Heriot-Watt Mathematics Report Series
HWM06-30, 23 Jun 2006
D-branes, RR-fields and duality on noncommutative manifolds
J Brodzki, V Mathai, J M Rosenberg and R J Szabo
Abstract
We develop some of the ingredients needed for
string theory on noncommutative spacetimes,
proposing an axiomatic formulation of T-duality as well as
establishing a very general formula for D-brane charges.
This formula is closely related to a noncommutative
Grothendieck-Riemann-Roch theorem that is proved here.
Techniques used include complicated calculations in bivariant
$\K$-theory and cyclic theory, which are simplified using a novel
diagram calculus reminiscent of Feynman diagrams.
Google Scholar Search: links, citations and journal (if available)
Contact Details | 2006 Reports Index |
Full Index