AEI-2001-108 hep-th/0109005 The Minimal Unitary Representation of E8(8) ∗
نویسنده
چکیده
We give a new construction of the minimal unitary representation of the exceptional group E 8(8) on a Hilbert space of complex functions in 29 variables. Due to their manifest covariance with respect to the E 7(7) subgroup of E 8(8) our formulas are simpler than previous realizations, and thus well suited for applications in supergravity and superstring theory. One possible application arises in the context of the conformal quantum mechanics description of extremal black holes in maximally extended supergravity.
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We define a level for a large class of Lorentzian Kac-Moody algebras. Using this we find the representation content of very extended A D−3 and E 8 (i.e. E 11) at low levels in terms of A D−1 and A 10 representations respectively. The results are consistent with the conjectured very extended A 8 and E 11 symmetries of gravity and maximal supergravity theories given respectively in hep-th/0104081...
متن کاملKCL-MTH-02-31 hep-th//0212291 Very Extended E8 and A8 at low levels, Gravity and Supergravity
We define a level for a large class of Lorentzian Kac-Moody algebras. Using this we find the representation content of very extended A D−3 and E 8 (i.e. E 11) at low levels in terms of A D−1 and A 10 representations respectively. The results are consistent with the conjectured very extended A 8 and E 11 symmetries of gravity and maximal supergravity theories given respectively in hep-th/0104081...
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تاریخ انتشار 2001