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Topological charges of noncommutative soliton

2000/09/09 by Yutaka Matsuo, Y. Matsuo · 26 citations
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Commutative property #D-brane #Noncommutative and Quantum Gravity Theories #Noncommutative geometry #Noncommutative quantum field theory #Projection (relational algebra) #Soliton #String (physics) #Tachyon #Topological quantum number #hep-th

paper · pdf · doi:10.1016/s0370-2693(01)00033-8

published in Physics Letters B 499(1-2), 223-228 (Elsevier BV) · 12 pages, LaTeX; Ver.2 corrected typos; Ver.3 added a few references

arxiv created 2000/09/09 · openalex publication_date 2001/02/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The noncommutative soliton is characterized by the use of the projection operators in non-commutative space. By using the close relation with the K-theory of C^*-algebra, we consider the variations of projection operators along the commutative directions and identify their topological charges. When applied to the string theory, it gives the modification of the brane charges due to tachyon background.

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