The massless irreducible representation in E theory and how bosons can appear as spinors

Glennon, Keith; West, Peter

doi:10.1142/s0217751x21500962

Cited by 3 publications

(1 citation statement)

References 28 publications

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“…For a review, see [5]. As such, it contains the metric of gravity and the three form in eleven dimensions and there are very good reasons to believe that these are the only degrees of freedom that the non-linear realisation possesses [6,7]. However, the non-linear realisation contains an infinite number of fields, of which only a few are the usual fields of the maximal supergravity theories.…”

Section: Introductionmentioning

confidence: 99%

Higher dualisations of linearised gravity and the $$ {A}_1^{+++} $$ algebra

Boulanger

Cook

O’Connor

et al. 2022

J. High Energ. Phys.

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The non-linear realisation based on $$ {A}_1^{+++} $$ A 1 + + + is known to describe gravity in terms of both the graviton and the dual graviton. We extend this analysis at the linearised level to find the equations of motion for the first higher dual description of gravity that it contains. We also give a systematic method for finding the additional fields beyond those in the non-linear realisation that are required to construct actions for all of the possible dual descriptions of gravity in the non-linear realisation. We show that these additional fields are closely correlated with the second fundamental representation of $$ {A}_1^{+++} $$ A 1 + + + .

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Section: Introductionmentioning

confidence: 99%

Higher dualisations of linearised gravity and the $$ {A}_1^{+++} $$ algebra

Boulanger

Cook

O’Connor

et al. 2022

J. High Energ. Phys.

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The string little algebra

Glennon

West

2022

Int. J. Mod. Phys. A

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We consider the string, like point particles and branes, to be an irreducible representation of the semi-direct product of the Cartan involution invariant subalgebra of [Formula: see text] and its vector representation. We show that the subalgebra that preserves the string charges, the string little algebra, is essentially the Borel subalgebra of [Formula: see text]. We also show that the known string physical states carry a representation of parts of this algebra.

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Space–time and large local transformations

West

2023

Int. J. Mod. Phys. A

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Dedicated to the memory of Lars Brink (1943–2022) for his help and friendship over many years In this paper, we argue that the existence of solitons in theories in which local symmetries are spontaneously broken requires space–time to be enlarged by additional coordinates that are associated with large local transformations. In the context of gravity theories, the usual coordinates of space–time can be thought of arising in this way. E theory automatically contains such an enlarged space–time. We propose that space–time appears in an underlying theory when the local symmetries are spontaneously broken.

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The massless irreducible representation in E theory and how bosons can appear as spinors

Cited by 3 publications

References 28 publications

Higher dualisations of linearised gravity and the $$ {A}_1^{+++} $$ algebra

Higher dualisations of linearised gravity and the $$ {A}_1^{+++} $$ algebra

The string little algebra

Space–time and large local transformations

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