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Overview of \(K\)-theory applied to strings. (English) Zbl 1003.81020

Duff, Michael J. (ed.) et al., Strings 2000. Proceedings of the international superstrings conference, Ann Arbor, MI, USA, July 10-15, 2000. Singapore: World Scientific. 53-66 (2001).
Summary: \(K\)-theory provides a framework for classifying Ramond-Ramond (RR) charges and fields. \(K\)-theory of manifolds has a natural extension to \(K\)-theory of noncommutative algebras, such as the algebras considered in noncommutative Yang-Mills theory or in open string field theory. In a number of concrete problems, the \(K\)-theory analysis proceeds most naturally if one starts out with an infinite set of D-branes, reduced by tachyon condensation to a finite set. This suggests that string field theory should be reconsidered for \(N=\infty\).
For the entire collection see [Zbl 0966.00041].

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81-02 Research exposition (monographs, survey articles) pertaining to quantum theory
83E30 String and superstring theories in gravitational theory
19M05 Miscellaneous applications of \(K\)-theory
81T13 Yang-Mills and other gauge theories in quantum field theory
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