RECORD
A geometric formulation of exceptional field theory
High Energy Physics - Theory · Submitted 2 May 2016
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We formulate the full bosonic SL(5) exceptional field theory in a coordinate-invariant manner.
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
The abstract, sentence by sentence
We formulate the full bosonic SL(5) exceptional field theory in a coordinate-invariant manner. Thereby we interpret the 10-dimensional extended space as a manifold with $\mathrm{SL}(5)\times\mathbb{R}^+$-structure. We show that the algebra of generalised diffeomorphisms closes subject to a set of closure constraints which are reminiscent of the quadratic and linear constraints of maximal seven-dimensional gauged supergravities, as well as the section condition. We construct an action for the full bosonic SL(5) exceptional field theory, even when the $\mathrm{SL}(5)\times\mathbb{R}^+$-structure is not locally flat.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We formulate the full bosonic SL(5) exceptional field theory in a coordinate-invariant manner. | contribution 1.00 | 0.96 | 0.38 | asserted 1.00 |
| s1 | Thereby we interpret the 10-dimensional extended space as a manifold with $\mathrm{SL}(5)\times\mathbb{R}^+$-structure. | interpretation 0.94 | 0.90 | 0.16 | asserted 1.00 |
| s2 | We show that the algebra of generalised diffeomorphisms closes subject to a set of closure constraints which are reminiscent of the quadratic and linear constraints of maximal seven-dimensional gauged supergravities, as well as the section condition. | result 0.89 | 0.94 | 0.25 | asserted 1.00 |
| s3 | We construct an action for the full bosonic SL(5) exceptional field theory, even when the $\mathrm{SL}(5)\times\mathbb{R}^+$-structure is not locally flat. | contribution 0.96 | 0.96 | 0.26 | asserted 1.00 |
What was examined, and what was not
- arXiv listing abstract v1
- full text
- figures and tables
- references and citing sentences
- relations to other papers
- P abstract
- S sections
- T body sentences
- C citations
- R cross-paper relations
The paper
Original abstract
We formulate the full bosonic SL(5) exceptional field theory in a coordinate-invariant manner. Thereby we interpret the 10-dimensional extended space as a manifold with $\mathrm{SL}(5)\times\mathbb{R}^+$-structure. We show that the algebra of generalised diffeomorphisms closes subject to a set of closure constraints which are reminiscent of the quadratic and linear constraints of maximal seven-dimensional gauged supergravities, as well as the section condition. We construct an action for the full bosonic SL(5) exceptional field theory, even when the $\mathrm{SL}(5)\times\mathbb{R}^+$-structure is not locally flat.
Human review
References
How the literature uses it
9 arXiv papers cite this in 27 sentences
Papers citing it · 18 sentences without a confident label
Builds on it 1 paper
-
In this chapter, we want to generalize the concepts known from Double Field Theory on group manifolds [ref] [ref] to geometric Exceptional Field Theory (gEFT) [ref] by making the U-Duality groups manifest.
Advancements in Double & Exceptional Field Theory on Group Manifolds · Solvable Lie algebras · 0.96
Uses its method or tool 1 paper
-
It is based on geometric Exceptional Field Theory (gEFT) introduced in [ref] .
Generalized Parallelizable Spaces from Exceptional Field Theory · Introduction and Summary · 0.89
Compares with it 2 papers
-
For this particular U-duality group, the constraints found agree with the ones in [ref] .
Generalized Parallelizable Spaces from Exceptional Field Theory · Generalized Diffeomorphisms on Group Manifolds · 1.00
-
This question is tackled from a slightly different point of view than [ref] .
Advancements in Double & Exceptional Field Theory on Group Manifolds · Outline and Summary · 0.97
Cites it as background 2 papers
-
For these gauge fields one can introduce field strengths, $F_μν$, $H_μνρ$, …, and we refer to [ref] for further details.
Half-maximal supersymmetry from exceptional field theory · Review of exceptional field theory · 0.96
-
To date, finite diffeomorphisms in DFT/EFT have not understood clearly [ref] .
