New BPS Configurations of BMN Matrix Theory

Jens Hoppe (KTH; Ki-Myeong Lee (KIAS; Korea); Sweden)

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New BPS Configurations of BMN Matrix Theory

Jens Hoppe (KTH, Sweden), Ki-Myeong Lee (KIAS, Korea)

High Energy Physics - Theory · Submitted 21 Dec 2007

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim Especially the irreducible nonabelian configurations seem to have the maximal angular momentum of order $N^3$, beyond which they collapse to abelian ones.

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What the abstract itself states, as probabilities: claims first 0.05 · states limitation 0.36 · human participants 0.01 · controlled comparison 0.04 · randomized assignment 0.01 · states quantitative result 0.84 · compares with prior results 0.17 · mentions code or data availability 0.02.

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We explore the 1/2 BPS configurations in BMN matrix theory with SO(3) angular momentum of $SO(3)\times SO(6)$ symmetry. The fluctuation analysis of the BPS configurations near the abelian solutions and also the fuzzy two sphere vacua reveals how nonabelian BPS configurations emerge. Especially the irreducible nonabelian configurations seem to have the maximal angular momentum of order $N^3$, beyond which they collapse to abelian ones. We also find some new BPS configurations explicitly.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We explore the 1/2 BPS configurations in BMN matrix theory with SO(3) angular momentum of $SO(3)\times SO(6)$ symmetry.	contribution 0.96	0.89	0.08	asserted 0.81
s1	The fluctuation analysis of the BPS configurations near the abelian solutions and also the fuzzy two sphere vacua reveals how nonabelian BPS configurations emerge.	method 0.70	0.88	0.13	asserted 0.99
s2	Especially the irreducible nonabelian configurations seem to have the maximal angular momentum of order $N^3$, beyond which they collapse to abelian ones.	result 0.93	0.81	0.45	asserted 0.67
s3	We also find some new BPS configurations explicitly.	result 0.65	0.96	0.15	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00.

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Original abstract

We explore the 1/2 BPS configurations in BMN matrix theory with SO(3) angular momentum of $SO(3)\times SO(6)$ symmetry. The fluctuation analysis of the BPS configurations near the abelian solutions and also the fuzzy two sphere vacua reveals how nonabelian BPS configurations emerge. Especially the irreducible nonabelian configurations seem to have the maximal angular momentum of order $N^3$, beyond which they collapse to abelian ones. We also find some new BPS configurations explicitly.

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References

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5 arXiv papers cite this in 7 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

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Compares with it 1 paper

This ansatz is different to those that have been studied before [ref] (previous works also look for solutions of the BMN and BFSS matrix model where more than three matrices are oscillating [ref] ).

Spinning the Fuzzy Sphere · The Hamiltonian and the Ansatz · 1.00

Cites it as background 3 papers

BPS solutions of various topologies have been studied in [ref] , while many rotating (non-BPS) solutions have been found in [ref] .

M2-brane Dynamics in the Classical Limit of the BMN Matrix Model · Simplest Solutions · 0.95
In [ref] various BPS solutions of varying topologies were found, while spinning non-BPS solutions were spelled out in [ref] .

Turbulent aspects of BMN membrane dynamics · Type III solutions · 0.85
See [ref] for BPS solutions of various topologies and [ref] for other rotating (non-BPS) solutions.

Multipole Stability of Spinning M2-branes in the Classical Limit of the BMN Matrix Model · Introduction · 0.94

What it cites · 17 sentences without a confident label

Uses the method or tool of 2 papers

that were used in [ref] to solve the BPS equation ([ref]).

Nonspherical Giant Gravitons and Matrix Theory · Some Exact BPS Solutions · 0.87
that were used in [ref] to solve the BPS equation ([ref]).

All Higher Genus BPS Membranes in the Plane Wave Background · Some Exact BPS Solutions · 0.87

Compares with 1 paper

(A similar phenomena concerning the maximal angular momentum of nonabelian angular momentum has been observed recently, in a somewhat different context [ref] .)

New non-abelian effects on D branes · Introduction · 0.81

Cites as background 11 papers

The general solutions of the 1/2 BPS equations have been found in the continuum limit in Ref. [ref] .

All Higher Genus BPS Membranes in the Plane Wave Background · Conclusion · 0.86
BMN matrix theory with $U(N)$ gauge group has been proposed as the DLCQ limit of M theory on the 11-dim plane wave background with the maximal supersymmetry [ref] .

Strings in flat space and pp waves from ${\cal N}=4$ Super Yang Mills · Introduction · 0.99
BMN matrix theory and BPS states have been analyzed in detail from the superalgebra analysis and the perturbative approach of the BPS states by expanding the theory around each vacuum in the large $μ$ limit [ref] .

Protected Multiplets of M-Theory on a Plane Wave · Introduction · 0.94

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