the k-theoretic formulation of d-brane aharonov-bohm phases

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2012
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Abstract
The topological calculation of Aharonov-Bohm phases associated with D-branes in the absence of a Neveu-Schwarz B-field is explored. The K-theoretic classification of Ramond-Ramond fields in Type II and Type I theories is used to produce formulae for the Aharonov-Bohm phase associated with a torsion flux. A topological construction shows that K-theoretic pairings to calculate such phases exist and are well defined. An analytic perspective is then taken, obtaining a means for determining Aharonov-Bohm phases by way of the reduced eta-invariant. This perspective is used to calculate the phase for an experiment involving the (−1) −8 system in Type I theory and compared with previous calculations performed using different methods.
Reference Key
warren2012advancesthe Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Aaron R. Warren
Journal biotechnology reports (amsterdam, netherlands)
Year 2012
DOI
10.1155/2012/920486
URL
http://dx.doi.org/10.1155/2012/920486
Keywords
physics

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