TY - JOUR

T1 - Non-Abelian flux tubes in N=1 SQCD

T2 - Supersizing world-sheet supersymmetry

AU - Shifman, M.

AU - Yung, A.

N1 - Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.

PY - 2005/10/15

Y1 - 2005/10/15

N2 - 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 μ1,2 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 μ1,2. The low-energy theory of moduli is indeed CP(1), with four supercharges, in a wide region of breaking parameters μ1,2. Only in the limit of very large μ1,2, 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.

AB - 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 μ1,2 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 μ1,2. The low-energy theory of moduli is indeed CP(1), with four supercharges, in a wide region of breaking parameters μ1,2. Only in the limit of very large μ1,2, 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.

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U2 - 10.1103/PhysRevD.72.085017

DO - 10.1103/PhysRevD.72.085017

M3 - Article

AN - SCOPUS:29744461899

VL - 72

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 8

M1 - 085017

ER -