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arXiv · 1211.5839

The K-Theoretic Formulation of D-Brane Aharonov-Bohm Phases

Aaron R. Warren
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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.

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Aaron R. Warren. 2012-11-26. The K-Theoretic Formulation of D-Brane Aharonov-Bohm Phases. https://arxiv.org/abs/1211.5839

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