Non-Abelian flux tubes in N=1 SQCD: Supersizing world-sheet supersymmetry
- William I. Fine Theoretical Physics Institute, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
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.
- OSTI ID:
- 20713771
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 72, Issue 8; Other Information: DOI: 10.1103/PhysRevD.72.085017; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
Similar Records
Heterotically deformed sigma models on the world sheet of semilocal strings in supersymmetric QED
Moduli space potentials for heterotic non-Abelian flux tubes: Weak deformation