Critical fields on the M5-brane and noncommutative open strings

D. S. Berman; E. Bergshoeff; J. P. van der Schaar; P. Sundell

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Critical fields on the M5-brane and noncommutative open strings

E. Bergshoeff, D. S. Berman, J. P. van der Schaar, P. Sundell

High Energy Physics - Theory · Submitted 15 Jun 2000

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

The authors' main claim We show that this limit on the M5-brane reduces to the noncommutative open string limit on the D4-brane.

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arXiv IDhep-th/0006112 (version 2)

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CitationD. S. Berman, E. Bergshoeff, J. P. van der Schaar, P. Sundell. "Critical fields on the M5-brane and noncommutative open strings." arXiv:hep-th/0006112 (2000). https://pith.science/paper/DPGMEJX4

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The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 4,926 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.09 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.04 · compares with prior results 0.23 · mentions code or data availability 0.01.

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arXiv listing abstract v2. Results and the main claim are underlined; show every role.

The M5-brane is investigated near critical field-strength. We show that this limit on the M5-brane reduces to the noncommutative open string limit on the D4-brane. The reduction on a two-torus leads to both the noncommutative open string limit and the noncommutative Yang-Mills limit on the D3-brane. The decoupled noncommutative five-brane is identified with the strong coupling limit of the noncommutative open string theory on the D4-brane and S-duality on the noncommutative D3-brane is identified with a modular transformation on the five-brane. We argue that the open membrane metric defines a finite length scale on the worldvolume of the M5-brane in the decoupling limit. This length scale can be associated to the effective length scale of an open membrane.

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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	The M5-brane is investigated near critical field-strength.	contribution 0.64	0.67	0.05	asserted 0.91
s1	We show that this limit on the M5-brane reduces to the noncommutative open string limit on the D4-brane.	result 0.97	0.91	0.50	asserted 1.00
s2	The reduction on a two-torus leads to both the noncommutative open string limit and the noncommutative Yang-Mills limit on the D3-brane.	result 0.98	0.83	0.18	asserted 1.00
s3	The decoupled noncommutative five-brane is identified with the strong coupling limit of the noncommutative open string theory on the D4-brane and S-duality on the noncommutative D3-brane is identified with a modular transformation on the five-brane.	result 0.75	0.79	0.23	asserted 1.00
s4	We argue that the open membrane metric defines a finite length scale on the worldvolume of the M5-brane in the decoupling limit.	result 0.71	0.80	0.23	asserted 0.61
s5	This length scale can be associated to the effective length scale of an open membrane.	interpretation 0.98	0.57	0.09	hedged possibility 0.78

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.77.

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arXiv listing abstract v2

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full text
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P abstract

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T body sentences
C citations
R cross-paper relations

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The paper

Original abstract

The M5-brane is investigated near critical field-strength. We show that this limit on the M5-brane reduces to the noncommutative open string limit on the D4-brane. The reduction on a two-torus leads to both the noncommutative open string limit and the noncommutative Yang-Mills limit on the D3-brane. The decoupled noncommutative five-brane is identified with the strong coupling limit of the noncommutative open string theory on the D4-brane and S-duality on the noncommutative D3-brane is identified with a modular transformation on the five-brane. We argue that the open membrane metric defines a finite length scale on the worldvolume of the M5-brane in the decoupling limit. This length scale can be associated to the effective length scale of an open membrane.

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References

Forward citations

Cited by 8 Pith papers

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

IIA/B, Wound and Wrapped
hep-th 2000-09 accept novelty 7.0 of 10

The NCOS limit of IIA/B string theory exists without D-branes and produces a Wound String Theory that unifies all p+1 NCOS, OM, and ODp theories as states of a single framework.
Non-Relativistic Closed String Theory
hep-th 2000-09 conditional novelty 7.0 of 10

A decoupling limit of ordinary string theory in a near-critical two-form background yields a consistent, non-gravitational closed string theory with Galilean symmetry, whose strong-coupling dual is an eleven-dimension...
Dipoles, Twists and Noncommutative Gauge Theory
hep-th 2000-08 accept novelty 7.0 of 10

T-duality of noncommutative gauge theories extends to twisted boundary conditions, and the dual theory contains nonlocal dipole fields of fixed length that mix with the twists under SO(d,d,Z).
Newtonian Gravitons and D-brane Collective Coordinates in Wound String Theory
hep-th 2000-12 conditional novelty 6.0 of 10

Wound string theory retains zero-winding strings, including a graviton, that mediate instantaneous Newtonian forces but are negligible as asymptotic states, and that also provide collective coordinates for transverse ...
Instabilities of Black Strings and Branes
hep-th 2007-01 accept novelty 3.0 of 10

A 2007 review that consolidates the Gregory-Laflamme instability of neutral black strings, its Kaluza-Klein phase diagram, its boost/U-duality lift to charged smeared branes, and its thermodynamic and holographic cons...

Show 3 more citing papers

Aspects of Nonrelativistic Strings
hep-th 2022-02 accept novelty 1.0 of 10

Nonrelativistic string theory is presented as a self-contained, unitary, UV-complete corner of string theory linked by T-duality to the DLCQ of relativistic strings and to torsional string Newton-Cartan geometry.
Brane Effective Actions, Kappa-Symmetry and Applications
hep-th 2011-10 accept novelty 1.0 of 10

The review synthesizes how kappa symmetry and worldvolume diffeomorphisms determine single-brane effective actions, supersymmetric solitons, and probe-based AdS/CFT applications.
M-theory branes and their interactions
hep-th 2007-10 accept novelty 1.0 of 10

The review argues that supergravity, anomaly, and fuzzy-funnel approaches collectively point to N^{3/2} membrane and N^3 five-brane degrees of freedom, while the microscopic theory remains unknown.

How the literature uses it

10 arXiv papers cite this in 13 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 · 8 sentences without a confident label

Uses its method or tool 1 paper

To circumvent this difficulties in [ref] an elegant approach has been suggested: i) impose a special decoupling limit to freeze out bulk modes keeping the M5-brane world-volume theory non-degenerate, ii) using primary constraint of the resulting theory to construct a Dirac bracket, that actually encodes loop non-commutativity of the boundary fields.

Integrability structures in string theory · Open membranes and loop variables · 0.95

Cites it as background 4 papers

At the time when uplift of open string theory in a constant $B$-field background to M-theory was studied, the “open membrane metric" as the M-theory analogue of open string metric [ref] has been proposed.

More on the Nambu-Poisson M5-brane Theory: Scaling limit, background independence and an all order solution to the Seiberg-Witten map · Background independence of NP M5-brane theory and open membrane metric · 0.97
Despite difficulties defining noncommutativity for membranes [ref] , it turns out that the required map or transformation already exists in the literature [ref] as a frame change in ExFT between geometric and non-geometric frames (see [ref] for the $d=10$ case), but its possible application to integrable deformations had been overlooked.

Tri-vector deformations in $d=11$ supergravity · Introduction · 0.81
The strongly coupled description then corresponds to the so-called OM theory [ref] , describing the decoupled M5-brane dynamics in the presence of a critical 3-form potential.

Ascending the attractor flow in the D1-D5 system · Degeneration and decoupled six-dimensional string theories · 0.80

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