2002/01/31 by Li-Sheng Tseng · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Boson #Boundary (topology) #Boundary conformal field theory #Boundary value problem #Conformal map #Noncommutative geometry #Orbifold #Quantum Mechanics and Non-Hermitian Physics #Quotient #hep-th
paper · pdf · doi:10.1088/1126-6708/2002/04/051
published as JHEP 0204:051,2002 · 21 pages, harvmac; v2: minor clarification in section 3.4; v3: a discussion on cocycles added in section 2, and low energy limit mistake removed and clarifications added in section 4.2
openalex publication_date 2002/04/26 · arxiv created 2002/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We comment on the conformal boundary states of the c=1 free boson theory on a circle which do not preserve the U(1) symmetry. We construct these Virasoro boundary states at a generic radius by a simple asymmetric shift orbifold acting on the fundamental boundary states at the self-dual radius. We further calculate the boundary entropy and find that the Virasoro boundary states at irrational radius have infinite boundary entropy. The corresponding open string description of the asymmetric orbifold is given using the quotient algebra construction. Moreover, we find that the quotient algebra associated with a non-fundamental boundary state contains the noncommutative Weyl algebra.