On the moduli space of semilocal strings and lumps

Details On the moduli space of semilocal strings and lumps On the moduli space of semilocal strings and lumps

2007-04-17

arxiv.org/abs/0704.2218v2

Phys.Rev.D76:105002,2007

Physics

High Energy Physics

High Energy Physics - Theory

1+48 pages, 5 fig. v2 several changes to secton 6.3, sections 6.4 and 6.5 added

Scientific paper

10.1103/PhysRevD.76.105002

We study BPS non-abelian semilocal vortices in U(Nc) gauge theory with Nf flavors, Nf > Nc, in the Higgs phase. The moduli space for arbitrary winding number is described using the moduli matrix formalism. We find a relation between the moduli spaces of the semilocal vortices in a Seiberg-like dual pairs of theories, U(Nc) and U(Nf-Nc). 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 worldsheet, which we compare to that found by Shifman and Yung.

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