Loop operators and the Kondo problem
Loop operators and the Kondo problem
复制标题
循环运算符和近藤问题
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
M. Gaberdiel
中科院分区：
文献类型：
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作者：
C. Bachas;M. Gaberdiel
我们从边界态的角度分析了WZW模型中D-膜的重整化群流。为此，我们考虑循环运营商的扰动边界状态远离他们的紫外线不动点，并展示如何正则化和renormalise他们一贯的全球对称性的问题。我们特别注意的手征运营商，只依赖于左移动的电流，这是吸引子的重整化群流。我们检查（最低的非平凡顺序的耦合常数），在其稳定的红外固定点，这些运营商测量量子monodromies，与以前的半经典研究。我们的研究结果有助于澄清边界转移矩阵和缺陷线之间的一般关系，这平行（非交换）字段之间的关系（一堆）D-膜和他们的推进到目标空间散装。
We analyse the renormalisation group flow for D-branes in WZW models from the point of view of the boundary states. To this end we consider loop operators that perturb the boundary states away from their ultraviolet fixed points, and show how to regularise and renormalise them consistently with the global symmetries of the problem. We pay particular attention to the chiral operators that only depend on left-moving currents, and which are attractors of the renormalisation group flow. We check (to lowest non-trivial order in the coupling constant) that at their stable infrared fixed points these operators measure quantum monodromies, in agreement with previous semiclassical studies. Our results help clarify the general relationship between boundary transfer matrices and defect lines, which parallels the relation between (non-commutative) fields on (a stack of) D-branes and their push-forwards to the target-space bulk.