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D-branes on orbifolds with discrete torsion and topological obstruction

Gomis, Jaume (2000) D-branes on orbifolds with discrete torsion and topological obstruction. Journal of High Energy Physics, 2000 (5). Art. No. 006. ISSN 1126-6708. doi:10.1088/1126-6708/2000/05/006.

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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.

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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.
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Department of Energy (DOE)DE-FG03-92-ER 40701
Subject Keywords:D-branes; superstring vacua; conformal field models in string theory
Issue or Number:5
Classification Code:PACS: 11.25.Uv; 11.25.Hf; 02.40.-k
Record Number:CaltechAUTHORS:20111117-110051470
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Official Citation:D-branes on orbifolds with discrete torsion and topological obstruction Jaume Gomis JHEP05(2000)006
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:27830
Deposited By: Tony Diaz
Deposited On:17 Nov 2011 20:56
Last Modified:09 Nov 2021 16:52

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