2008/02/27 by Zhen-Bin Cao, Yi-Shi Duan
Mathematics · Physics and Astronomy · #Graph theory and applications #Noncommutative and Quantum Gravity Theories #Quantum Mechanics and Non-Hermitian Physics #hep-th
paper · pdf · doi:10.1088/0253-6102/51/1/21
published as Commun.Theor.Phys.51:110-114,2009 · 12 pages, no figures
arxiv created 2008/02/27 · openalex publication_date 2009/01/01 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
Generally, open string boundary conditions play a nontrivial role in string theory. For example, in the presence of an antisymmetric tensor background field, they will lead the spacetime coordinates noncommutative. In this paper, we mainly discuss how to build up a generalized Dirichlet normal ordered product of open bosonic string embedding operators that satisfies both the equations of motion and the generalized Dirichlet boundary conditions at the quantum level in the presence of an antisymmetric background field, as the generalized Neumann case has already been discussed in the literature. Further, we also give a brief check of the consistency of the theory under the newly introduced normal ordering.