E11, brane dynamics and duality symmetries

West, Peter

doi:10.1142/s0217751x1850080x

Cited by 11 publications

(25 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…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%

“…together with the usual commutators for J 0i and J a ′ b ′ . The second commutator in this last equation corrects an error in reference [13]. The next step is to choose an irreducible representation of H and implement section four.…”

mentioning

confidence: 99%

See 4 more Smart Citations

Irreducible representations of E theory

West

2019

Int. J. Mod. Phys. A

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Section: The Theory Of Irreducible Representations Ofsupporting

confidence: 61%

Section: A Discussion On the Generalised Spacetimementioning

confidence: 99%

Section: Discussionmentioning

confidence: 99%

Section: (65)mentioning

confidence: 99%

mentioning

confidence: 99%

See 3 more Smart Citations

Irreducible representations of E theory

West

2019

Int. J. Mod. Phys. A

Self Cite

View full text Add to dashboard Cite

show abstract

Higher spins from exotic dualisations

Boulanger

Lekeu

2021

J. High Energ. Phys.

View full text Add to dashboard Cite

At the free level, a given massless field can be described by an infinite number of different potentials related to each other by dualities. In terms of Young tableaux, dualities replace any number of columns of height hi by columns of height D − 2 − hi, where D is the spacetime dimension: in particular, applying this operation to empty columns gives rise to potentials containing an arbitrary number of groups of D − 2 extra antisymmetric indices. Using the method of parent actions, action principles including these potentials, but also extra fields, can be derived from the usual ones. In this paper, we revisit this off-shell duality and clarify the counting of degrees of freedom and the role of the extra fields. Among others, we consider the examples of the double dual graviton in D = 5 and two cases, one topological and one dynamical, of exotic dualities leading to spin three fields in D = 3.

show abstract

The exceptional sigma model

Arvanitakis¹,

Blair²

2018

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We detail the construction of the exceptional sigma model, which describes a string propagating in the "extended spacetime" of exceptional field theory. This is to U-duality as the doubled sigma model is to T-duality. Symmetry specifies the Weylinvariant Lagrangian uniquely and we show how it reduces to the correct 10-dimensional string Lagrangians. We also consider the inclusion of a Fradkin-Tseytlin (or generalised dilaton) coupling as well as a reformulation with dynamical tension.

show abstract

E11, brane dynamics and duality symmetries

Cited by 11 publications

References 56 publications

Irreducible representations of E theory

Irreducible representations of E theory

Higher spins from exotic dualisations

The exceptional sigma model

Contact Info

Product

Resources

About