Nambu-Sigma model and effective membrane actions

Branislav Jurco; Peter Schupp

RECORD

Nambu-Sigma model and effective membrane actions

Branislav Jurco, Peter Schupp

High Energy Physics - Theory · Submitted 13 Mar 2012

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

The authors' main claim We propose an effective action for a p'-brane with open p-branes ending on it.

how it is stated · asserted 0.96 read the record →

Comment (0) Read on arXiv ↗

Cite ▾

Claim paper

The compiled record

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.

Open the compiled record

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 3,636 input tokens, $0.0002 reported.

What the abstract itself states, as probabilities: claims first 0.09 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.02 · compares with prior results 0.90 · mentions code or data availability 0.01.

The abstract, sentence by sentence

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

We propose an effective action for a p'-brane with open p-branes ending on it. The action has dual descriptions similar to the commutative and non-commutative ones of the DBI action for D-branes and open strings. The Poisson structure governing the non-commutativity of the D-brane is replaced by a Nambu structure and the open-closed string relations are generalized to the case of p'-branes utilizing a novel Nambu sigma model description of p-branes. In the case of an M5-brane our action interpolates between M5-actions already proposed in the literature and matrix model like actions involving Nambu structures.

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 propose an effective action for a p'-brane with open p-branes ending on it.	contribution 1.00	0.91	0.39	asserted 0.96
s1	The action has dual descriptions similar to the commutative and non-commutative ones of the DBI action for D-branes and open strings.	result 0.44	0.75	0.13	asserted 1.00
s2	The Poisson structure governing the non-commutativity of the D-brane is replaced by a Nambu structure and the open-closed string relations are generalized to the case of p'-branes utilizing a novel Nambu sigma model description of p-branes.	contribution 0.72	0.81	0.42	asserted 1.00
s3	In the case of an M5-brane our action interpolates between M5-actions already proposed in the literature and matrix model like actions involving Nambu structures.	result 0.68	0.78	0.15	asserted 0.99

What kind of paper the classifier reports this is: theoretical result 0.96 · evidence from proof or derivation 0.74.

What was examined, and what was not

sources read

arXiv listing abstract v2

not examined

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

levels run

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 propose an effective action for a p'-brane with open p-branes ending on it. The action has dual descriptions similar to the commutative and non-commutative ones of the DBI action for D-branes and open strings. The Poisson structure governing the non-commutativity of the D-brane is replaced by a Nambu structure and the open-closed string relations are generalized to the case of p'-branes utilizing a novel Nambu sigma model description of p-branes. In the case of an M5-brane our action interpolates between M5-actions already proposed in the literature and matrix model like actions involving Nambu structures.

Human review

How Pith checks papers → · Full audit of this paper →

References

Forward citations

Cited by 2 Pith papers

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

Spheres, generalised parallelisability and consistent truncations
hep-th 2014-01 conditional novelty 7.0 of 10

All round spheres admit generalised parallelisations with an SO(d+1) frame algebra, recasting the exceptional S^3, S^4, S^5 and S^7 consistent truncations as ordinary generalised Scherk-Schwarz reductions.
Membrane Sigma-Models and Quantization of Non-Geometric Flux Backgrounds
hep-th 2012-07 conditional novelty 6.0 of 10

A membrane sigma-model on an R-flux background reduces to a twisted Poisson sigma-model on phase space whose boundary correlators reproduce Kontsevich's nonassociative star product, which also equals a Lie 2-group con...

How the literature uses it

15 arXiv papers cite this in 35 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 · 28 sentences without a confident label

Builds on it 3 papers

More precisely, we intended to extend, clarify and further develop the construction outlined in [ref] that tackles the quest to find an all-order effective action for a system of multiple $p$-branes ending on a $p'$-brane.

Extended generalized geometry and a DBI-type effective action for branes ending on branes · Introduction · 1.00
However, we also explore an elegant extension of the Bousso-Polchinski model based on a generalised form of the DBI action [ref] .

The cosmological constant and the weak gravity conjecture · Introduction · 0.85
The background fields $G,G̃,Π$ can also be expressed in terms of $g,g̃,C$: [equation] [equation] and [equation] The relations between $G,G̃,Π$ and $g,g̃,C$ are higher $p$-brane version [ref] of the well-known open-closed string relations, cf. also [ref] .

p-Brane Actions and Higher Roytenberg Brackets · Nambu sigma model and $p$-brane action · 0.84

Compares with it 1 paper

A Nambu sigma model proposed using AKSZ construction in [ref] is a little bit different from the one defined in [ref] .

Geometry of Membrane Sigma Models · Seiberg-Witten map · 1.00

Cites it as background 2 papers

The generalized DBI action is first proposed in [ref] .

Dimensional Reduction of the Generalized DBI · Generalized DBI · 0.86
In this section we review the Nambu sigma model following [ref] , compute the corresponding Hamiltonian and remark on the dual $p$-brane action.

p-Brane Actions and Higher Roytenberg Brackets · Nambu sigma model and $p$-brane action · 0.84

What it cites · 24 sentences without a confident label

Builds on 2 papers

Nambu sigma model.— Generalizing the well-known Poisson sigma model [ref] to $p>1$, we propose the following Nambu sigma model: [equation] We note the appearance of two types of metrics $G$ and $G̃$, as well as auxiliary fields $η$ and $η̃$.

Two-Dimensional Gravity and Nonlinear Gauge Theory · Introduction · 0.98
Nambu sigma model.— Generalizing the well-known Poisson sigma model [ref] to $p>1$, we propose the following Nambu sigma model: [equation] We note the appearance of two types of metrics $G$ and $G̃$, as well as auxiliary fields $η$ and $η̃$.

Poisson Structure Induced (Topological) Field Theories · Introduction · 0.98

Compares with 2 papers

Among the early approaches, the one closest to ours is the one of [ref] , which uses $κ$-symmetry as guiding principle and features a non-linear self-duality condition.

A Note on Topological M5-branes and String-Fivebrane Duality · Introduction · 0.99
Among the early approaches, the one closest to ours is the one of [ref] , which uses $κ$-symmetry as guiding principle and features a non-linear self-duality condition.

An action for the super-5-brane in D=11 supergravity · Introduction · 0.99

Cites as background 3 papers

For a single D-brane in open superstring theory, the Dirac-Born-Infeld action provides such an effective description valid to all orders [ref] .

Born-Infeld action, supersymmetry and string theory · Introduction · 0.82
For these and alternative formulations, e.g., those of [ref] , based on superspace embedding and $κ$-symmetry, we refer to a recent review [ref] .

Brane Effective Actions, Kappa-Symmetry and Applications · Introduction · 0.99
For these and alternative formulations, e.g., those of [ref] , based on superspace embedding and $κ$-symmetry, we refer to a recent review [ref] .

D=11, p=5 · Introduction · 0.99

Discussion

Know something about this paper? Leave a comment, or highlight any passage above to comment on it.