D-branes on orbifolds with discrete torsion and topological obstruction
15 pages
Published in:
- JHEP 05 (2000) 006
e-Print:
- hep-th/0001200 [hep-th]
Report number:
- CALT-68-2260,
- CITUSC-00-008
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Abstract:
We find the orbifold analog of the topological relation recently found by Freed and Witten which restricts the allowed D-brane configurations of Type II vacua with a topologically non-trivial flat -field. The result relies in Douglas proposal -- which we derive from worldsheet consistency conditions -- of embedding projective representations on open string Chan-Paton factors when considering orbifolds with discrete torsion. The orbifold action on open strings gives a natural definition of the algebraic K-theory group -- using twisted cross products -- responsible for measuring Ramond-Ramond charges in orbifolds with discrete torsion. We show that the correspondence between fractional branes and Ramond-Ramond fields follows in an interesting fashion from the way that discrete torsion is implemented on open and closed strings.- string model
- string: closed
- string: open
- membrane model: D-brane
- orbifold
- torsion: discrete
- topology
- K-theory
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