On the moduli space of semilocal strings and lumps

Minoru Eto, Jarah Evslin, Kenichi Konishi, Giacomo Marmorini, Muneto Nitta, Keisuke Ohashi, Walter Vinci, Naoto Yokoi

Research output: Contribution to journalArticle

81 Citations (Scopus)

Abstract

We study Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian semilocal vortices in U(NC) gauge theory with NF flavors, NF>NC, 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(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 world sheet, which we compare to that found by Shifman and Yung.

Original languageEnglish
Article number105002
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume76
Issue number10
DOIs
Publication statusPublished - 2007 Nov 2

Fingerprint

Moduli Space
strings
Strings
Vortex
Effective Action
vortices
Winding number
Sigma Models
Zero
Higgs
Gauge Theory
Regularization
Modulus
Gauge
Tend
gauge theory
Alternatives
formalism
Arbitrary
matrices

ASJC Scopus subject areas

  • Physics and Astronomy(all)
  • Nuclear and High Energy Physics
  • Mathematical Physics

Cite this

On the moduli space of semilocal strings and lumps. / Eto, Minoru; Evslin, Jarah; Konishi, Kenichi; Marmorini, Giacomo; Nitta, Muneto; Ohashi, Keisuke; Vinci, Walter; Yokoi, Naoto.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 76, No. 10, 105002, 02.11.2007.

Research output: Contribution to journalArticle

Eto, M, Evslin, J, Konishi, K, Marmorini, G, Nitta, M, Ohashi, K, Vinci, W & Yokoi, N 2007, 'On the moduli space of semilocal strings and lumps', Physical Review D - Particles, Fields, Gravitation and Cosmology, vol. 76, no. 10, 105002. https://doi.org/10.1103/PhysRevD.76.105002
Eto, Minoru ; Evslin, Jarah ; Konishi, Kenichi ; Marmorini, Giacomo ; Nitta, Muneto ; Ohashi, Keisuke ; Vinci, Walter ; Yokoi, Naoto. / On the moduli space of semilocal strings and lumps. In: Physical Review D - Particles, Fields, Gravitation and Cosmology. 2007 ; Vol. 76, No. 10.
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AU - Vinci, Walter

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