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- Title
Non-Abelian vortex in four dimensions as a critical superstring.
- Authors
Shifman, M.; Yung, A.
- Abstract
We discuss recent progress in describing a certain non-Abelian vortex string as a critical superstring on a conifold and clarify some subtle points. This particular solitonic vortex is supported in four-dimensional supersymmetric QCD with the gauge group, N = 4 quark flavors and the Fayet-Iliopoulos term. Under certain conditions, the non-Abelian vortex can become infinitely thin and can be interpreted as a critical ten-dimensional superstring. In addition to four translational moduli, the non-Abelian vortex under consideration carries six orientational and size moduli. The vortex moduli dynamics are described by a twodimensional sigma model with the target space ℝ × Y , where Y is a non-compact Calabi-Yau conifold. The closed string states that emerge in four dimensions (4D) are identified with hadrons of 4D bulk N= 2 QCD. It turns out that most of the states arising from the ten-dimensional graviton spectrum are non-dynamical in 4D. A single dynamical massless hypermultiplet associated with the deformation of the complex structure of the conifold is found. It is interpreted as a monopole-monopole baryon of the 4D theory (at strong coupling).
- Subjects
NONABELIAN groups; SUPERSTRING theories; VORTEX motion; MODULI theory; QUANTUM chromodynamics
- Publication
JETP Letters, 2017, Vol 105, Issue 1, p60
- ISSN
0021-3640
- Publication type
Article
- DOI
10.1134/S0021364017010040