2005/01/31 by M. Shifman, Mikhail Shifman, A. Yung · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1103/physrevd.72.085017
published as Phys.Rev.D72:085017,2005 · 41 pages, 3 figures; v2: minor corrections in Eqs. (4.9), (4.10), (5.1). Final version to appear in PRD
arxiv created 2005/10/11 · openalex publication_date 2005/10/19 · arxiv updated 2010/05/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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 \ensuremathμ1,2 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\ensuremath-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 \ensuremathμ1,2. The low-energy theory of moduli is indeed CP(1), with four supercharges, in a wide region of breaking parameters \ensuremathμ1,2. Only in the limit of very large \ensuremathμ1,2, 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.