Supersymmetric Branes in the Matrix Model of PP Wave Background

Dongsu Bak

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Supersymmetric Branes in the Matrix Model of PP Wave Background

Dongsu Bak

High Energy Physics - Theory · Submitted 3 Apr 2002

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

The authors' main claim We study the spectrum of the worldvolume fields on the hyperbolic branes and show that there are no massless degrees.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.29 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.92 · compares with prior results 0.12 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v4. Results and the main claim are underlined; show every role.

We consider the matrix model associated with pp-wave background and construct supersymmetric branes. In addition to the spherical membrane preserving 16 supersymmetries, one may construct rotating elliptic membranes preserving 8 supersymmetries. The other branch describes rotating 1/8 BPS hyperbolic branes in general. When the angular momentum vanishes in this branch, the hyperbolic brane becomes 1/4 BPS preserving 8 real supersymmetries. It may have the shape of hyperboloid of one or two sheets embedded in the flat three space. We study the spectrum of the worldvolume fields on the hyperbolic branes and show that there are no massless degrees. We also compute the spectrum of the 0-2 strings.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We consider the matrix model associated with pp-wave background and construct supersymmetric branes.	contribution 0.94	0.94	0.10	asserted 0.99
s1	In addition to the spherical membrane preserving 16 supersymmetries, one may construct rotating elliptic membranes preserving 8 supersymmetries.	result 0.78	0.84	0.18	hedged possibility 0.99
s2	The other branch describes rotating 1/8 BPS hyperbolic branes in general.	result 0.62	0.77	0.15	asserted 0.99
s3	When the angular momentum vanishes in this branch, the hyperbolic brane becomes 1/4 BPS preserving 8 real supersymmetries.	result 0.98	0.80	0.12	asserted 0.98
s4	It may have the shape of hyperboloid of one or two sheets embedded in the flat three space.	result 0.88	0.59	0.06	hedged possibility 0.92
s5	We study the spectrum of the worldvolume fields on the hyperbolic branes and show that there are no massless degrees.	result 0.86	0.95	0.25	asserted 1.00
s6	We also compute the spectrum of the 0-2 strings.	contribution 0.85	0.94	0.06	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.99.

What was examined, and what was not

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arXiv listing abstract v4

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full text
figures and tables
references and citing sentences
relations to other papers

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P abstract

not run

S sections
T body sentences
C citations
R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper

Original abstract

We consider the matrix model associated with pp-wave background and construct supersymmetric branes. In addition to the spherical membrane preserving 16 supersymmetries, one may construct rotating elliptic membranes preserving 8 supersymmetries. The other branch describes rotating 1/8 BPS hyperbolic branes in general. When the angular momentum vanishes in this branch, the hyperbolic brane becomes 1/4 BPS preserving 8 real supersymmetries. It may have the shape of hyperboloid of one or two sheets embedded in the flat three space. We study the spectrum of the worldvolume fields on the hyperbolic branes and show that there are no massless degrees. We also compute the spectrum of the 0-2 strings.

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References

Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

Branes in AdS and pp-wave spacetimes
hep-th 2002-04 accept novelty 7.0 of 10

The authors prove that AdS4 x S2 and related AdS brane embeddings preserve 16 supercharges, and classify the supersymmetric D-branes that survive the pp-wave limit.
Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
hep-th 2003-06 accept novelty 6.0 of 10

The plane-wave matrix model is the consistent truncation of N=4 super Yang-Mills on R x S^3 to its lowest Kaluza-Klein multiplet, matching one-loop scaling dimensions but not two-loop ones.
Open Strings from N=4 Super Yang-Mills
hep-th 2002-04 conditional novelty 6.0 of 10

Open strings on spherical D3-branes (giant gravitons) are reconstructed from N=4 super Yang-Mills operators in a Penrose limit, with the leading spectrum matched.
Turbulent aspects of BMN membrane dynamics
hep-th 2024-12 conditional novelty 4.0 of 10

The authors derive leading-order radial and angular stability spectra for two spherical BMN membrane configurations and demonstrate that next-to-leading-order couplings transfer dipole and quadrupole instabilities to ...

How the literature uses it

8 arXiv papers cite this in 11 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

Papers citing it · 6 sentences without a confident label

Cites it as background 4 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
For BMN matrix model, readers are referred to e.g. [ref] for the study of BPS configurations.

M-theory on pp-waves with a holomorphic superpotential and its membrane and matrix descriptions · Discussions · 0.98

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