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**Harvard**

Bao, L. (2004) *Algebraic Structures in M-theory*. Göteborg : Chalmers University of Technology

** BibTeX **

@mastersthesis{

Bao2004,

author={Bao, Ling},

title={Algebraic Structures in M-theory},

abstract={In this thesis we reformulate the bosonic sector of eleven dimensional supergravity as a simultaneous nonlinear realisation based on the conformal group and an enlarged affine group called G_{11}. The vielbein and the gauge fields of the theory appear as space-time dependent parameters of the coset representatives. Inside the corresponding algebra g_{11} we find the Borel subalgebra of e_7, whereas performing the same procedure for the Borel subalgebra of e_8 we have to add some extra generators. The presence of these new generators lead to a new formulation of gravity, which includes both a vielbein and its dual. We make the conjecture that the final symmetry of M-theory should be described by a coset space, with the global and
the local symmetry given by the Lorentzian Kac-Moody algebra e_{11} and its subalgebra invariant under the Cartan involution, respectively. The pure gravity itself in $D$ dimensions is argued to have a coset symmetry based on the very extended algebra A^{+++}_{D-3}. The tensor generators of a very extended algebra are divided into representations of its maximal finite dimensional subalgebra. The space-time translations are thought to be introduced as weights in a basic representation of the Kac-Moody algebra. Some features of the root system of a general Lorentzian Kac-Moody algebra
are discussed, in particular those related to even self-dual lattices.},

publisher={Institutionen för teoretisk fysik och mekanik, Matematisk fysik, Chalmers tekniska högskola},

place={Göteborg},

year={2004},

keywords={M-theory, Algebraic Symmetries, Kac-Moody algebras},

}

** RefWorks **

RT Generic

SR Electronic

ID 1655

A1 Bao, Ling

T1 Algebraic Structures in M-theory

YR 2004

AB In this thesis we reformulate the bosonic sector of eleven dimensional supergravity as a simultaneous nonlinear realisation based on the conformal group and an enlarged affine group called G_{11}. The vielbein and the gauge fields of the theory appear as space-time dependent parameters of the coset representatives. Inside the corresponding algebra g_{11} we find the Borel subalgebra of e_7, whereas performing the same procedure for the Borel subalgebra of e_8 we have to add some extra generators. The presence of these new generators lead to a new formulation of gravity, which includes both a vielbein and its dual. We make the conjecture that the final symmetry of M-theory should be described by a coset space, with the global and
the local symmetry given by the Lorentzian Kac-Moody algebra e_{11} and its subalgebra invariant under the Cartan involution, respectively. The pure gravity itself in $D$ dimensions is argued to have a coset symmetry based on the very extended algebra A^{+++}_{D-3}. The tensor generators of a very extended algebra are divided into representations of its maximal finite dimensional subalgebra. The space-time translations are thought to be introduced as weights in a basic representation of the Kac-Moody algebra. Some features of the root system of a general Lorentzian Kac-Moody algebra
are discussed, in particular those related to even self-dual lattices.

PB Institutionen för teoretisk fysik och mekanik, Matematisk fysik, Chalmers tekniska högskola,

LA eng

LK http://fy.chalmers.se/~f99ling/master.pdf

OL 30