SU的单值引导程序（2| 2）量子谱曲线：从哈伯德模型到AdS3/CFT2
Monodromy Bootstrap for SU(2|2) Quantum Spectral Curves: From Hubbard model to AdS3/CFT2
摘要：
我们提出了一个程序来获得量子光谱曲线的AdS/CFT型，通过要求一个专门设计的分析继续周围的分支点的结果在一个自同构的基础代数结构。这样我们就得到了四条新的曲线。两个基于SU（2| 2）对称性，并证明了其中一个在平方根分支点的假设下描述了哈伯德模型。另外两个是基于SU（2| 2）x SU（2| 2）。在中心荷为零的特殊子情形下，它们都归结为唯一的非平凡曲线，并且具有与PSU（1，1）相容的解析性质|2）x PSU（1，1| 2）实形式。一个自然的猜想是，这是由RR通量支持的AdS/CFT可积系统的量子谱曲线，其背景为AdS 3 × S3 × T4。我们支持的猜想，验证其一致性的大规模部门的渐近贝特方程在大体积政权。对于这个谱曲线，它是强制性的，分支点不是平方根类型的定性区分它从以前已知的情况。
英文摘要：
We propose a procedure to derive quantum spectral curves of AdS/CFT type by requiring that a specially designed analytic continuation around the branch point results in an automorphism of the underlying algebraic structure. In this way we derive four new curves. Two are based on SU(2|2) symmetry, and we show that one of them, under the assumption of square root branch points, describes Hubbard model. Two more are based on SU(2|2) x SU(2|2). In the special subcase of zero central charge, they both reduce to the unique nontrivial curve which furthermore has analytic properties compatible with PSU(1,1|2) x PSU(1,1|2) real form. A natural conjecture follows that this is the quantum spectral curve of AdS/CFT integrable system with AdS3 x S3 x T4 background supported by RR-flux. We support the conjecture by verifying its consistency with the massive sector of asymptotic Bethe equations in the large volume regime. For this spectral curve, it is compulsory that branch points are not of the square root type which qualitatively distinguishes it from the previously known cases.
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