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Published May 2000 | public
Journal Article Open

Duality relations among topological effects in string theory

Abstract

We explore two different problems in string theory in which duality relates an ordinary p-form field in one theory to a self-dual (p+1)-form field in another theory. One problem involves comparing D4-branes to M5-branes, and the other involves comparing the Ramond-Ramond forms in type-IIA and type-IIB superstring theory. In each case, a subtle topological effect involving the p-form can be recovered from a careful analysis of the quantum mechanics of the self-dual (p+1)-form.

Additional Information

Copyright © Institute of Physics and IOP Publishing Limited 2000 Received 12 April 2000, accepted for publication 17 May 2000, Published 2 June 2000 This work was supported in part by NSF Grant PHY-9513835 and the Caltech Discovery Fund. I am grateful to M.J. Hopkins and I.M. Singer for numerous explanations of their viewpoint about the fivebrane action, as well as other matters. In addition, I would like to thank G. Moore for discussions and suggestions about the manuscript, R. Stong for helpful correspondence, and E. Diaconescu, D. Freed, and A. Kapustin for comments and questions. E-print number: hep-th/9912086

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