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New non-abelian effects on D branes
High Energy Physics - Theory · Submitted 18 Oct 2007
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that, for any finite N, above a certain critical angular momentum is energetically more favorable for the bound state system to dissociate into an abelian configuration of N D0 branes moving independently.
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The abstract, sentence by sentence
We extend the Myers dielectric effect to configurations with angular momentum. The resulting time-dependent N D0 brane bound states can be interpreted as describing rotating fuzzy ellipsoids. A similar solution exists also in the presence of a RR magnetic field, that we study in detail. We show that, for any finite N, above a certain critical angular momentum is energetically more favorable for the bound state system to dissociate into an abelian configuration of N D0 branes moving independently. We have investigated this problem in the low-energy expansion of the non-abelian D brane action for generic N. In the case N=2 we find explicit solutions of the full non-abelian Born-Infeld D brane dynamics, which remarkably have the same structure and confirm the features of the low-energy approximation. We further study D string configurations representing fuzzy funnels deformed by the magnetic field and by the rotational motion.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We extend the Myers dielectric effect to configurations with angular momentum. | contribution 1.00 | 0.94 | 0.05 | asserted 0.99 |
| s1 | The resulting time-dependent N D0 brane bound states can be interpreted as describing rotating fuzzy ellipsoids. | interpretation 0.97 | 0.88 | 0.09 | asserted 0.75 |
| s2 | A similar solution exists also in the presence of a RR magnetic field, that we study in detail. | contribution 0.67 | 0.89 | 0.05 | asserted 0.99 |
| s3 | We show that, for any finite N, above a certain critical angular momentum is energetically more favorable for the bound state system to dissociate into an abelian configuration of N D0 branes moving independently. | result 1.00 | 0.93 | 0.74 | asserted 1.00 |
| s4 | We have investigated this problem in the low-energy expansion of the non-abelian D brane action for generic N. | method 0.86 | 0.94 | 0.04 | asserted 0.99 |
| s5 | In the case N=2 we find explicit solutions of the full non-abelian Born-Infeld D brane dynamics, which remarkably have the same structure and confirm the features of the low-energy approximation. | result 0.67 | 0.97 | 0.07 | asserted 1.00 |
| s6 | We further study D string configurations representing fuzzy funnels deformed by the magnetic field and by the rotational motion. | contribution 1.00 | 0.94 | 0.05 | asserted 0.96 |
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The paper
Original abstract
We extend the Myers dielectric effect to configurations with angular momentum. The resulting time-dependent N D0 brane bound states can be interpreted as describing rotating fuzzy ellipsoids. A similar solution exists also in the presence of a RR magnetic field, that we study in detail. We show that, for any finite N, above a certain critical angular momentum is energetically more favorable for the bound state system to dissociate into an abelian configuration of N D0 branes moving independently. We have investigated this problem in the low-energy expansion of the non-abelian D brane action for generic N. In the case N=2 we find explicit solutions of the full non-abelian Born-Infeld D brane dynamics, which remarkably have the same structure and confirm the features of the low-energy approximation. We further study D string configurations representing fuzzy funnels deformed by the magnetic field and by the rotational motion.
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How the literature uses it
2 arXiv papers cite this in 2 sentences
Papers citing it
Compares with it 1 paper
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(A similar phenomena concerning the maximal angular momentum of nonabelian angular momentum has been observed recently, in a somewhat different context [ref] .)
New BPS Configurations of BMN Matrix Theory · Introduction · 0.81
Cites it as background 1 paper
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The full discussion is intricate and chronicled at length elsewhere (see [ref] for examples in non-trivial backgrounds).
Non-relativistic Matrix Inflation · Matrix cosmology at large $n$ · 0.94
What it cites · 15 sentences without a confident label
Builds on 3 papers
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We will first consider the case of the $N$ D0 brane system, and then show that similar time-dependent solutions exist for the funnel solutions of [ref] .
Non-abelian Brane Intersections · Introduction · 0.80
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We will first consider the case of the $N$ D0 brane system, and then show that similar time-dependent solutions exist for the funnel solutions of [ref] .
The Noncommutative Bion Core · Introduction · 0.80
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We will also turn on an external magnetic RR field, generalizing a study made in [ref] for a single Dp brane moving in an external RR magnetic field to the case of $N$ branes.
Strings and D-branes in a supersymmetric magnetic flux background · Introduction · 1.00
Uses the method or tool of 1 paper
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Here we will use the non-abelian D brane action derived in [ref] .
Dielectric-Branes · Introduction · 0.99
Compares with 4 papers
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The first case with energy $E_(i)$ is the same as the result of [ref] .
Dielectric-Branes · Adding a RR magnetic field · 0.98
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In the particular case $=0$ and $m=h_1=h_2→R̂$ we recover the solution ([ref]) found in [ref] .
Non-abelian Brane Intersections · D-strings and funnels in a magnetic field · 0.83
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In the particular case $=0$ and $m=h_1=h_2→R̂$ we recover the solution ([ref]) found in [ref] .
The Noncommutative Bion Core · D-strings and funnels in a magnetic field · 0.83
Cites as background 7 papers
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For further details we refer to [ref] .
Dielectric-Branes · Introduction · 1.00
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For further details we refer to [ref] .
Nonabelian Phenomena on D-branes · Introduction · 1.00
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When $N$ D branes are put together, a nonabelian $U(N)$ gauge symmetry emerges [ref] .
Bound States Of Strings And $p$-Branes · Introduction · 0.98
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