Minimal Unitary Realizations of Exceptional U-duality Groups and Their Subgroups as Quasiconformal Groups
| Autor: | Murat Gunaydin, Oleksandr Pavlyk |
|---|---|
| Rok vydání: | 2005 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Pure mathematics 010308 nuclear & particles physics Supergravity Minimal realization FOS: Physical sciences U-duality 01 natural sciences Unitary state High Energy Physics - Theory (hep-th) 0103 physical sciences Covariant transformation 010306 general physics Maximal compact subgroup |
| Zdroj: | Journal of High Energy Physics. 2005:019-019 |
| ISSN: | 1029-8479 |
| DOI: | 10.1088/1126-6708/2005/01/019 |
| Popis: | We study the minimal unitary representations of noncompact exceptional groups that arise as U-duality groups in extended supergravity theories. First we give the unitary realizations of the exceptional group E_{8(-24)} in SU*(8) as well as SU(6,2) covariant bases. E_{8(-24)} has E_7 X SU(2) as its maximal compact subgroup and is the U-duality group of the exceptional supergravity theory in d=3. For the corresponding U-duality group E_{8(8)} of the maximal supergravity theory the minimal realization was given in hep-th/0109005. The minimal unitary realizations of all the lower rank noncompact exceptional groups can be obtained by truncation of those of E_{8(-24)} and E_{8(8)}. By further truncation one can obtain the minimal unitary realizations of all the groups of the "Magic Triangle". We give explicitly the minimal unitary realizations of the exceptional subgroups of E_{8(-24)} as well as other physically interesting subgroups. These minimal unitary realizations correspond, in general, to the quantization of their geometric actions as quasi-conformal groups as defined in hep-th/0008063. Comment: 28 pages. Latex commands removed from the abstract for the arXiv. No changes in the manuscript |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|