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PreprintCC BY 4.0arXiv

Hidden Supersymmetry in AdS/QCD models for Fermions

Abstract

We show that the chiral modes splitted from the Dirac equation satisfying Schrodinger-like equations in the context of deformed AdS/QCD model are isospectral, since the chiral effective potentials are SUSY partners. In particular, we show how to perform truncations of these potentials that preserve isospectrality of the chiral modes. Following this prescription, we compare a quadratic approximation of the deformed AdS model with the dressed soft wall model for fermions and show how the spectra of both models can coincide.

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BibTeX
@misc{costasilva2026hidden,
  title = {{Hidden Supersymmetry in AdS/QCD models for Fermions}},
  author = {Rafael A. Costa-Silva and Henrique Boschi-Filho},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.22806},
  eprint = {2610.22806},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.22806},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Hidden Supersymmetry in AdS/QCD models for Fermions
AU  - Rafael A. Costa-Silva
AU  - Henrique Boschi-Filho
PY  - 2026
DA  - 2026/10/16
PB  - arXiv
DO  - 10.48550/arxiv.2610.22806
UR  - https://arxiv.org/abs/2610.22806
AB  - We show that the chiral modes splitted from the Dirac equation satisfying Schrodinger-like equations in the context of deformed AdS/QCD model are isospectral, since the chiral effective potentials are SUSY partners. In particular, we show how to perform truncations of these potentials that preserve isospectrality of the chiral modes. Following this prescription, we compare a quadratic approximation of the deformed AdS model with the dressed soft wall model for fermions and show how the spectra of both models can coincide.
ER  -