Gukov, Sergei and Periwal, Vipul (2000) Dbrane phase transitions and monodromy in K-theory. Journal of Geometry and Physics, 34 (3-4). pp. 263-269. ISSN 0393-0440. https://resolver.caltech.edu/CaltechAUTHORS:20160513-082826792
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Abstract
Majumder and Sen have given an explicit construction of a first order phase transition in a non-supersymmetric system of Dbranes that occurs when the B-field is varied. We show that the description of this transition in terms of K-theory involves a bundle of K groups of non-commutative algebras over the Kähler cone with nontrivial monodromy. Thus the study of monodromy in K groups associated with quantized algebras can be used to predict the phase structure of systems of (non-supersymmetric) Dbranes.
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| Additional Information: | © 2000 Elsevier Science B.V. Received 21 September 1999, Available online 1 June 2000. We have benefited from discussions with R. Bezrukavnikov, M. Kontsevich, J. Rosenberg, A. Schwarz, A. Sen, E. Sharpe and E. Witten. The work of S.G. was supported in part by grant RFBR No. 98-02-16575 and Russian President’s grant No 96-15-96939. The work of V.P. was supported in part by NSF grant PHY-9802484. | ||||||||||||
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| Subject Keywords: | Dbranes; K-theory | ||||||||||||
| Issue or Number: | 3-4 | ||||||||||||
| Classification Code: | MSC: 46L80 | ||||||||||||
| Record Number: | CaltechAUTHORS:20160513-082826792 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20160513-082826792 | ||||||||||||
| Official Citation: | Sergei Gukov, Vipul Periwal, Dbrane phase transitions and monodromy in K-theory, Journal of Geometry and Physics, Volume 34, Issues 3–4, July 2000, Pages 263-269, ISSN 0393-0440, http://dx.doi.org/10.1016/S0393-0440(99)00067-4. (http://www.sciencedirect.com/science/article/pii/S0393044099000674) | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 67061 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||||
| Deposited On: | 13 May 2016 18:55 | ||||||||||||
| Last Modified: | 09 Mar 2020 13:18 |
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