Homogeneous Yang-Baxter deformations as generalized diffeomorphisms · Introduction · 0.89
What it cites · 88 sentences without a confident label
Builds on 8 papers
-
That is, the arguments and formulae in [ref] hold, subject to the modification of the generalised Lie derivative [ref] and the nilpotent derivative [ref].
Tensor Hierarchy and Generalized Cartan Calculus in SL(3)$\times$SL(2) Exceptional Field Theory · Tensor Hierarchy · 0.82
-
That is, the arguments and formulae in [ref] hold, subject to the modification of the generalised Lie derivative [ref] and the nilpotent derivative [ref].
Generalized Cartan Calculus in general dimension · Tensor Hierarchy · 0.82
-
We now wish to construct the analogue of the topological term of EFT [ref] which reduces in the locally flat case to the topological term of seven-dimensional maximal gauged SUGRA [ref] .
The maximal D=7 supergravities · Topological Term · 0.82
Uses the method or tool of 7 papers
-
We will use a Weitzenböck-like connection [equation] and derive $V_1$ in terms of the generalised torsion of this connection, mirroring the construction in [ref] .[This is related to the flux formulation of DFT and EFT but is different to the construction used in [ref] .] The generalised torsion is defined as [equation] where $_ab$ is an irrep of the generalised torsion.
The O_{D,D} Geometry of String Theory · Scalar potential · 0.80
-
We will use a Weitzenböck-like connection [equation] and derive $V_1$ in terms of the generalised torsion of this connection, mirroring the construction in [ref] .[This is related to the flux formulation of DFT and EFT but is different to the construction used in [ref] .] The generalised torsion is defined as [equation] where $_ab$ is an irrep of the generalised torsion.
Geometry and fluxes of SL(5) exceptional field theory · Scalar potential · 0.80
-
We will use a Weitzenböck-like connection [equation] and derive $V_1$ in terms of the generalised torsion of this connection, mirroring the construction in [ref] .[This is related to the flux formulation of DFT and EFT but is different to the construction used in [ref] .] The generalised torsion is defined as [equation] where $_ab$ is an irrep of the generalised torsion.
Flux Formulation of DFT on Group Manifolds and Generalized Scherk-Schwarz Compactifications · Scalar potential · 0.80
Compares with 12 papers
-
The first two lines in [ref] reduce immediately to the $$ EFT action of [ref] when the covariant derivatives are replaced by partial derivatives, while the final line represents a non-minimal modification in the case of fluxes, just as in $$ [ref] .
Exceptional field theory: $SL(5)$ · Scalar potential · 1.00
-
The first two lines in [ref] reduce immediately to the $$ EFT action of [ref] when the covariant derivatives are replaced by partial derivatives, while the final line represents a non-minimal modification in the case of fluxes, just as in $$ [ref] .
Double Field Theory on Group Manifolds · Scalar potential · 1.00
-
The first two lines in [ref] reduce immediately to the $$ EFT action of [ref] when the covariant derivatives are replaced by partial derivatives, while the final line represents a non-minimal modification in the case of fluxes, just as in $$ [ref] .
Generalized Metric Formulation of Double Field Theory on Group Manifolds · Scalar potential · 1.00
Cites as support 1 paper
-
Also, as argued in [ref] , when the $$-structure is not locally flat, the theory is not background dependent.
Perturbative Double Field Theory on General Backgrounds · Discussion · 0.99
Cites as background 24 papers
-
Apart from the potential, the various terms appearing in the action [ref] are very similar to the usual EFT construction, see for example the original discussion in [ref] and the specific example of $$ in [ref] , and so we will keep their discussion brief.
Exceptional field theory: $SL(5)$ · The action · 0.90
-
Apart from the potential, the various terms appearing in the action [ref] are very similar to the usual EFT construction, see for example the original discussion in [ref] and the specific example of $$ in [ref] , and so we will keep their discussion brief.
Exceptional Field Theory I: $E_{6(6)}$ covariant Form of M-Theory and Type IIB · The action · 0.90
-
Double field theory (DFT) [ref] has grown out of a desire to better understand T-duality by using a formalism in which it is made manifest [ref] .
Double Field Theory · Introduction · 0.99
Discussion
Know something about this paper? Leave a comment, or highlight any passage above to comment on it.