Non-Abelian vortex in four dimensions as a critical superstring

Citation data:

JETP Letters, ISSN: 0021-3640, Vol: 105, Issue: 1, Page: 60-68

Publication Year:
2017
Usage 3
Abstract Views 3
DOI:
10.1134/s0021364017010040
Author(s):
M. Shifman, A. Yung
Publisher(s):
Pleiades Publishing Ltd
Tags:
Physics and Astronomy
article description
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 Yis 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).

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