Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1997-03-24
Nucl.Phys. B528 (1998) 238-264
Physics
High Energy Physics
High Energy Physics - Theory
33 pages, 3 figures. The action of the Chevalley generators of SL(2,R)_8 is corrected. Commutativity of SL(2,R)_0 and SL(2,R)_
Scientific paper
10.1016/S0550-3213(98)00322-8
We consider dimensional reduction of the eleven-dimensional supergravity to less than four dimensions. The three-dimensional $E_{8(+8)}/SO(16)$ nonlinear sigma model is derived by direct dimensional reduction from eleven dimensions. In two dimensions we explicitly check that the Matzner-Misner-type $SL(2,R)$ symmetry, together with the $E_8$, satisfies the generating relations of $E_9$ under the generalized Geroch compatibility (hypersurface-orthogonality) condition. We further show that an extra $SL(2,R)$ symmetry, which is newly present upon reduction to one dimension, extends the symmetry algebra to a real form of $E_{10}$. The new $SL(2,R)$ acts on certain plane wave solutions propagating at the speed of light. To show that this $SL(2,R)$ cannot be expressed in terms of the old $E_9$ but truly enlarges the symmetry, we compactify the final two dimensions on a two-torus and confirm that it changes the conformal structure of this two-torus.
No associations
LandOfFree
E_{10} Symmetry in One-dimensional Supergravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with E_{10} Symmetry in One-dimensional Supergravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and E_{10} Symmetry in One-dimensional Supergravity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-577201