2003/04/30 by Theodore Erler, Theodore G. Erler · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Commutative property #Geometry #Gravitational singularity #Mathematical analysis #Mathematical physics #Mathematics #Midpoint #Non-critical string theory #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum gravity #Quantum mechanics #Relationship between string theory and quantum field theory #Star product #String (physics) #String field theory #Type I string theory #hep-th
paper · pdf · doi:10.1088/1126-6708/2005/03/042
published as JHEP0503:042,2005 · 40 pages, 5 figures. Version to be submitted to JHEP. Some interesting and previouusly unpublished results are included here. These include both an interpretation of poles in the open string noncommutativity parameter as corresponding to null operators in the algebra, and an identification of an infinite sequence of new commutative and null coordinates in the complex $κ$ plane
arxiv created 2004/08/12 · openalex publication_date 2005/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we study the midpoint structure of the algebra of open strings from the standpoint of the operator/Moyal formalism. We construct a split string description for the continuous Moyal product of hep-th/0202087, study the breakdown of associativity in the star algebra, and identify in infinite sequence of new (anti)commutative coordinates for the star product in in the complex plane. We also explain how poles in the open string non(anti)commutativity parameter correspond to certain ``null'' operators which annihilate the vertex, implying that states proportional to such operators tend to have vanishing star product with other string fields. The existence of such poles, we argue, presents an obstruction to realizing a well-defined formulation of the theory in terms of a Moyal product. We also comment on the interesting, but singular, representation L0 which has appeared prominently in the recent studies of Bars \it et al.