ar X iv : h ep - t h / 02 05 23 5 v 1 2 3 M ay 2 00 2 hep - th / 0205235 KCL - MTH - 02 - 13 Lifting U - Dualities
نویسنده
چکیده
We present a novel global E7(7) symmetry in five-dimensional maximal supergravity as well as an E8(8) symmetry in d=4. These symmetry groups which are known to be present after reduction to d=4 and d=3, respectively, appear as conformal extensions of the respective well-known hidden-symmetry groups. A global scaling symmetry of the Lagrangian is the key to enhancement of E6(6) to E7(7) in d=5 and E7(7) to E8(8) in d = 4. The group action on the physical fields is induced by conformal transformations in auxiliary spaces M of dimensions 27 and 56, respectively. The construction is analogous to the one where the conformal group of Minkowski space acts on the boundary of AdS5 space. A geometrical picture underlying the action of these “conformal duality groups” is given.
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