Open AccessProjector equivalences in K theory and families of non-commutative solitons
Author(s) -
Steve Corley,
Sanjaye Ramgoolam
Publication year - 2001
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2001/03/037
Subject(s) - theoretical physics , brane , fluxon , projector , gauge theory , physics , context (archaeology) , k theory (physics) , noncommutative geometry , field (mathematics) , brane cosmology , euclidean geometry , field theory (psychology) , operator (biology) , topology (electrical circuits) , mathematics , pure mathematics , mathematical physics , quantum mechanics , geometry , combinatorics , optics , repressor , chemistry , biology , josephson effect , paleontology , biochemistry , pi josephson junction , transcription factor , superconductivity , gene
Projector equivalences used in the definition of the K-theory of operatoralgebras are shown to lead to generalizations of the solution generatingtechnique for solitons in NC field theories, which has recently been used inthe construction of branes from other branes in B-field backgrounds and in theconstruction of fluxon solutions of gauge theories. The generalizations involvefamilies of static solutions as well as solutions which depend on euclideantime and interpolate between different configurations. We investigate thephysics of these generalizations in the brane-construction as well as thefluxon context. These results can be interpreted in the light of recentdiscussions on the topology of the configuration space of string fields.Comment: 24 pages in Harvmac bi
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