CPL - Chalmers Publication Library
| Utbildning | Forskning | Styrkeområden | Om Chalmers | In English In English Ej inloggad.

Exceptional Lie algebras and M-theory

Jakob Palmkvist (Institutionen för fundamental fysik)
Göteborg : Chalmers University of Technology, 2008. ISBN: 978-91-7385-211-1.

In this thesis we study algebraic structures in M-theory, in particular the exceptional Lie algebras arising in dimensional reduction of its low energy limit, eleven-dimensional supergravity. We focus on e8 and its infinite-dimensional extensions e9 and e10. We review the dynamical equivalence, up to truncations on both sides, between eleven-dimensional supergravity and a geodesic sigma model based on the coset E10/K(E10), where K(E10) is the maximal compact subgroup. The description of e10 as a graded Lie algebra is crucial for this equivalence. We study generalized Jordan triple systems, which are closely related to graded Lie algebras, and which may also play a role in the description of M2-branes using three-dimensional superconformal theories. The introductory part is followed by five research papers. In Paper I we show that the spinor and vector-spinor representations of k(e10) in the fermionic extension of the original E10 coset model lead, upon restriction to k(e9), to the R-symmetry transformations in eleven-dimensional supergravity reduced to two dimensions. Paper II provides an explicit expression for the primitive E8 invariant tensor with eight symmetric indices, which is expected to appear in M-theory corrections in the reduction to three dimensions. In Paper III we show that e8, e9 and e10 can be constructed in a unified way from a Jordan algebra, via generalized Jordan triple systems. Also Paper IV deals with generalized Jordan triple systems, but in the context of superconformal M2-branes. We show that the recently proposed theories with six or eight supersymmetries can be expressed in terms of a graded Lie algebra. In Paper V we return to the bosonic E10 coset model, and apply it to gauged maximal supergravity in three dimensions.

Denna post skapades 2008-11-19. Senast ändrad 2013-09-25.
CPL Pubid: 78352


Institutioner (Chalmers)

Institutionen för fundamental fysik (2005-2015)


Algebra och geometri
Matematisk fysik
Relativitetsteori, gravitation

Chalmers infrastruktur

Relaterade publikationer

Inkluderade delarbeten:

The octic E8 invariant


Datum: 2008-12-10
Tid: 15:15
Lokal: FB-salen, Fysikgården 4, Chalmers
Opponent: Professor Marc Henneaux, Université Libre de Bruxelles, Belgien

Ingår i serie

Doktorsavhandlingar vid Chalmers tekniska högskola. Ny serie 2892