Heriot-Watt Mathematics Report Series
HWM09-9, 6 Oct 2009
Quantization of Ramond-Ramond fields in differential orbifold K-theory
U Bunke, T Schick, R J Szabo and A Valentino
Abstract
We develop methods of differential equivariant K-theory to describe
the Hamiltonian quantization of Ramond-Ramond fields on
smooth representable orbifolds of Type~II superstring theory which can
be expressed as global quotients by a finite group
action, in the absence of H-flux and D-branes. We explicitly
construct the relevant Heisenberg groups by developing a version of
the Adams operation in differential orbifold
K-theory, and proving a general index theorem for it. The Heisenberg
groups in the sector of flat orbifold Ramond-Ramond fields are
examined in detail.
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