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ABJM理论中的单值化缺陷与可积性

Monodromy defects in ABJM theory and integrability

Charlotte Kristjansen, Andrey Shusharin

arXiv 2608.10840首次发表:更新:

AI 中文总结

该研究证明ABJM理论的超对称单值化缺陷(涡旋环)对应交替SU(4)自旋链的可积边界态,推导非保护算符领头阶单点函数闭式,重现特定三点函数的自旋链重叠,还研究缺陷背景的量子化并讨论公式推广。

AI 中文摘要

我们证明,ABJM理论中的超对称单值化缺陷(也称为涡旋环)定义了其 underlying 交替SU(4)自旋链的可积边界态。利用代数Bethe ansatz框架内的KT关系,我们推导了存在这些缺陷时非保护算符的领头阶单点函数的闭式表达式。作为特殊情况,该结果重现了控制两个极大巨引力子与一个极小引力子的三点函数的自旋链重叠。我们还研究了缺陷背景下理论的量子化,并在最简情形下计算了单点函数的一阶量子修正。最后,我们讨论了该重叠公式的可能推广方向。

英文摘要

We establish that supersymmetric monodromy defects in ABJM theory, also known as vortex loops, define integrable boundary states of the underlying alternating SU(4) spin chain. Exploiting the KT relation within the framework of the algebraic Bethe ansatz, we derive a closed-form expression for the leading-order one-point functions of non- protected operators in the presence of these defects. As a special case, our result reproduces the spin-chain overlap governing the three-point functions of two maximal giant gravitons and a single tiny graviton. We furthermore investigate the quantization of the theory in the defect background and compute the first quantum correction to the one-point functions in the simplest setting. Finally, we discuss possible extensions of our overlap formula.

Comments31 pages, 2 figures

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