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Twisted BPS decoupling limits and AdS/CFT

  • Troels Harmark
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Abstract

BPS decoupling limits of string and M-theory have led to profound insights into gravity and non-perturbative quantum theory, most notably with the AdS/CFT correspondence. In this paper, we initiate the study of twisted BPS decoupling limits, in which the relevant BPS states carry momentum along circle fibers geometrically twisted over a base space. Prime examples are found in type IIB string theory on AdS5× S5, for which the twisted limits involve the BPS states of the global symmetry algebra PSU(2,2|4). In general, string fluctuations in a twisted BPS decoupling limit are described by non-relativistic sigma-models on emergent non-Lorentzian target spaces with a natural symplectic structure. This further supports the broader connection between BPS limits and non-Lorentzian geometry. We introduce analogous limits of D-branes as well, probing the same symplectic structure as the string. For AdS5× S5, twisted BPS decoupling limits are dual to Spin Matrix theory limits of 𝒩=4 supersymmetric Yang-Mills theory, providing tractable and explicit quantum-mechanical descriptions of non-perturbative regimes of AdS/CFT.

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Cite

BibTeXRIS
BibTeX
@misc{harmark2026twisted,
  title = {{Twisted BPS decoupling limits and AdS/CFT}},
  author = {Troels Harmark},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.00482},
  eprint = {2610.00482},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.00482},
}
RIS
TY  - UNPB
TI  - Twisted BPS decoupling limits and AdS/CFT
AU  - Troels Harmark
PY  - 2026
DA  - 2026/10/01
PB  - arXiv
DO  - 10.48550/arxiv.2610.00482
UR  - https://arxiv.org/abs/2610.00482
AB  - BPS decoupling limits of string and M-theory have led to profound insights into gravity and non-perturbative quantum theory, most notably with the AdS/CFT correspondence. In this paper, we initiate the study of twisted BPS decoupling limits, in which the relevant BPS states carry momentum along circle fibers geometrically twisted over a base space. Prime examples are found in type IIB string theory on AdS_5× S^5, for which the twisted limits involve the BPS states of the global symmetry algebra PSU(2,2|4). In general, string fluctuations in a twisted BPS decoupling limit are described by non-relativistic sigma-models on emergent non-Lorentzian target spaces with a natural symplectic structure. This further supports the broader connection between BPS limits and non-Lorentzian geometry. We introduce analogous limits of D-branes as well, probing the same symplectic structure as the string. For AdS_5× S^5, twisted BPS decoupling limits are dual to Spin Matrix theory limits of 𝒩=4 supersymmetric Yang-Mills theory, providing tractable and explicit quantum-mechanical descriptions of non-perturbative regimes of AdS/CFT.
ER  -