Studying critical string emerging from non-Abelian vortex in four dimensions

P. Koroteev, Mikhail "Misha" Shifman, A. Yung

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Abstract

Recently a special vortex string was found [5] in a class of soliton vortices supported in four-dimensional Yang-Mills theories that under certain conditions can become infinitely thin and can be interpreted as a critical ten-dimensional string. The appropriate bulk Yang-Mills theory has the U(2) gauge group and the Fayet-Iliopoulos term. It supports semilocal non-Abelian vortices with the world-sheet theory for orientational and size moduli described by the weighted CP(2, 2) model. The full target space is R4×Y6 where Y6 is a non-compact Calabi-Yau space. We study the above vortex string from the standpoint of string theory, focusing on the massless states in four dimensions. In the generic case all massless modes are non-normalizable, hence, no massless gravitons or vector fields are predicted in the physical spectrum. However, at the selfdual point (at strong coupling) weighted CP(2, 2) admits deformation of the complex structure, resulting in a single massless hypermultiplet in the bulk. We interpret it as a composite "baryon.".

Original languageEnglish (US)
Pages (from-to)154-158
Number of pages5
JournalPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume759
DOIs
StatePublished - Aug 10 2016

Bibliographical note

Funding Information:
The work of M.S. is supported in part by DOE grant DE-SC0011842 . The work of A.Y. was supported by William I. Fine Theoretical Physics Institute, University of Minnesota , by Russian Foundation for Basic Research Grant No. 13-02-00042a and by Russian State Grant for Scientific Schools RSGSS-657512010.2 . The work of A.Y. was supported by the Russian Scientific Foundation Grant No. 14-22-00281 . P.K. would like to thank W. Fine Institute for Theoretical Physics at the University of Minnesota for kind hospitality during his visit, where part of his work was done. The research of P.K. was supported in part by the Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through Industry Canada and by the Province of Ontario through the Ontario Ministry of Economic Development and Innovation .

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