Index theorem for non-supersymmetric fermions coupled to a non-Abelian string and electric charge quantization

M. Shifman, A. Yung

Research output: Contribution to journalArticlepeer-review

Abstract

Non-Abelian strings are considered in non-supersymmetric theories with fermions in various appropriate representations of the gauge group U(N). We derive the electric charge quantization conditions and the index theorems counting fermion zero modes in the string background both for the left-handed and right-handed fermions. In both cases we observe a non-Trivial N dependence.

Original languageEnglish (US)
Article number1850053
JournalModern Physics Letters A
Volume33
Issue number9
DOIs
StatePublished - Mar 21 2018

Bibliographical note

Funding Information:
This work is supported in part by DOE grant DE-SC0011842. The work of M.S. was supported in part by the National Science Foundation under Grant No. NSF PHY-1125915. M.S. is grateful to KITP where this paper was completed for kind hospitality extended to him during the workshop “Resurgence 17.” The work of A.Y. was supported by William I. Fine Theoretical Physics Institute at the University of Minnesota, by the Russian Foundation for Basic Research Grant No. 18-02-00048 and by Russian State Grant for Scientific Schools RSGSS-657512010.2.

Funding Information:
National Science Foundation under Grant No. NSFPHY-1125915

Publisher Copyright:
© 2018 World Scientific Publishing Company.

Keywords

  • Solitons
  • charge quantization
  • index theorem
  • non-Abelian vortex strings

Fingerprint

Dive into the research topics of 'Index theorem for non-supersymmetric fermions coupled to a non-Abelian string and electric charge quantization'. Together they form a unique fingerprint.

Cite this