Supersymmetrizing the Gorsky-Shifman-Yung soliton
Abstract
We supersymmetrize the Hopfion studied by Gorsky et al. This soliton represents a closed semilocal vortex string in U(1) gauge theory. It carries nonzero Hopf number due to the additional winding of a phase modulus as one moves along the closed string. We study this solution in $$\mathcal{N}=2$$ supersymmetric QED with two flavors. As a preliminary exercise, we compactify one space dimension and consider a straight vortex with periodic boundary conditions. It turns out to be $1/2$-BPS saturated. An additional winding along the string can be introduced and it does not spoil the BPS nature of the object. Next, we consider a ringlike vortex in a non-compact space and show that the circumference of the ring $L$ can be stabilized once the previously mentioned winding along the string is introduced. Of course, the ringlike vortex is not BPS but its energy becomes close to the BPS bound if $L$ is large, which can be guaranteed in the case that we have a large value of the angular momentum $J$. Thus we arrive at the concept of asymptotically BPS-saturated solitons. BPS saturation is achieved in the limit $$J{\rightarrow}{\infty}$$.
- Authors:
- Publication Date:
- Research Org.:
- Univ. of Minnesota, Minneapolis, MN (United States); National Research Center “Kurchatov Inst.”, St. Petersburg (Russian Federation)
- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25); Russian Foundation for Basic Research; Russian State Grant for Scientific Schools
- OSTI Identifier:
- 1439372
- Alternate Identifier(s):
- OSTI ID: 1503899
- Grant/Contract Number:
- SC0011842; 18-02-00048; RSGSS-657512010.2
- Resource Type:
- Published Article
- Journal Name:
- Physical Review D
- Additional Journal Information:
- Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 10; Journal ID: ISSN 2470-0010
- Publisher:
- American Physical Society
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; solitons; vortices in field theory
Citation Formats
Ireson, E., Shifman, M., and Yung, A. Supersymmetrizing the Gorsky-Shifman-Yung soliton. United States: N. p., 2018.
Web. doi:10.1103/PhysRevD.97.105021.
Ireson, E., Shifman, M., & Yung, A. Supersymmetrizing the Gorsky-Shifman-Yung soliton. United States. doi:10.1103/PhysRevD.97.105021.
Ireson, E., Shifman, M., and Yung, A. Tue .
"Supersymmetrizing the Gorsky-Shifman-Yung soliton". United States. doi:10.1103/PhysRevD.97.105021.
@article{osti_1439372,
title = {Supersymmetrizing the Gorsky-Shifman-Yung soliton},
author = {Ireson, E. and Shifman, M. and Yung, A.},
abstractNote = {We supersymmetrize the Hopfion studied by Gorsky et al. This soliton represents a closed semilocal vortex string in U(1) gauge theory. It carries nonzero Hopf number due to the additional winding of a phase modulus as one moves along the closed string. We study this solution in $\mathcal{N}=2$ supersymmetric QED with two flavors. As a preliminary exercise, we compactify one space dimension and consider a straight vortex with periodic boundary conditions. It turns out to be $1/2$-BPS saturated. An additional winding along the string can be introduced and it does not spoil the BPS nature of the object. Next, we consider a ringlike vortex in a non-compact space and show that the circumference of the ring $L$ can be stabilized once the previously mentioned winding along the string is introduced. Of course, the ringlike vortex is not BPS but its energy becomes close to the BPS bound if $L$ is large, which can be guaranteed in the case that we have a large value of the angular momentum $J$. Thus we arrive at the concept of asymptotically BPS-saturated solitons. BPS saturation is achieved in the limit $J{\rightarrow}{\infty}$.},
doi = {10.1103/PhysRevD.97.105021},
journal = {Physical Review D},
number = 10,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevD.97.105021
DOI: 10.1103/PhysRevD.97.105021
Other availability
Search WorldCat to find libraries that may hold this journal
Cited by: 1 work
Citation information provided by
Web of Science
Web of Science
Save to My Library
You must Sign In or Create an Account in order to save documents to your library.
Works referenced in this record:
On the stability of p -brane
journal, February 1995
- Demkin, P.
- Classical and Quantum Gravity, Vol. 12, Issue 2
Effective world-sheet theory for non-Abelian semilocal strings in supersymmetric QCD
journal, June 2011
- Shifman, M.; Vinci, W.; Yung, A.
- Physical Review D, Vol. 83, Issue 12
Relativistic minimal surfaces
journal, October 1987
- Hoppe, Jens; Nicolai, Hermann
- Physics Letters B, Vol. 196, Issue 4
Critical string from non-Abelian vortex in four dimensions
journal, November 2015
- Shifman, M.; Yung, A.
- Physics Letters B, Vol. 750
Stationary ring solitons in field theory — Knots and vortons
journal, November 2008
- Radu, Eugen; Volkov, Mikhail S.
- Physics Reports, Vol. 468, Issue 4
Flux tubes on Higgs branches in SUSY gauge theories
journal, July 2003
- Evlampiev, K.; Yung, A.
- Nuclear Physics B, Vol. 662, Issue 1-2
An Expression of Hopf's Invariant as an Integral
journal, May 1947
- Whitehead, J. H. C.
- Proceedings of the National Academy of Sciences, Vol. 33, Issue 5
More on the tensorial central charges in supersymmetric gauge theories: BPS wall junctions and strings
journal, February 2000
- Gorsky, A.; Shifman, M.
- Physical Review D, Vol. 61, Issue 8
Critical non-Abelian vortex in four dimensions and little string theory
journal, August 2017
- Shifman, M.; Yung, A.
- Physical Review D, Vol. 96, Issue 4
Supersymmetry of tensionless rotating strings in AdS 5 × S 5 , and nearly-BPS operators
journal, December 2003
- Mateos, David; Mateos, Toni; Townsend, Paul K.
- Journal of High Energy Physics, Vol. 2003, Issue 12
Semilocal and electroweak strings
journal, April 2000
- Achúcarro, A.
- Physics Reports, Vol. 327, Issue 6
Comments on supercurrent multiplets, supersymmetric field theories and supergravity
journal, July 2010
- Komargodski, Zohar; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2010, Issue 7
Revisiting the Faddeev-Skyrme model and Hopf solitons
journal, August 2013
- Gorsky, A.; Shifman, M.; Yung, A.
- Physical Review D, Vol. 88, Issue 4
Non-Abelian vortex in four dimensions as a critical string on a conifold
journal, September 2016
- Koroteev, P.; Shifman, M.; Yung, A.
- Physical Review D, Vol. 94, Issue 6