Dbrane phase transitions and monodromy in K-theory

Citation
S. Gukov et V. Periwal, Dbrane phase transitions and monodromy in K-theory, J GEOM PHYS, 34(3-4), 2000, pp. 263-269
Citations number
26
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF GEOMETRY AND PHYSICS
ISSN journal
03930440 → ACNP
Volume
34
Issue
3-4
Year of publication
2000
Pages
263 - 269
Database
ISI
SICI code
0393-0440(200007)34:3-4<263:DPTAMI>2.0.ZU;2-W
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 Kahler cone with nontrivial monodromy. Thus the study of monodromy in K groups associated with quantized algebras can be used to predict the phas e structure of systems of (non-supersymmetric) Dbranes. (C) 2000 Elsevier S cience B.V. All rights reserved.