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Title: Non-Abelian flux tubes in N=1 SQCD: Supersizing world-sheet supersymmetry

Abstract

We consider non-Abelian 1/2 Bogomol'nyi-Prasad-Sommerfield (BPS) flux tubes (strings) in a deformed N=2 supersymmetric gauge theory, with mass terms {mu}{sub 1,2} of the adjoint fields breaking N=2 down to N=1. The main feature of the non-Abelian strings is the occurrence of orientational moduli associated with the possibility of rotations of their color fluxes inside a global SU(N) group. The bulk four-dimensional theory has four supercharges; half-criticality of the non-Abelian strings would imply then N=1 supersymmetry on the world sheet, i.e. two supercharges. In fact, superalgebra of the reduced moduli space has four supercharges. Internal dynamics of the orientational moduli are described by a two-dimensional CP(N-1) model on the string world sheet. We focus mainly on the SU(2) case, i.e. CP(1) world-sheet theory. We show that non-Abelian BPS strings exist for all values of {mu}{sub 1,2}. The low-energy theory of moduli is indeed CP(1), with four supercharges, in a wide region of breaking parameters {mu}{sub 1,2}. Only in the limit of very large {mu}{sub 1,2}, above some critical value does the N=2 world-sheet supersymmetry break down to N=1. We observe 'supersymmetry emergence' for the flux-tube junction (confined monopole): The kink-monopole is half-critical considered from the standpoint of the world-sheet CP(1) modelmore » (i.e. two supercharges conserved), while in the bulk N=1 theory there is no monopole central charge at all.« less

Authors:
 [1];  [1]
  1. William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
Publication Date:
OSTI Identifier:
20713771
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 72; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.72.085017; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BAG MODEL; CP INVARIANCE; GAUGE INVARIANCE; MAGNETIC MONOPOLES; QUANTUM CHROMODYNAMICS; ROTATION; STRING MODELS; SU-2 GROUPS; SUPERSYMMETRY; SYMMETRY BREAKING

Citation Formats

Shifman, M, Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188300, Yung, A, Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188300, and Institute of Theoretical and Experimental Physics, Moscow 117259. Non-Abelian flux tubes in N=1 SQCD: Supersizing world-sheet supersymmetry. United States: N. p., 2005. Web. doi:10.1103/PhysRevD.72.085017.
Shifman, M, Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188300, Yung, A, Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188300, & Institute of Theoretical and Experimental Physics, Moscow 117259. Non-Abelian flux tubes in N=1 SQCD: Supersizing world-sheet supersymmetry. United States. https://doi.org/10.1103/PhysRevD.72.085017
Shifman, M, Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188300, Yung, A, Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188300, and Institute of Theoretical and Experimental Physics, Moscow 117259. 2005. "Non-Abelian flux tubes in N=1 SQCD: Supersizing world-sheet supersymmetry". United States. https://doi.org/10.1103/PhysRevD.72.085017.
@article{osti_20713771,
title = {Non-Abelian flux tubes in N=1 SQCD: Supersizing world-sheet supersymmetry},
author = {Shifman, M and Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188300 and Yung, A and Petersburg Nuclear Physics Institute, Gatchina, St. Petersburg 188300 and Institute of Theoretical and Experimental Physics, Moscow 117259},
abstractNote = {We consider non-Abelian 1/2 Bogomol'nyi-Prasad-Sommerfield (BPS) flux tubes (strings) in a deformed N=2 supersymmetric gauge theory, with mass terms {mu}{sub 1,2} of the adjoint fields breaking N=2 down to N=1. The main feature of the non-Abelian strings is the occurrence of orientational moduli associated with the possibility of rotations of their color fluxes inside a global SU(N) group. The bulk four-dimensional theory has four supercharges; half-criticality of the non-Abelian strings would imply then N=1 supersymmetry on the world sheet, i.e. two supercharges. In fact, superalgebra of the reduced moduli space has four supercharges. Internal dynamics of the orientational moduli are described by a two-dimensional CP(N-1) model on the string world sheet. We focus mainly on the SU(2) case, i.e. CP(1) world-sheet theory. We show that non-Abelian BPS strings exist for all values of {mu}{sub 1,2}. The low-energy theory of moduli is indeed CP(1), with four supercharges, in a wide region of breaking parameters {mu}{sub 1,2}. Only in the limit of very large {mu}{sub 1,2}, above some critical value does the N=2 world-sheet supersymmetry break down to N=1. We observe 'supersymmetry emergence' for the flux-tube junction (confined monopole): The kink-monopole is half-critical considered from the standpoint of the world-sheet CP(1) model (i.e. two supercharges conserved), while in the bulk N=1 theory there is no monopole central charge at all.},
doi = {10.1103/PhysRevD.72.085017},
url = {https://www.osti.gov/biblio/20713771}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 8,
volume = 72,
place = {United States},
year = {Sat Oct 15 00:00:00 EDT 2005},
month = {Sat Oct 15 00:00:00 EDT 2005}
}