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Intersecting D-branes and Lifshitz-like space-time
High Energy Physics - Theory · Submitted 22 Apr 2012
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this paper we show that similar structures also arise from the near horizon limit of 1/4 BPS, threshold intersecting D-brane solutions of type II string theories.
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The abstract, sentence by sentence
In a previous paper (Dey and Roy, arXiv:1203.5381) we have shown how Lifshitz-like space-times (space-times having Lifshitz scaling with hyperscaling violation) arise from 1/4 BPS, threshold F-D$p$ bound state solutions of type II string theories in the near horizon limit. In this paper we show that similar structures also arise from the near horizon limit of 1/4 BPS, threshold intersecting D-brane solutions of type II string theories. Some of these solutions are standard (D$p$-D($p+4$) for $p=0, 2$) and some are non-standard (D$p$-D($p+2)$ for $p = 1, 2, 3$) including D2-D2$'$, D3-D3$'$ and D4-D4$'$ solutions. The dilatons of these solutions in general run (except in D2-D4 and D3-D3$'$ cases) and produce RG flows. We discuss the phase structures of these solutions. D2-D4 and D3-D3$'$ in the near horizon limit do not produce Lifshitz-like space-time, but give AdS$_3$ spaces.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | In a previous paper (Dey and Roy, arXiv:1203.5381) we have shown how Lifshitz-like space-times (space-times having Lifshitz scaling with hyperscaling violation) arise from 1/4 BPS, threshold F-D$p$ bound state solutions of type II string theories in the near horizon limit. | background 1.00 | 0.42 | 0.04 | asserted 1.00 |
| s1 | In this paper we show that similar structures also arise from the near horizon limit of 1/4 BPS, threshold intersecting D-brane solutions of type II string theories. | contribution 0.90 | 0.94 | 0.86 | asserted 1.00 |
| s2 | Some of these solutions are standard (D$p$-D($p+4$) for $p=0, 2$) and some are non-standard (D$p$-D($p+2)$ for $p = 1, 2, 3$) including D2-D2$'$, D3-D3$'$ and D4-D4$'$ solutions. | contribution 0.85 | 0.75 | 0.10 | asserted 1.00 |
| s3 | The dilatons of these solutions in general run (except in D2-D4 and D3-D3$'$ cases) and produce RG flows. | result 0.93 | 0.84 | 0.05 | asserted 1.00 |
| s4 | We discuss the phase structures of these solutions. | contribution 0.99 | 0.86 | 0.04 | asserted 0.56 |
| s5 | D2-D4 and D3-D3$'$ in the near horizon limit do not produce Lifshitz-like space-time, but give AdS$_3$ spaces. | result 0.96 | 0.88 | 0.11 | asserted 1.00 |
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The paper
Original abstract
In a previous paper (Dey and Roy, arXiv:1203.5381) we have shown how Lifshitz-like space-times (space-times having Lifshitz scaling with hyperscaling violation) arise from 1/4 BPS, threshold F-D$p$ bound state solutions of type II string theories in the near horizon limit. In this paper we show that similar structures also arise from the near horizon limit of 1/4 BPS, threshold intersecting D-brane solutions of type II string theories. Some of these solutions are standard (D$p$-D($p+4$) for $p=0, 2$) and some are non-standard (D$p$-D($p+2)$ for $p = 1, 2, 3$) including D2-D2$'$, D3-D3$'$ and D4-D4$'$ solutions. The dilatons of these solutions in general run (except in D2-D4 and D3-D3$'$ cases) and produce RG flows. We discuss the phase structures of these solutions. D2-D4 and D3-D3$'$ in the near horizon limit do not produce Lifshitz-like space-time, but give AdS$_3$ spaces.
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References
How the literature uses it
21 arXiv papers cite this in 31 sentences
Papers citing it · 21 sentences without a confident label
Compares with it 1 paper
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In fact we notice that the above solution is nothing but the near horizon limit of D0-D4 solution discussed in [ref] .
From AdS to Schr\"odinger/Lifshitz dual space-times without or with hyperscaling violation · M5-brane · 0.95
Cites it as background 9 papers
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Among them the ones which yield AdS$_3$ (AdS$_2$ is excluded as we mentioned) geometry are M2 $⊥$ M5 and M5 $⊥$ M5 $⊥$ M5 [ref] of M-theory and D1 $⊥$ D5, D2 $⊥$ D4, D3 $⊥$ D3 and F $⊥$ NS5 [ref] of type II string theories (the solutions involving triple intersections of string theory branes are not known explicitly and even if they give AdS geometry, they will either give AdS$_3$ or AdS$_2$ similar to the solutions involving double intersections and therefore we will not consider them here to avoid repetitions).
From AdS to Schr\"odinger/Lifshitz dual space-times without or with hyperscaling violation · Introduction · 0.81
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By now there exist various holographic dual models for critical points involving Lifschitz scaling and hyperscaling violation [ref] .
Holographic thermalization with Lifshitz scaling and hyperscaling violation · Introduction · 0.97
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For example, see [ref] for discussions on how black hole no-hair theorems can be violated in AdS space in the context of holographic superconductivity; [ref] for discussions of how emergent horizons with properties reflecting dynamical scaling in the dual field theory (“Lifshitz solutions") can arise; and [ref] for discussions of horizons exhibiting both dynamical scaling and hyperscaling violation.[Embeddings of such solutions in string theory have also been discussed in many papers, such as [ref] .] The earliest work mostly focused on horizons with translational and rotational symmetry, but more recently examples of black brane horizons dual to field theories with further reduced space-time symmetries have been discussed in e.g. [ref] .
Interpolating from Bianchi Attractors to Lifshitz and AdS Spacetimes · Introduction · 0.89
What it cites · 26 sentences without a confident label
Cites as background 2 papers
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This case along with its S-dual version have already been discussed in [ref] and so we will not repeat it here.
Lifshitz-like space-time from intersecting branes in string/M theory · D1-D3 case · 0.95
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Lifshitz scaling symmetry, a nonrelativistic symmetry, arises as a possible symmetry in some condensed matter systems at the quantum critical point [ref] .
The quantum phases of matter · Introduction · 1.00
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