As was shown recently, non-Abelian vortex strings supported in four-dimensional N=2 supersymmetric QCD with the U(2) gauge group and Nf=4 quark multiplets (flavors) become critical superstrings. In addition to the translational moduli, non-Abelian strings under consideration carry six orientational and size moduli. Together, they form a ten-dimensional target space required for a superstring to be critical. The target space of the string sigma model is a product of the flat four-dimensional space and a Calabi-Yau noncompact threefold, namely, the conifold. We study closed string states which emerge in four dimensions and identify them with hadrons of four-dimensional N=2 QCD. One massless state was found previously; it emerges as a massless hypermultiplet associated with the deformation of the complex structure of the conifold. In this paper, we find a number of massive states. To this end, we exploit the approach used in LST little string theory, namely, the equivalence between the critical string on the conifold and noncritical c=1 string with the Liouville field and a compact scalar at the self-dual radius. The states we find carry "baryonic" charge (its definition differs from standard). We interpret them as "monopole necklaces" formed (at strong coupling) by the closed string with confined monopoles attached.
|Original language||English (US)|
|Journal||Physical Review D|
|State||Published - Aug 15 2017|
Bibliographical noteFunding Information:
The authors are grateful to Peter Koroteev and Xi Yin for very useful and stimulating discussions. This work is supported in part by DOE Grant No. DE-SC0011842. The work of A. Y. was supported by William I. Fine Theoretical Physics Institute at the University of Minnesota and by Russian State Grant for Scientific Schools, Grant No. RSGSS-657512010.2.
© 2017 American Physical Society.