The K-Theoretic Formulation of D-Brane Aharonov-Bohm Phases
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...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2012/920486 |
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| _version_ | 1832563967399034880 |
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| author | Aaron R. Warren |
| author_facet | Aaron R. Warren |
| author_sort | Aaron R. Warren |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-241b97eacabf4a9e8073e4774f47ad01 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-241b97eacabf4a9e8073e4774f47ad012025-02-03T01:12:09ZengWileyAdvances in High Energy Physics1687-73571687-73652012-01-01201210.1155/2012/920486920486The K-Theoretic Formulation of D-Brane Aharonov-Bohm PhasesAaron R. Warren0Department of Mathematics, Physics, and Statistics, Purdue University North Central, 1401 S. US-421, Westville, IN 46391, USAThe 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.http://dx.doi.org/10.1155/2012/920486 |
| spellingShingle | Aaron R. Warren The K-Theoretic Formulation of D-Brane Aharonov-Bohm Phases Advances in High Energy Physics |
| title | The K-Theoretic Formulation of D-Brane Aharonov-Bohm Phases |
| title_full | The K-Theoretic Formulation of D-Brane Aharonov-Bohm Phases |
| title_fullStr | The K-Theoretic Formulation of D-Brane Aharonov-Bohm Phases |
| title_full_unstemmed | The K-Theoretic Formulation of D-Brane Aharonov-Bohm Phases |
| title_short | The K-Theoretic Formulation of D-Brane Aharonov-Bohm Phases |
| title_sort | k theoretic formulation of d brane aharonov bohm phases |
| url | http://dx.doi.org/10.1155/2012/920486 |
| work_keys_str_mv | AT aaronrwarren thektheoreticformulationofdbraneaharonovbohmphases AT aaronrwarren ktheoreticformulationofdbraneaharonovbohmphases |