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D-branes, KK-theory and duality on noncommutative spaces

D-branes, KK-theory and duality on noncommutative spaces
D-branes, KK-theory and duality on noncommutative spaces
We present a new categorical classification framework for D-brane charges
on noncommutative manifolds using methods of bivariant K-theory. We describe several applications including an explicit formula for D-brane charge in cyclic homology, a refinement of open string T-duality, and a general criterion for cancellation of global worldsheet anomalies.
1742-6588
1-13
Brodzki, J.
b1fe25fd-5451-4fd0-b24b-c59b75710543
Mathai, V.
10d78910-aa62-473c-903f-0f18fe1d5d7c
Rosenberg, J.
57af5465-dce9-4ee4-8bc6-1774623b4349
Szabo, R.J.
d6ee602e-a6db-478f-8be6-f4359b38dbfa
Brodzki, J.
b1fe25fd-5451-4fd0-b24b-c59b75710543
Mathai, V.
10d78910-aa62-473c-903f-0f18fe1d5d7c
Rosenberg, J.
57af5465-dce9-4ee4-8bc6-1774623b4349
Szabo, R.J.
d6ee602e-a6db-478f-8be6-f4359b38dbfa

Brodzki, J., Mathai, V., Rosenberg, J. and Szabo, R.J. (2008) D-branes, KK-theory and duality on noncommutative spaces. Journal of Physics: Conference Series, 103 (12004), 1-13. (doi:10.1088/1742-6596/103/1/012004).

Record type: Article

Abstract

We present a new categorical classification framework for D-brane charges
on noncommutative manifolds using methods of bivariant K-theory. We describe several applications including an explicit formula for D-brane charge in cyclic homology, a refinement of open string T-duality, and a general criterion for cancellation of global worldsheet anomalies.

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Published date: 2008
Additional Information: International Conference on Noncommutative Geometry and Physics (23–27 April 2007, Université Paris XI, Orsay, France)

Identifiers

Local EPrints ID: 46524
URI: http://eprints.soton.ac.uk/id/eprint/46524
DOI: doi:10.1088/1742-6596/103/1/012004
ISSN: 1742-6588
PURE UUID: 41851b8f-520b-4842-a6b3-d49b17afd994
ORCID for J. Brodzki: ORCID iD orcid.org/0000-0002-4524-1081

Catalogue record

Date deposited: 12 Aug 2008
Last modified: 16 Mar 2024 03:24

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Contributors

Author: J. Brodzki ORCID iD
Author: V. Mathai
Author: J. Rosenberg
Author: R.J. Szabo

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