Kac-Moody symmetries of IIB supergravity

By Igor Schnakenburg, P. West. 2001

188 citations recorded by the source corpus.

Abstract We formulate the bosonic sector of IIB supergravity as a non-linear realisation. We show that this non-linear realisation contains the Borel subalgebras of SL (11) and E 7 and argue that it can be enlarged so as to be based on the rank eleven Kac–Moody algebra E 11 .

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/a3fb9d352509c04addc1368c97324da828e3413b

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Citations in the corpus

Duality invariant actions and generalised geometry (2011, background): “3 A review of E11 and its first fundamental representation and their non-linear realisation In this section, we will review previous work on the original E11 conjecture [1]: its application to ten [1, 20, 47] and lower dimensions [4, 21, 22, 23, 24]; the development of E11 as an algebra [48, 49]; it”
E(11) and the Embedding Tensor (2007, background): “For some time now it has been conjectured that the inﬁnite-dimensional algebra of E 11 is the underlying symmetry of eleven-dimensional supergravity or M-theory [1 – 3].”
The E-11 origin of all maximal supergravities (2007, background): “Before proceeding to analyse the lower dimensional cases, it is important to notice that the E11 symmetry is compatible with a different 10-dimensional background, corresponding to type-IIB supergravity [26], describing in the bosonic sector the metric, two scalars”
Gauged Supergravities, Tensor Hierarchies, and M-Theory (2008, unknown): “As an example gauged maximal supergravity in three spacetime dimensions is presented in a version where all possible tensor fields appear.”
Very extended E-8 and A(8) at low levels, gravity and supergravity (2002, background): “It had previously been found [9] that the whole of the bosonic sector of eleven dimensional supergravity including its gravitational sector was a non-linear realisation.”
Cosmological Billiards (2002, background): “The relevance of nonlinear σ -models for uncovering the symmetries of M-theory has also been discussed from a different, spacetime-covariant point of view in [96, 97, 101], but there it is E11 rather than E10 that has been proposed as a fundamental symmetry.”
Very extended Kac Moody algebras and their interpretation at low levels (2003, background): “More details on the higher levels for the IIA and IIB decompositions can be found in appendix A.1.”