Hadrons in 𝒩=2 supersymmetric QCD from non-Abelian string on 2D black hole
Abstract
We continue the study of non-Abelian vortex string in 4D 𝒩=2 supersymmetric QCD as critical superstring, and extend this analysis to U(N) gauge theory with arbitrary even N and Nf=2N number of quarks. We introduce a special mass deformation and show that the SQCD hadron spectrum is still given by the string spectrum on the 2D 𝒩=2 supersymmetric black hole. We perform a cross-check by computing the multiplicity of hadronic states of the high-energy part of the spectrum both from string and field theory pictures. We also clarify the spontaneous breaking of the global flavor symmetry by VEV of the massless baryon. We finally claim, that phase diagram of 𝒩=2 SQCD with Nf=2N consists of the Higgs phase at weak coupling and string/hadronic phase at strong coupling, separated by phase transition, and is seen as a conifold transition from string theory point of view.
Versions
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BibTeX
@misc{ievlev2026hadrons,
title = {{Hadrons in $\mathcalN=2$ supersymmetric QCD from non-Abelian string on 2D black hole}},
author = {E. Ievlev and A. Marshakov and G. Sumbatian and A. Yung},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2605.06550},
eprint = {2605.06550},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2605.06550},
}
RIS
TY - UNPB
TI - Hadrons in 𝒩=2 supersymmetric QCD from non-Abelian string on 2D black hole
AU - E. Ievlev
AU - A. Marshakov
AU - G. Sumbatian
AU - A. Yung
PY - 2026
DA - 2026/10/29
PB - arXiv
DO - 10.48550/arxiv.2605.06550
UR - https://arxiv.org/abs/2605.06550
AB - We continue the study of non-Abelian vortex string in 4D 𝒩=2 supersymmetric QCD as critical superstring, and extend this analysis to U(N) gauge theory with arbitrary even N and N_f=2N number of quarks. We introduce a special mass deformation and show that the SQCD hadron spectrum is still given by the string spectrum on the 2D 𝒩=2 supersymmetric black hole. We perform a cross-check by computing the multiplicity of hadronic states of the high-energy part of the spectrum both from string and field theory pictures. We also clarify the spontaneous breaking of the global flavor symmetry by VEV of the massless baryon. We finally claim, that phase diagram of 𝒩=2 SQCD with N_f=2N consists of the Higgs phase at weak coupling and string/hadronic phase at strong coupling, separated by phase transition, and is seen as a conifold transition from string theory point of view.
ER -