854 research outputs found
On search for the M-Theory Lagrangian
We present a starting point for the search for a Lagrangian density for
M-Theory using characteristic classes for flat foliations of bundles.Comment: Latex, 5 pages, no figure
Geometry of the non-Abelian 2-index potential and twisted de Rham cohomology
It is found that the 2-index potential in nonabelian theories does not behave
geometrically as a connection but that, considered as an element of the second
de Rham cohomology group twisted by a flat connection, it fits well with all
the properties assigned to it in various physical contexts. We also prove some
results on the Euler characteristic of the twisted de Rham complex. Finally,
provided that some conditions are satisfied, we propose a non-Abelian
generalisation of S-duality.Comment: 11 pages, Latex; to appear in Repts. on Math. Phy
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