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

Aaron R. Warren | Zendy

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

Author(s) -

Aaron R. Warren

Publication year - 2012

Publication title -

advances in high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.59

H-Index - 49

eISSN - 1687-7365

pISSN - 1687-7357

DOI - 10.1155/2012/920486

Subject(s) - physics , invariant (physics) , torsion (gastropod) , perspective (graphical) , brane cosmology , aharonov–bohm effect , theoretical physics , mathematical physics , topology (electrical circuits) , quantum mechanics , geometry , magnetic field , combinatorics , mathematics , medicine , surgery

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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