Strange duality for verlinde spaces of exceptional groups at level one
International Mathematics Research Notices, sa.4, ss.595-618, 2010 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Basım Tarihi: 2010
- Doi Numarası: 10.1093/imrn/rnp151
- Dergi Adı: International Mathematics Research Notices
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.595-618
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Boğaziçi Üniversitesi Adresli: Evet
Özet
The moduli stack of principal MxE8-bundles over a smooth projective curve X carries a natural divisor Δ. We study the pullback of the divisor Δ to the moduli stack, where P is a semisimple and simply connected group such that its Lie algebra Lie (P) is a maximal conformal subalgebra of Lie (E8). We show that the divisor Δ induces "Strange Duality"-type isomorphisms between the Verlinde spaces at level one of the following pairs of groups (SL (5), SL (5)), (Spin (8), Spin (8)), (SL (3), E6), and (SL (2), E7). © The Author 2009. Published by Oxford University Press. All rights reserved.