5-loop Konishi from linearized TBA and the XXX magnet

Semiclassical string computation of strong-coupling corrections to dimensions of operators in Konishi multiplet

Following our earlier work in arXiv:0906.4294 we show how to use semiclassical string quantization approach to compute the leading corrections to the energy of AdS_5 x S^5 string states on the first excited string level that should correspond to operators in the Konishi multiplet of N=4 SYM theory. Compared to examples in our previous paper the string solutions we consider here carry an extra component of S^5 angular momentum J. This facilitates their identification with operators in the Konishi multiplet. We show that for such string states with J=2 the coefficient of the subleading lambda^(-…

可积XXX临界自旋链在小外场极限下的解析渐近行为：基于TBA

Analytic asymptotics of the integrable XXX critical spin chains in the small external-field limit from TBA

从线性TBA积分方程出发，研究反铁磁临界点处可积XXX自旋链在红外极限下的渐近展开，发现微扰级数与正弦-戈登模型通过耦合常数符号翻转相关联，并计算了指数小修正的微扰系数。

Functional Bethe ansatz methods for the open XXX chain

We study the spectrum of the integrable open XXX Heisenberg spin chain subject to non-diagonal boundary magnetic fields. The spectral problem for this model can be formulated in terms of functional equations obtained by separation of variables or, equivalently, from the fusion of transfer matrices. For generic boundary conditions the eigenvalues cannot be obtained from the solution of finitely many algebraic Bethe equations. Based on careful finite size studies of the analytic properties of the underlying hierarchy of transfer matrices we devise two approaches to analyze the functional equatio…