D-branes on orbifolds with discrete torsion and topological obstruction
- Creators
- Gomis, Jaume
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 B-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.
Additional Information
© 2000 IOP Publishing. Received: March 27, 2000, Accepted: May 3, 2000. I would like to express my gratitude to D.E. Diaconescu, M. Douglas, E. Gimon, S. Gukov and E. Witten for enlightening discussions. J.G. is supported in part by the DOE under grant no. DE-FG03-92-ER 40701.Attached Files
Published - GOMjhep00.pdf
Submitted - 0001200v2.pdf
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Additional details
- Eprint ID
- 27830
- Resolver ID
- CaltechAUTHORS:20111117-110051470
- DE-FG03-92-ER 40701
- Department of Energy (DOE)
- Created
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2011-11-17Created from EPrint's datestamp field
- Updated
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2021-11-09Created from EPrint's last_modified field