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PreprintCC BY 4.0arXiv

Holographic surface defect RG flows without supersymmetry

  • José Manuel Penín
  • James Ratcliffe
  • Ronnie Rodgers
  • Dimitrios Zoakos
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Abstract

We consider 𝒩=4 supersymmetric Yang--Mills theory with gauge group SU(N), which admits families of conformal surface defects defined by singular boundary conditions for scalar fields that completely break supersymmetry. At large N and strong coupling, these defects are holographically dual either to a probe D5-brane or to one of two new D7-brane embeddings that we introduce in this work. We also construct embeddings of both D5- and D7-branes describing defect renormalisation group (RG) flows, for which the ultraviolet and infrared fixed points are both dual to the same Dp-brane, with different values of a parameter. Our embeddings dual to RG flows are mostly constructed numerically, but we find a regime in which we can derive approximate analytic embeddings using a controlled perturbative expansion. We demonstrate that the b-theorem is satisfied by all of the RG flows that we study.

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Cite

BibTeXRIS
BibTeX
@misc{penin2026holographic,
  title = {{Holographic surface defect RG flows without supersymmetry}},
  author = {José Manuel Penín and James Ratcliffe and Ronnie Rodgers and Dimitrios Zoakos},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.31189},
  eprint = {2610.31189},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.31189},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Holographic surface defect RG flows without supersymmetry
AU  - José Manuel Penín
AU  - James Ratcliffe
AU  - Ronnie Rodgers
AU  - Dimitrios Zoakos
PY  - 2026
DA  - 2026/10/22
PB  - arXiv
DO  - 10.48550/arxiv.2610.31189
UR  - https://arxiv.org/abs/2610.31189
AB  - We consider 𝒩=4 supersymmetric Yang--Mills theory with gauge group SU(N), which admits families of conformal surface defects defined by singular boundary conditions for scalar fields that completely break supersymmetry. At large N and strong coupling, these defects are holographically dual either to a probe D5-brane or to one of two new D7-brane embeddings that we introduce in this work. We also construct embeddings of both D5- and D7-branes describing defect renormalisation group (RG) flows, for which the ultraviolet and infrared fixed points are both dual to the same Dp-brane, with different values of a parameter. Our embeddings dual to RG flows are mostly constructed numerically, but we find a regime in which we can derive approximate analytic embeddings using a controlled perturbative expansion. We demonstrate that the b-theorem is satisfied by all of the RG flows that we study.
ER  -