Ramond-Ramond Fields, Fractional Branes and Orbifold Differential K-Theory

Details Ramond-Ramond Fields, Fractional Branes and Orbifold Differential K-Theory Ramond-Ramond Fields, Fractional Branes and Orbifold Differential K-Theory

2007-10-15

arxiv.org/abs/0710.2773v2

Physics

High Energy Physics

High Energy Physics - Theory

46 pages; v2: typos corrected

Scientific paper

We study D-branes and Ramond-Ramond fields on global orbifolds of Type II string theory with vanishing H-flux using methods of equivariant K-theory and K-homology. We illustrate how Bredon equivariant cohomology naturally realizes stringy orbifold cohomology. We emphasize its role as the correct cohomological tool which captures known features of the low-energy effective field theory, and which provides new consistency conditions for fractional D-branes and Ramond-Ramond fields on orbifolds. We use an equivariant Chern character from equivariant K-theory to Bredon cohomology to define new Ramond-Ramond couplings of D-branes which generalize previous examples. We propose a definition for groups of differential characters associated to equivariant K-theory. We derive a Dirac quantization rule for Ramond-Ramond fluxes, and study flat Ramond-Ramond potentials on orbifolds.

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