Hadrons in $\mathcal{N}=2$ supersymmetric QCD from non-Abelian string on 2D black hole
E. Ievlev, A. Marshakov, G. Sumbatian, A. Yung
TLDR
This paper describes hadrons in $\mathcal{N}=2$ SQCD using non-Abelian strings on a 2D black hole, extending to $U(N)$ theories and analyzing phase transitions.
Key contributions
- Extended non-Abelian vortex string analysis for $\mathcal{N}=2$ SQCD to $U(N)$ gauge theory with $N_f=2N$ quarks.
- Demonstrated SQCD hadron spectrum arises from string spectrum on a 2D $\mathcal{N}=2$ supersymmetric black hole.
- Verified high-energy hadronic state multiplicity using both string and field theory calculations.
- Proposed a phase diagram for $\mathcal{N}=2$ SQCD, identifying Higgs and string/hadronic phases separated by a conifold transition.
Why it matters
This paper advances our understanding of hadrons in $\mathcal{N}=2$ SQCD by linking them to string theory on 2D black holes. It clarifies the theory's phase diagram, including a conifold transition, offering new insights into strong coupling dynamics.
Original Abstract
We continue the study of non-Abelian vortex string in 4D $\mathcal{N}=2$ 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 $\mathcal{N}=2$ 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 $\mathcal{N}=2$ 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.
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