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Title: Critical string from non-Abelian vortex in four dimensions

In a class of non-Abelian solitonic vortex strings supported in certain N = 2 super-Yang–Mills theories we search for the vortex which can behave as a critical fundamental string. We use the Polchinski–Strominger criterion of the ultraviolet completeness. We identify an appropriate four-dimensional bulk theory: it has the U(2) gauge group, the Fayet–Iliopoulos term and four flavor hypermultiplets. It supports semilocal vortices with the world-sheet theory for orientational (size) moduli described by the weighted CP(2,2) model. The latter is superconformal. Its target space is six-dimensional. The overall Virasoro central charge is critical. Lastly, we show that the world-sheet theory on the vortex supported in this bulk model is the bona fide critical string.
Authors:
 [1] ;  [2]
  1. Univ. of Minnesota, Minneapolis, MN (United States)
  2. Univ. of Minnesota, Minneapolis, MN (United States); Petersburg Nuclear Physics Institute, St. Petersburg (Russia); St. Petersburg State Univ., St. Petersburg (Russia)
Publication Date:
Grant/Contract Number:
SC0011842
Type:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 750; Journal Issue: C; Journal ID: ISSN 0370-2693
Publisher:
Elsevier
Research Org:
Univ. of Minnesota, Minneapolis, MN (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
OSTI Identifier:
1222439
Alternate Identifier(s):
OSTI ID: 1241141

Shifman, M., and Yung, A.. Critical string from non-Abelian vortex in four dimensions. United States: N. p., Web. doi:10.1016/j.physletb.2015.09.045.
Shifman, M., & Yung, A.. Critical string from non-Abelian vortex in four dimensions. United States. doi:10.1016/j.physletb.2015.09.045.
Shifman, M., and Yung, A.. 2015. "Critical string from non-Abelian vortex in four dimensions". United States. doi:10.1016/j.physletb.2015.09.045.
@article{osti_1222439,
title = {Critical string from non-Abelian vortex in four dimensions},
author = {Shifman, M. and Yung, A.},
abstractNote = {In a class of non-Abelian solitonic vortex strings supported in certain N = 2 super-Yang–Mills theories we search for the vortex which can behave as a critical fundamental string. We use the Polchinski–Strominger criterion of the ultraviolet completeness. We identify an appropriate four-dimensional bulk theory: it has the U(2) gauge group, the Fayet–Iliopoulos term and four flavor hypermultiplets. It supports semilocal vortices with the world-sheet theory for orientational (size) moduli described by the weighted CP(2,2) model. The latter is superconformal. Its target space is six-dimensional. The overall Virasoro central charge is critical. Lastly, we show that the world-sheet theory on the vortex supported in this bulk model is the bona fide critical string.},
doi = {10.1016/j.physletb.2015.09.045},
journal = {Physics Letters. Section B},
number = C,
volume = 750,
place = {United States},
year = {2015},
month = {9}
}