p-Brane Actions and Higher Roytenberg Brackets

Branislav Jurco; Jan Vysoky; Peter Schupp

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p-Brane Actions and Higher Roytenberg Brackets

Branislav Jurco, Peter Schupp, Jan Vysoky

High Energy Physics - Theory · Submitted 5 Nov 2012

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

The authors' main claim We find that higher generalizations of the algebraic structures due to Dorfman, Roytenberg and Courant play an important role and establish their relation to Nambu-Poisson structures.

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Motivated by the quest to understand the analog of non-geometric flux compactification in the context of M-theory, we study higher dimensional analogs of generalized Poisson sigma models and corresponding dual string and p-brane models. We find that higher generalizations of the algebraic structures due to Dorfman, Roytenberg and Courant play an important role and establish their relation to Nambu-Poisson structures.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	Motivated by the quest to understand the analog of non-geometric flux compactification in the context of M-theory, we study higher dimensional analogs of generalized Poisson sigma models and corresponding dual string and p-brane models.	contribution 0.83	0.61	0.07	asserted 0.61
s1	We find that higher generalizations of the algebraic structures due to Dorfman, Roytenberg and Courant play an important role and establish their relation to Nambu-Poisson structures.	result 0.97	0.92	0.61	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.93.

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Original abstract

Motivated by the quest to understand the analog of non-geometric flux compactification in the context of M-theory, we study higher dimensional analogs of generalized Poisson sigma models and corresponding dual string and p-brane models. We find that higher generalizations of the algebraic structures due to Dorfman, Roytenberg and Courant play an important role and establish their relation to Nambu-Poisson structures.

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4 arXiv papers cite this in 6 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 · 3 sentences without a confident label

Compares with it 1 paper

It will also be interesting to make contact with the charge algebra of Jurčo, Schupp, and Vysoký [ref] , which appears to involve a different choice of Q-structure and anchor map to all of the examples considered here.

Brane current algebras and generalised geometry from QP manifolds · Examples · 0.96

Cites it as support 1 paper

Nevertheless, the hamiltonian constraint does apparently have a universal expression[See [ref] for the M2 and M5, and [ref] for a more exotic example.

Brane current algebras and generalised geometry from QP manifolds · The hamiltonian constraint · 0.97

Cites it as background 1 paper

For the detailed treatment of Nambu sigma models see [ref] .

Extended generalized geometry and a DBI-type effective action for branes ending on branes · Nambu sigma model · 0.99

What it cites · 20 sentences without a confident label

Builds on 2 papers

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] .

Nambu-Sigma model and effective membrane actions · Nambu sigma model and $p$-brane action · 0.84
We have been let to a set of partial differential equations that generalize the ones found by Halmagyi in [ref] .

Non-geometric String Backgrounds and Worldsheet Algebras · Conclusion · 0.93

Uses the method or tool of 2 papers

This can be done in a straightforward manner; however it is easier to use the results of [ref] : With $Q̃_f(V+ξ)$ defined as [equation] the Poisson bracket is [equation] where $[·,·]_D$ is the higher Dorfman bracket ([ref]) and $·,·$ is the pairing ([ref]).

Courant-like brackets and loop spaces · Charge algebra · 0.95
We shall use the Lagrangian formalism this time and follow essentially the classic approach of Wess, Zumino, and Witten [ref] , adapted to the twisted Poisson sigma model by Halmagyi in [ref] .

Non-geometric Backgrounds and the First Order String Sigma Model · Generalized Wess-Zumino terms · 0.88

Compares with 1 paper

For $p=1$ we get exactly the structure functions of [ref] .

Non-geometric Backgrounds and the First Order String Sigma Model · Higher Roytenberg bracket · 0.93

Cites as support 1 paper

Evidence for the latter choice comes from the study of actions for multiple membranes in M-theory [ref] , see [ref] for a recent review and many references.

Multiple Membranes in M-theory · Introduction · 0.97

Cites as background 8 papers

In this section we review the Nambu sigma model following [ref] , compute the corresponding Hamiltonian and remark on the dual $p$-brane action.

Nambu-Sigma model and effective membrane actions · Nambu sigma model and $p$-brane action · 0.84
In this section we review the Nambu sigma model following [ref] , compute the corresponding Hamiltonian and remark on the dual $p$-brane action.

Nambu Sigma Model and Branes · Nambu sigma model and $p$-brane action · 0.84
The name “Roytenberg bracket” was introduced by Halmagyi [ref] , since the bracket was originally introduced by Roytenberg in [ref] .

Non-geometric String Backgrounds and Worldsheet Algebras · Higher Roytenberg bracket · 0.98

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