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PreprintCC BY 4.0arXiv

Monodromy defects in ABJM theory and integrability

  • Charlotte Kristjansen
  • Andrey Shusharin
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Abstract

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.

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Cite

BibTeXRIS
BibTeX
@misc{kristjansen2026monodromy,
  title = {{Monodromy defects in ABJM theory and integrability}},
  author = {Charlotte Kristjansen and Andrey Shusharin},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.10840},
  eprint = {2608.10840},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.10840},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Monodromy defects in ABJM theory and integrability
AU  - Charlotte Kristjansen
AU  - Andrey Shusharin
PY  - 2026
DA  - 2026/10/30
PB  - arXiv
DO  - 10.48550/arxiv.2608.10840
UR  - https://arxiv.org/abs/2608.10840
AB  - 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.
ER  -