D-Branes, B-fields and twisted K-theory

Journal of High Energy Physics

Volumn 4, Issue 3, 2000, Pages 1-11

  Bouwknegt, Peter ^a   Mathai, Varghese ^a  

^a UNIVERSITY OF ADELAIDE   (Australia)

Author keywords

D branes; Differential and Algebraic Geometry

Indexed keywords

EID: 6444237712     PISSN: 10298479     EISSN: None     Source Type: Journal    
DOI: 10.1088/1126-6708/2000/03/007     Document Type: Article

References (28)

1. P. Bouwknegt and V. Mathai, work in progress.
2. J.-L. Brylinski, Loop spaces, characteristic classes and geometric quantization, Progress in Mathematics 107, Birkhäuser, Boston 1993.
3. A.L. Carey, K.C. Hannabuss, V. Mathai and P. McCann, Quantum hall effect on the hyperbolic plane, Comm. Math. Phys. 190 (1998) 629 [dg-ga/9704006].
4. A. Carey, K. Hannabuss, V. Mathai, Quantum Hall effect on the hyperbolic plane in the presence of disorder, Lett. Math. Phys. 47/3 (1999) 215 [math. DG/9804128]
5. A. Connes, Noncommutative geometry, Academic Press, San Diego 1994.
6. A. Connes, M.R. Douglas and A. Schwarz, Noncommutative geometry and matrix theory: compactification on tori, J. High Energy Phys. 02 (1998) 003 [hep-th/9711162].
7. J. Dixmier, C*-algebras and their representations, North Holland, Amsterdam 1982.
8. J. Dixmier and A. Douady, Champs continues d'espaces hilbertiens at de C*-algèbres, Bull. Soc. Math. France 91 (1963) 227-284.
9. P. Donovan and M. Karoubi, Graded Brauer groups and K-theory with local coefficients, Inst. Hautes Études Sci. Publ. Math. 38 (1970) 5-25.
10. D.S. Freed and E. Witten, Anomalies in string theory with D-branes, hep-th/9907189.
11. A. Grothendieck, Le groupe de Brauer, I, II, III. 1968 Dix Exposés sur la Cohomologie des Schémas, pp. 46-188, North-Holland, Amsterdam; Masson, Paris.
12. A. Kapustin, D-branes in a topologically nontrivial B-field, hep-th/9909089.
13. R. Minasian and G. Moore, K-theory and Ramond-Ramond charge, J. High Energy Phys. 11 (1997) 002 [hep-th/9710230].
14. G. Moore and E. Witten, Self-duality, Ramond-Ramond fields and K-theory, hep-th/9912279.
15. E.M. Parker, The Brauer group of graded continuous trace C*-algebras, Trans. Amer. Math. Soc. 308 (1988), no. 1, 115.
16. D. Quillen, Superconnections and the Chern character, Topology 24 (1985), no. 1, 89.
17. I. Raeburn and D. Williams, Marita equivalence and continuous trace C*-algebras, Math. Surv. and Mono. 60 (1998).
18. J. Rosenberg, Continuous trace algebras from the bundle theoretic point of view, Jour. Austr. Math. Soc. 47 (1989) 368.
19. N. Seiberg and E. Witten, String theory and noncommutative geometry, J. High Energy Phys. 09 (1999) 032 [hep-th/9908142].
20. A. Sen, Stable non-BPS states in string theory, J. High Energy Phys. 06 (1998) 007 [hep-th/9803194]; Stable non-BPS bound states of BPS D-branes, J. High Energy Phys. 08 (1998) 010 [hep-th/9805019]; Tachyon condensation on the brane antibrane system, J. High Energy Phys. 08 (1998) 012 [hep-th/9805170]; SO(32) spinors of type-I and other solitons on brane-antibrane pair, J. High Energy Phys. 09 (1998) 023 [hep-th/9808141].
21. A. Sen, Stable non-BPS states in string theory, J. High Energy Phys. 06 (1998) 007 [hep-th/9803194]; Stable non-BPS bound states of BPS D-branes, J. High Energy Phys. 08 (1998) 010 [hep-th/9805019]; Tachyon condensation on the brane antibrane system, J. High Energy Phys. 08 (1998) 012 [hep-th/9805170]; SO(32) spinors of type-I and other solitons on brane-antibrane pair, J. High Energy Phys. 09 (1998) 023 [hep-th/9808141].
22. A. Sen, Stable non-BPS states in string theory, J. High Energy Phys. 06 (1998) 007 [hep-th/9803194]; Stable non-BPS bound states of BPS D-branes, J. High Energy Phys. 08 (1998) 010 [hep-th/9805019]; Tachyon condensation on the brane antibrane system, J. High Energy Phys. 08 (1998) 012 [hep-th/9805170]; SO(32) spinors of type-I and other solitons on brane-antibrane pair, J. High Energy Phys. 09 (1998) 023 [hep-th/9808141].
23. A. Sen, Stable non-BPS states in string theory, J. High Energy Phys. 06 (1998) 007 [hep-th/9803194]; Stable non-BPS bound states of BPS D-branes, J. High Energy Phys. 08 (1998) 010 [hep-th/9805019]; Tachyon condensation on the brane antibrane system, J. High Energy Phys. 08 (1998) 012 [hep-th/9805170]; SO(32) spinors of type-I and other solitons on brane-antibrane pair, J. High Energy Phys. 09 (1998) 023 [hep-th/9808141].
24. A. Wassermann, Automorphic actions of compact groups on operator algebras, Ph.D. dissertation, Univ. of Pennsylvannia, Philadelphia, 1981; Equivariant K-theory I: compact transformation groups with one orbit type, IHES preprint, 1985.
25. A. Wassermann, Automorphic actions of compact groups on operator algebras, Ph.D. dissertation, Univ. of Pennsylvannia, Philadelphia, 1981; Equivariant K-theory I: compact transformation groups with one orbit type, IHES preprint, 1985.
26. N.E. Wegge-Olsen, K-theory and C*-algebras: A friendly approach, Oxford Science Publications, The Clarendon Press, Oxford University Press, New York 1993.
27. G. Whitehead, Elements of homotopy theory, Graduate Texts in Mathematics 61, Springer-Verlag, New York-Berlin, 1978.
28. E. Witten, D-branes and K-theory, J. High Energy Phys. 12 (1998) 019 [hep-th/9810188].