D-branes, RR-fields and duality on noncommutative manifolds
D-branes, RR-fields and duality on noncommutative manifolds
We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for D-brane charges. This formula is closely related to a noncom4 mutative Grothendieck-Riemann-Roch theorem that is proved here. Our approach relies on a very general form of Poincaré duality, which is studied here in detail. Among the technical tools employed are calculations with iterated products in bivariant K-theory and cyclic theory, which are simplified using a novel diagram calculus reminiscent of Feynman diagrams.
643-706
Brodzki, Jacek
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Mathai, Varghese
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Rosenberg, Jonathan
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Szabo, Richard J.
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5 February 2008
Brodzki, Jacek
b1fe25fd-5451-4fd0-b24b-c59b75710543
Mathai, Varghese
70efa223-e5cc-4942-9d44-ad23023b1efa
Rosenberg, Jonathan
c1dbabea-cfa2-4b65-85a8-7e51fe5b9054
Szabo, Richard J.
c852e73d-9c9f-4b65-afaa-69411a151f09
Brodzki, Jacek, Mathai, Varghese, Rosenberg, Jonathan and Szabo, Richard J.
(2008)
D-branes, RR-fields and duality on noncommutative manifolds.
Communications in Mathematical Physics, 277 (3), .
(doi:10.1007/s00220-007-0396-y).
Abstract
We develop some of the ingredients needed for string theory on noncommutative spacetimes, proposing an axiomatic formulation of T-duality as well as establishing a very general formula for D-brane charges. This formula is closely related to a noncom4 mutative Grothendieck-Riemann-Roch theorem that is proved here. Our approach relies on a very general form of Poincaré duality, which is studied here in detail. Among the technical tools employed are calculations with iterated products in bivariant K-theory and cyclic theory, which are simplified using a novel diagram calculus reminiscent of Feynman diagrams.
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BrodzkiMathaiRosenbergSzaboCMP.pdf
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e-pub ahead of print date: 5 December 2007
Published date: 5 February 2008
Identifiers
Local EPrints ID: 49723
URI: http://eprints.soton.ac.uk/id/eprint/49723
ISSN: 0010-3616
PURE UUID: 32a9471f-7e01-4c40-aae8-6b28d4dc9bf3
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Date deposited: 26 Nov 2007
Last modified: 16 Mar 2024 03:24
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Contributors
Author:
Varghese Mathai
Author:
Jonathan Rosenberg
Author:
Richard J. Szabo
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