Hidden superconformal symmetry in M-theory

By P. West. 2000

178 citations recorded by the source corpus.

The bosonic sectors of the eleven-dimensional and IIA supergravity theories are derived as non-linear realisations. The underlying group includes the conformal group, the general linear group and as well as automorphisms of the supersymmetry algebra. We discuss the supersymmetric extension and argue that Osp(1/64) is a symmetry of M-theory. We also derive the effective action of the closed bosonic string as a non-linear realisation.

Subfields: Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/90fbca9707d7fc6bcd77c9673a7cac43d2b0b9ed

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Citations in the corpus

E11, SL(32) and central charges (2003, methodology): “Finally, in reference [1] it was argued that GL(32) was a symmetry of M theory.”
Kac-Moody symmetries of IIB supergravity (2001, methodology): “[10] might be extended to incorporate such a large algebra by using an alternative formulation of elevendimensional supergravity and increasing the size of the local subgroup.”
Compact and Noncompact Gauged Maximal Supergravities in Three Dimensions (2001, background): “We also note that for the tangent space group we have the embedding SO(1, 2) × SO(16) ⊂ OSp(32), but there is no simple group generalizing GL(11) that would contain GL(3)× E8(8) and yield the right number of (bosonic) physical degrees of freedom upon division by OSp(32) (see, however, [54] for an al”
Duality invariant actions and generalised geometry (2011, methodology): “How to construct such non-linear realisations is illustrated by example in [18, 1] and many of the later papers on E11 even though only the generators of spacetime translations Pa are used.”
Very extended Kac Moody algebras and their interpretation at low levels (2003, methodology): “We will label the decomposition by a pair of nonnegative integers (l1, l2) where l1 corresponds to the entry on the node denoted 11 in the diagram and l2 to the node denoted 10.”
The E-11 origin of all maximal supergravities (2007, background): “This conjecture was inspired by the result [25] that eleven dimensional supergravity itself can be formulated as a non-linear realisation of an algebra and that E11 is the smallest Kac-Moody algebra which contains this algebra.”
Very extended E-8 and A(8) at low levels, gravity and supergravity (2002, background): “Despite these observations it has been widely thought that the exceptional groups found in the dimensional reductions of the maximal supergravity theories can not be symmetries of eleven dimensional supergravity and must arise as a consequence of the dimensional reduction procedure.”