Time-like T-duality algebra
| dc.creator | Keurentjes, Arjan | |
| dc.date | 2004-04-22 | |
| dc.date | 2004-09-29 | |
| dc.date.accessioned | 2026-07-07T10:49:54Z | |
| dc.date.available | 2026-07-07T10:49:54Z | |
| dc.description | When compactifying M- or type II string-theories on tori of indefinite space-time signature, their low energy theories involve sigma models on E_{n(n)}/H_n, where H_n is a not necessarily compact subgroup of E_{n(n)} whose complexification is identical to the complexification of the maximal compact subgroup of E_{n(n)}. We discuss how to compute the group H_n. For finite dimensional E_{n(n)}, a formula derived from the theory of real forms of E_n algebra's gives the possible groups immediately. A few groups that have not appeared in the literature are found. For n=9,10,11 we compute and describe the relevant real forms of E_n and H_n. A given H_n can correspond to multiple signatures for the compact torus. We compute the groups H_n for all compactifications of M-, M*-, and M'-theories, and type II-, II*- and II'-theories on tori of arbitrary signature, and collect them in tables that outline the dualities between them. In an appendix we list cosets G/H, with G split and H a subgroup of G, that are relevant to timelike toroidal compactifications and oxidation of theories with enhanced symmetries. | |
| dc.description | LaTeX, 37 pages, 1 eps-figure, uses JHEP.cls; v2. corrected typo's in tables 16 and 17, minor changes to text | |
| dc.identifier | https://arxiv.org/abs/hep-th/0404174 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0404174 | |
| dc.identifier | JHEP0411:034,2004 | |
| dc.identifier | doi:10.1088/1126-6708/2004/11/034 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184375 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Time-like T-duality algebra | |
| dc.type | text |