2002/02/28 by Kazuyuki Furuuchi · 4 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Algebra representation #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Cellular algebra #Field (mathematics) #Mathematical physics #Mathematics #N = 2 superconformal algebra #Noncommutative and Quantum Gravity Theories #Open string #Pure mathematics #String (physics) #String field theory #hep-th
paper · pdf · doi:10.1016/s0550-3213(02)00486-8
published in Nuclear Physics B 640(1-2), 145-170 (Elsevier BV) · v1: 28pages, latex v2: few explanations added, minor corrections, ref added, 29pages, accepted for publication in Nucl. Phys. B
arxiv created 2002/08/21 · openalex publication_date 2002/09/01 · arxiv updated 2015/06/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
There are several equivalent descriptions for constant B-field background of open string. The background can be interpreted as constant B-field as well as constant gauge field strength or infinitely many D-branes with non-commuting Chan-Paton matrices. In this article, the equivalence of these open string theories is studied in Witten's cubic open string field theory. Through the map between these equivalent descriptions, both algebra of non-commutative coordinates as well as Chan-Paton matrix algebra are identified with subalgebras of open string field algebra.