Moduli Space Potentials for Heterotic non-Abelian Flux Tubes: Weak Deformation

Abstract

We consider N=2 supersymmetric QCD with the U(N) gauge group (with no Fayet-Iliopoulos term) and N_f flavors of massive quarks deformed by the mass term μfor the adjoint matter, W=μA^2, assuming that N\leq N_f<2N. This deformation breaks N=2 supersymmetry down to N=1. This theory supports non-Abelian flux tubes (strings) which are stabilized by W. They are referred to as F-term stabilized strings. We focus on the studies of such strings in the vacuum in which N squarks condense, at small μ, so that the Z_N strings preserve, in a sense, their BPS nature. We calculate string tensions both in the classical and quantum regimes. Then we translate our results for the tensions in terms of the effective low-energy weighted CP(N_f-1) model on the string world sheet. The bulk μ-deformation makes this theory N= (0,2) supersymmetric heterotic weighted CP(N_f-1) model in two dimensions. We find the deformation potential on the world sheet. This significantly expands the class of the heterotically deformed CP models emerging on the string world sheet compared to that suggested by Edalati and Tong. Among other things, we show that nonperturbative quantum effects in the bulk theory are exactly reproduced by the quantum effects in the world-sheet theory.

39 pages, 1 fig; v2: 1 reference added, two explanatory remarks added; Final version, to appear in PRD

References in corpus (6)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• TASI Lectures on Solitons
• On the moduli space of semilocal strings and lumps
• Non-Abelian Confinement in N=2 Supersymmetric QCD: Duality and Kinks on Confining Strings
• The Quantum Dynamics of Heterotic Vortex Strings
• Superconformal Vortex Strings

Cited by in corpus (13)

• Lessons from supersymmetry: "Instead-of-Confinement" Mechanism
• Non-Abelian Duality and Confinement: from N=2 to N=1 Supersymmetric QCD
• r Duality and "Instead-of-Confinement" Mechanism in N=1 Supersymmetric QCD
• Large-N Solution of the Heterotic CP(N-1) Model with Twisted Masses
• Non-Abelian strings in N=1 supersymmetric QCD
• Detailing N=1 Seiberg's Duality through the Seiberg-Witten Solution of N=2
• Confronting Seiberg's Duality with r Duality in N=1 Supersymmetric QCD
• Hybrid r-Vacua in N=2 Supersymmetric QCD: Universal Condensate Formula
• N=1 Duality in the Chiral Limit from N=2 Duality
• Quantum Deformation of the Effective Theory on Non-Abelian string and 2D-4D correspondence
• Dynamics of non-Abelian strings in the theory interpolating from $\mathcal{N}=2$ to $\mathcal{N}=1$ supersymmetric QCD
• Twisted-Mass Potential on the Non-Abelian String World Sheet Induced by Bulk Masses
• Dynamics of non-Abelian strings in supersymmetric gauge theories