scaling behaviour.
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References
How the literature uses it
2 arXiv papers cite this in 3 sentences
What it cites · 47 sentences without a confident label
Builds on 1 paper
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In Section 2 we discuss a class of non relativistic solutions of type IIA, including and generalizing [ref] , and we reduce the supersymmetry constraints to those of an auxiliary four-dimensional Poincaré invariant vacuum of type IIB plus a set of algebraic and differential constraints on the fluxes.
Lifshitz Solutions of D=10 and D=11 supergravity · Introduction · 1.00
Uses the method or tool of 3 papers
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In this formalism the supersymmetry conditions are [ref]
Generalized structures of ten-dimensional supersymmetric solutions · Introduction · 0.91
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In order to study non relativistic supersymmetric vacua we will use the formalism of Generalised Complex Geometry [ref] .
math.DG/0209099 · Introduction · 0.99
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In order to study non relativistic supersymmetric vacua we will use the formalism of Generalised Complex Geometry [ref] .
math.DG/0401221 · Introduction · 0.99
Compares with 1 paper
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Not unexpectedly, these contributions are similar to those found in the analysis of four-dimensional vacua in [ref] .
Generalized structures of ten-dimensional supersymmetric solutions · The conditions for supersymmetry · 0.97
Cites as background 11 papers
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Supersymmetric $Lif_4$ solutions based on $AdS_5$ vacua have been discussed in [ref] .
Constructing Lifshitz solutions from AdS · Examples · 0.92
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Supersymmetric $Lif_4$ solutions based on $AdS_5$ vacua have been discussed in [ref] .
From D3-Branes to Lifshitz Space-Times · Examples · 0.92
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Supersymmetric $Lif_4$ solutions based on $AdS_5$ vacua have been discussed in [ref] .
Lifshitz spacetimes from AdS null and cosmological solutions · Examples · 0.92
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