Tensor hierarchies, Borcherds algebras and E 11

Palmkvist, Jakob

doi:10.1007/jhep02(2012)066

Cited by 32 publications

(51 citation statements)

References 53 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Up to an arbitrary level p the representations can be also obtained from a level decomposition of the Kac-Moody algebra E n+p [3,[10][11][12]. This generalises results for E 11 , which as a special case contains the form spectrum up to p = D [13][14][15].…”

Section: Jhep08(2015)036mentioning

confidence: 54%

Superalgebras, constraints and partition functions

Cederwall

Palmkvist

2015

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We consider Borcherds superalgebras obtained from semisimple finite-dimensional Lie algebras by adding an odd null root to the simple roots. The additional Serre relations can be expressed in a covariant way. The spectrum of generators at positive levels are associated to partition functions for a certain set of constrained bosonic variables, the constraints on which are complementary to the Serre relations in the symmetric product. We give some examples, focusing on superalgebras related to pure spinors, exceptional geometry and tensor hierarchies, of how construction of the content of the algebra at arbitrary levels is simplified.

show abstract

Section: Jhep08(2015)036mentioning

confidence: 54%

Superalgebras, constraints and partition functions

Cederwall

Palmkvist

2015

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

show abstract

“…Note that this does not fit into the usual tensor hierarchy discussion [65][66][67][68] and this is why we do not denote it by ∧. It is also convenient to define…”

Section: Generalised Differential Formsmentioning

confidence: 99%

Half‐Maximal Supersymmetry from Exceptional Field Theory

Malek

2017

Fortschritte der Physik

168

View full text Add to dashboard Cite

We study D ≥ 4-dimensional half-maximal flux backgrounds using exceptional field theory. We define the relevant generalised structures and also find the integrability conditions which give warped half-maximal Minkowski D and AdS D vacua. We then show how to obtain consistent truncations of type II / 11-dimensional SUGRA which break half the supersymmetry. Such truncations can be defined on backgrounds admitting exceptional generalised SO(d−1−N ) structures, where d = 11−D, and N is the number of vector multiplets obtained in the lower-dimensional theory. Our procedure yields the most general embedding tensors satisfying the linear constraint of half-maximal gauged SUGRA. We use this to prove that all D ≥ 4 half-maximal warped AdS D and Minkowski D vacua of type II / 11-dimensional SUGRA admit a consistent truncation keeping only the gravitational supermultiplet. We also show to obtain heterotic double field theory from exceptional field theory and comment on the M-theory / heterotic duality. In five dimensions, we find a new SO(5, N ) double field theory with a (6 + N )-dimensional extended space. Its section condition has one solution corresponding to 10-dimensional N = 1 supergravity and another yielding six-dimensional N = (2, 0) SUGRA.

show abstract

“…The correspondence between B n and e 11 has been studied in [25,36], and generalized to other Borcherds superalgebras and Kac-Moody algebras in [29,37].…”

Section: Jhep11(2015)032mentioning

confidence: 99%

Exceptional geometry and Borcherds superalgebras

Palmkvist

2015

J. High Energ. Phys.

Self Cite

View full text Add to dashboard Cite

We study generalized diffeomorphisms in exceptional geometry with U-duality group E npnq from an algebraic point of view. By extending the Lie algebra e n to an infinitedimensional Borcherds superalgebra, involving also the extension to e n`1 , the generalized Lie derivatives can be expressed in a simple way, and the expressions take the same form for any n ď 7. The closure of the transformations then follows from the Jacobi identity and the grading of e n`1 with respect to e n .

show abstract

Tensor hierarchies, Borcherds algebras and E 11

Cited by 32 publications

References 53 publications

Superalgebras, constraints and partition functions

Superalgebras, constraints and partition functions

Half‐Maximal Supersymmetry from Exceptional Field Theory

Exceptional geometry and Borcherds superalgebras

Contact Info

Product

Resources

About