E11 must be a symmetry of strings and branes

Tumanov, Alexander G.; West, Peter

doi:10.1016/j.physletb.2016.06.011

Cited by 24 publications

(86 citation statements)

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“…The approach of reference [31] focused on finding duality equations which were first order in derivatives and it found the correct equations for the forms which were uniquely determined but there were unresolved issues with the graviton sector. In references [33,34] the invariant second order equations were found, they were unique and when one retained only the low levels fields and the level zero coordinates they were precisely those of eleven dimensional supergravity. This essentially proved the E 11 conjecture.…”

Section: ) As a Results The Rigid And Local Transformations Of The mentioning

confidence: 99%

“…Of course to get the full transformation one must combine the transformations of equation (6.18) The detailed construction of the equations of motion which follow from the E 11 ⊗ s l 1 non-linear realisation was given in reference [34] following earlier results in references [33] and [31]. We refer the reader to this reference and confine ourselves here to stating the result.…”

Section: ) As a Results The Rigid And Local Transformations Of The mentioning

confidence: 99%

“…As a result, the non-linear realisation carried out with these limitations did not lead uniquely to eleven dimensional supergravity and one had to fix several constants whose values were not determined by the calculation. A more systematic approach was taken in references [31,48,33] and [34] where the non-linear realisation of E 11 ⊗ s l 1 at low levels was constructed for the fields up to an including the dual graviton as well as the low level coordinates of the l 1 representation. These references enforced not only the Lorentz group symmetries of I c (E 11 ) but also the much more powerful symmetries at the next levels.…”

Section: ) As a Results The Rigid And Local Transformations Of The mentioning

confidence: 99%

“…The local I c (E 11 ) variations of the Cartan forms are straightforward to compute, using the E 11 algebra and they are given by [31,33,34]…”

Section: ) As a Results The Rigid And Local Transformations Of The mentioning

confidence: 99%

“…As explained above if this index is made into a tangent index, that is, G A,α = (E −1 ) A Π G Π,α it transforms only under the local I c (E 11 ) transformations, the transformation just being that for the inverse vielbein of equation (6.8). One finds that the Cartan forms, when referred to the tangent space, transforms on their l 1 index as [31,33,34] δG a,…”

Section: ) As a Results The Rigid And Local Transformations Of The mentioning

confidence: 99%

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A brief review of E theory

West

2016

Int. J. Mod. Phys. A

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I begin with some memories of Abdus Salam who was my PhD supervisor. After reviewing the theory of non-linear realisations and Kac-Moody algebras, I explain how to construct the non-linear realisation based on the Kac-Moody algebra E 11 and its vector representation. I explain how this field theory leads to dynamical equations which contain an infinite number of fields defined on a spacetime with an infinite number of coordinates. I then show that these unique dynamical equations, when truncated to low level fields and the usual coordinates of spacetime, lead to precisely the equations of motion of eleven dimensional supergravity theory. By taking different group decompositions of E 11 we find all the maximal supergravity theories, including the gauged maximal supergravities, and as a result the non-linear realisation should be thought of as a unified theory that is the low energy effective action for type II strings and branes. These results essentially confirm the E 11 conjecture given many years ago.

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Section: ) As a Results The Rigid And Local Transformations Of The mentioning

confidence: 99%

Section: ) As a Results The Rigid And Local Transformations Of The mentioning

confidence: 99%

Section: ) As a Results The Rigid And Local Transformations Of The mentioning

confidence: 99%

“…The local I c (E 11 ) variations of the Cartan forms are straightforward to compute, using the E 11 algebra and they are given by [31,33,34]…”

Section: ) As a Results The Rigid And Local Transformations Of The mentioning

confidence: 99%

Section: ) As a Results The Rigid And Local Transformations Of The mentioning

confidence: 99%

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A brief review of E theory

West

2016

Int. J. Mod. Phys. A

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Weaving the exotic web

Fernandez-Melgarejo

Kimura

Sakatani

2018

J. High Energ. Phys.

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String and M-theory contain a family of branes forming U -duality multiplets. In particular, standard branes with codimension higher than or equal to two, can be explicitly found as supergravity solutions. However, whether domain-wall branes and space-filling branes can be found as supergravity solutions is still unclear. In this paper, we firstly provide a full list of exotic branes in type II string theory or M-theory compactified to three or higher dimensions. We show how to systematically obtain backgrounds of exotic domain-wall branes and space-filling branes as solutions of the double field theory or the exceptional field theory. Such solutions explicitly depend on the winding coordinates and cannot be given as solutions of the conventional supergravity theories. However, as the domain-wall solutions depend linearly on the winding coordinates, we describe them as solutions of deformed supergravities such as the Romans massive IIA supergravity or lower-dimensional gauged supergravities. We establish explicit relations among the domain-wall branes, the mixed-symmetry potentials, the locally non-geometric fluxes, and deformed supergravities. *

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Exotic branes in Exceptional Field Theory: E7(7) and beyond

Berman

Musaev

Otsuki

2018

J. High Energ. Phys.

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In recent years, it has been widely argued that the duality transformations of string and M-theory naturally imply the existence of so-called 'exotic branes'-low codimension objects with highly nonperturbative tensions, scaling as g α s for α ≤ −3. We argue that their intimate link with these duality transformations make them an ideal object of study using the general framework of Double Field Theory (DFT) and Exceptional Field Theory (EFT)-collectively referred to as ExFT. Parallel to the theme of dualities, we also stress that these theories unify known solutions in string-and M-theory into a single solution under ExFT. We argue that not only is there a natural unifying description of the lowest codimension objects, many of these exotic states require this formalism as a consistent supergravity description does not exist.

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E11 must be a symmetry of strings and branes

Cited by 24 publications

References 40 publications

A brief review of E theory

A brief review of E theory

Weaving the exotic web

Exotic branes in Exceptional Field Theory: E7(7) and beyond

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