2003/12/31 by Giovanni Feverati
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Bethe ansatz #Boundary (topology) #Boundary conformal field theory #Boundary value problem #Conformal field theory #Conformal map #Degenerate energy levels #Geometry #Integrable system #Ising model #Mathematical analysis #Mathematical physics #Mathematics #Mixed boundary condition #Physics #Quantum many-body systems #Quantum mechanics #Renormalization group #Robin boundary condition #Scaling #Scaling limit #Superposition principle #Theoretical and Computational Physics #hep-th
paper · pdf · doi:10.1088/1742-5468/2004/03/p001
published as J.Stat.Mech.0403:P03001,2004 · 14 pages, 2 figures
arxiv created 2004/02/09 · openalex publication_date 2004/03/17 · arxiv updated 2011/02/16 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The integrable perturbation of the degenerate boundary condition ( d ) by the φ 1,3 boundary field generates a renormalization group flow down to the superposition of Cardy boundary states (+)&(−). Exact thermodynamic Bethe ansatz (TBA) equations for all the excited states are derived here extending the results of Feverati et al (2003 Nucl. Phys. B 675 469) to this case. As an intermediate step, the non-Cardy boundary conformal sector (+)&(−) is also described as the scaling limit of an A 4 lattice model with appropriate integrable boundary conditions and produces the first example of superposition of finitized Virasoro characters.