Uncovering Infinite Symmetries on [p,q] 7-branes: Kac-Moody Algebras and Beyond

Simple item page
dc.creatorDeWolfe, Oliver
dc.creatorHauer, Tamas
dc.creatorIqbal, Amer
dc.creatorZwiebach, Barton
dc.date1998-12-22
dc.date1999-08-06
dc.date.accessioned2026-07-07T04:25:47Z
dc.date.available2026-07-07T04:25:47Z
dc.descriptionIn a previous paper we explored how conjugacy classes of the modular group classify the symmetry algebras that arise on type IIB [p,q] 7-branes. The Kodaira list of finite Lie algebras completely fills the elliptic classes as well as some parabolic classes. Loop algebras of E_N fill additional parabolic classes, and exotic finite algebras, hyperbolic extensions of E_N and more general indefinite Lie algebras fill the hyperbolic classes. Since they correspond to brane configurations that cannot be made into strict singularities, these non-Kodaira algebras are spectrum generating and organize towers of massive BPS states into representations. The smallest brane configuration with unit monodromy gives rise to the loop algebra \hat{E}_9 which plays a central role in the theory. We elucidate the patterns of enhancement relating E_8, E_9, \hat{E}_9 and E_10. We examine configurations of 24 7-branes relevant to type IIB compactifications on a two-sphere, or F-theory on K3. A particularly symmetric configuration separates the 7-branes into two groups of twelve branes and the massive BPS spectrum is organized by E_10 + E_10.
dc.description44 pages, LaTeX, 9 eps figures, minor typos corrected
dc.identifierhttps://arxiv.org/abs/hep-th/9812209
dc.identifierhttp://arxiv.org/abs/hep-th/9812209
dc.identifierAdv.Theor.Math.Phys. 3 (1999) 1835-1891
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/55872
dc.subjectHigh Energy Physics - Theory
dc.titleUncovering Infinite Symmetries on [p,q] 7-branes: Kac-Moody Algebras and Beyond
dc.typetext

Files

Collections

arXiv