On the moduli space of semilocal strings and lumps

2007/04/30 by Minoru Eto, Jarah Evslin, Kenichi Konishi +5 · 6 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies #hep-th

paper · pdf · doi:10.1103/physrevd.76.105002

published as Phys.Rev.D76:105002,2007 · 1+48 pages, 5 fig. v2 several changes to secton 6.3, sections 6.4 and 6.5 added

arxiv created 2007/06/28 · openalex publication_date 2007/11/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian semilocal vortices in U(N_C) gauge theory with N_F flavors, N_F>N_C, in the Higgs phase. The moduli space for an arbitrary winding number is described using the moduli matrix formalism. We find a relation between the moduli spaces of the semilocal vortices in Seiberg-like dual pairs of theories, U(N_C) and U(N_F\ensuremath-N_C). They are two alternative regularizations of a parent non-Hausdorff space, which tend to the same moduli space of sigma model lumps in the infinite gauge coupling limits. We examine the normalizability of the zero-modes and find the somewhat surprising phenomenon that the number of normalizable zero-modes, dynamical fields in the effective action, depends on the point of the moduli space we are considering. We find, in the lump limit, an effective action on the vortex world sheet, which we compare to that found by Shifman and Yung.

Citations

• Instantons in the Higgs phase
• Construction of Non-Abelian Walls and their Complete Moduli Space
• Non-Abelian walls in supersymmetric gauge theories
• TASI Lectures on Solitons
• All exact solutions of a1/4Bogomol’nyi-Prasad-Sommerfield equation

Cited by

• On the stability of non-Abelian semi-local vortices
• Studying critical string emerging from non-Abelian vortex in four dimensions
• Non-Abelian Vortices on Compact Riemann Surfaces
• Strong versus weak coupling confinement in N=2 supersymmetric QCD
• NON-ABELIAN VORTEX-STRING DYNAMICS FROM NONLINEAR REALIZATION
• Non-Abelian vortices with product moduli

Related

• Moduli Spaces of Instantons in Flag Manifold Sigma Models -- Vortices in Quiver Gauge Theories
• Localization Method for Volume of Domain-Wall Moduli Spaces
• All exact solutions of a1/4Bogomol’nyi-Prasad-Sommerfield equation
• Effective World-Sheet Theory for Non-Abelian Semilocal Strings in N = 2 Supersymmetric QCD
• Compactification of the moduli spaces of vortices and coupled vortices