A sketch of brane dynamics in seven and eight dimensions using <i>E</i> theory

West, Peter

doi:10.1142/s0217751x18501877

Cited by 5 publications

(6 citation statements)

References 18 publications

(106 reference statements)

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“…The net result should be a wavefunction that depends on the string coordinates and obeys the physical state conditions. These conditions also follow from the string dynamics which can also be constructed from and E 11 viewpoint as a non-linear realisation of I c (E 11 ) ⊗ s l 1 with a suitable local subalgebra [7,27]. This local subalgebra has been found at low levels and it essentially agrees with the string little algebra found in this paper even though the two derivations are very different.…”

Section: Discussionsupporting

confidence: 77%

The string little algebra

Glennon,

West

2022

Preprint

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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 E11 and its vector representation. We show that the subalgebra that preserves the string charges, the string little algebra, is essentially the Borel subalgebra of E9. We also show that the known string physical states carry a representation of parts of this algebra.

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Section: Discussionsupporting

confidence: 77%

The string little algebra

Glennon,

West

2022

Preprint

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“…The integration over ϕ can be converted into an integration over the "momenta" (brane charges) with suitable constraints. We observe that the relations between the group elements are very similar to those that occur in the the non-linear realisation of E 11 ⊗ s l 1 used in the construction of brane dynamics [12], [13] and [14].…”

Section: The Theory Of Irreducible Representations Ofsupporting

confidence: 61%

“…One encouraging sign is that in the usual approach to brane dynamics the embedding coordinates of the brane and the fields describing the world volume fields are very different origins. However, in the approach to brane dynamics in E theory there is a unified approach in that the embedding coordinates and the world volume fields both appear as coordinates that belong to the vector representation, [12,13,14].…”

Section: A Discussion On the Generalised Spacetimementioning

confidence: 99%

“…The different choices of local subalgebra lead to the different branes. However, precisely what the local subalgebra one should take for certain well known branes was deduce in reference [12,13,14] by demanding consistency of the resulting dynamics. However, looking at the results of this paper we see that the local subalgebra one should use in the non-linear realisation to obtain the dynamics of a given branes is essentially just the one that preserves the charges of that brane.…”

Section: Discussionmentioning

confidence: 99%

“…One can also construct brane dynamics from the different view point, namely it can be derived from the E 11 ⊗ s l 1 non-linear realisation [12,13,14]. To do this one constructs the non-linear realisation of E 11 ⊗ s l 1 with a local subalgebra that is a subalgebra of I c (E 11 ).…”

Section: (65)mentioning

confidence: 99%

See 2 more Smart Citations

Irreducible representations of E theory

West

2019

Int. J. Mod. Phys. A

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We construct the E theory analogue of the particles that transform under the Poincare group, that is, the irreducible representations of the semi-direct product of the Cartan involution subalgebra of E 11 with its vector representation. We show that one such irreducible representation has only the degrees of freedom of eleven dimensional supergravity. This representation is most easily discussed in the light cone formalism and we show that the duality relations found in E theory take a particularly simple form in this formalism. We explain that the mysterious symmetries found recently in the light cone formulation of maximal supergravity theories are part of E 11 . We also argue that our familiar spacetimes have to be extended by additional coordinates when considering extended objects such as branes.

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

Glennon

West

2021

Int. J. Mod. Phys. A

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We study in detail the irreducible representation of [Formula: see text] theory that corresponds to massless particles. This has little algebra [Formula: see text] and contains 128 physical states that belong to the spinor representation of [Formula: see text]. These are the degrees of freedom of maximal supergravity in eleven dimensions. This smaller number of the degrees of freedom, compared to what might be expected, is due to an infinite number of duality relations which in turn can be traced to the existence of a subaglebra of [Formula: see text] which forms an ideal and annihilates the representation. We explain how these features are inherited into the covariant theory. We also comment on the remarkable similarity between how the bosons and fermions arise in [Formula: see text] theory.

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A sketch of brane dynamics in seven and eight dimensions using E theory

Abstract: Using the general properties that have emerged from E theory we sketch the generic features of the dynamics of branes in seven and eight dimensions. The dynamical equations are a set of duality equations involving the coordinates of the vector representation of E 11 .

Cited by 5 publications

References 18 publications

The string little algebra

The string little algebra

Irreducible representations of E theory

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

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