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On quantum corrections to semiclassical strings on AdS5× S5/ℤL orbifold backgrounds

  • Carlos Barredo Martínez
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Abstract

We consider three families of semiclassical string solutions on AdS5× S5/ℤL orbifold backgrounds which correspond to `twisted' single-trace operators in the SU(2), SU(3) and SL(2) sectors, respectively, of the dual 4d 𝒩=2 quiver gauge theory. The leading quantum correction to the classical energy of each solution is computed, and is matched, despite the lack of maximal supersymmetry, to the corresponding results from finite-size corrections to the twisted Bethe ansatz in the continuum J→∞ limit and the associated Landau-Lifshitz low-energy effective theory. The ℤL quotient allows the string to have fractional winding branches μ=m̃+n/L along orbifolded directions. As such, stability is a property of the full winding branch μ, rather than of the individual twisted sectors n. Restricting to the purely fractional branch (m̃=0), we obtain new stable configurations which were absent in the analogous semiclassical string solutions on AdS5× S5. The energies of these stable states connect smoothly to those of states in relevant BPS sectors as μ→0.

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Cite

BibTeXRIS
BibTeX
@misc{martinez2026quantum,
  title = {{On quantum corrections to semiclassical strings on $\mathrmAdS_5\times S^5/\mathbbZ_L$ orbifold backgrounds}},
  author = {Carlos Barredo Martínez},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2607.27327},
  eprint = {2607.27327},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.27327},
}
RIS
TY  - UNPB
TI  - On quantum corrections to semiclassical strings on AdS_5× S^5/ℤ_L orbifold backgrounds
AU  - Carlos Barredo Martínez
PY  - 2026
DA  - 2026/08/22
PB  - arXiv
DO  - 10.48550/arxiv.2607.27327
UR  - https://arxiv.org/abs/2607.27327
AB  - We consider three families of semiclassical string solutions on AdS_5× S^5/ℤ_L orbifold backgrounds which correspond to `twisted' single-trace operators in the SU(2), SU(3) and SL(2) sectors, respectively, of the dual 4d 𝒩=2 quiver gauge theory. The leading quantum correction to the classical energy of each solution is computed, and is matched, despite the lack of maximal supersymmetry, to the corresponding results from finite-size corrections to the twisted Bethe ansatz in the continuum J→∞ limit and the associated Landau-Lifshitz low-energy effective theory. The ℤ_L quotient allows the string to have fractional winding branches μ=m̃+n/L along orbifolded directions. As such, stability is a property of the full winding branch μ, rather than of the individual twisted sectors n. Restricting to the purely fractional branch (m̃=0), we obtain new stable configurations which were absent in the analogous semiclassical string solutions on AdS_5× S^5. The energies of these stable states connect smoothly to those of states in relevant BPS sectors as μ→0.
ER  -