Integrable Boundaries and Universal TBA Functional Equations
Integrable Boundaries and Universal TBA Functional Equations
复制标题
可积边界和通用 TBA 函数方程
DOI：
10.1007/978-1-4612-0087-1_14
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发表时间：
2001
期刊：
影响因子：
--
通讯作者：
P. Pearce
中科院分区：
文献类型：
--
作者：
C. Chui;C. Mercat;P. Pearce
本文导出了与共形场论的s_（2）幺正极小模型、仿费米模型和超对称模型有关的临界A-D-E格点模型的函数方程的融合族，并导出了相应的TBA函数方程。推导使用融合投影仪和适用于所有已知的可积边界条件的环面和圆柱体的存在。所得到的TBA泛函方程是普适的，因为它们只依赖于A-D-E图的Coxeter数，而与特定的可积边界条件无关。我们一般地猜想，TBA泛函方程对于所有与有理CFTs及其可积扰动相关的可积格点模型都是普适的。
We derive the fusion hierarchy of functional equations for criticalA-D-Elattice models related to the sℓ (2) unitary minimal models, the parafermionic models and the supersymmetric models of conformal field theory and deduce the related TBA functional equations. The derivation uses fusion projectors and applies in the presence of all known integrable boundary conditions on the torus and cylinder. The resulting TBA functional equations areuniversalin the sense that they depend only on the Coxeter number of theA-D-Egraph and are independent of the particular integrable boundary conditions. We conjecture generally that TBA functional equations are universal for all integrable lattice models associated with rational CFTs and their integrable perturbations.