Decomposing instantons in two dimensions

Muneto Nitta, Walter Vinci

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We study the Bogomol'nyi-Prasad-Sommerfeld (BPS) vortices in the (1+1)- dimensional N = (2, 2) supersymmetric U(1) gauged double strok C Sign P 1 nonlinear sigma model.We use the moduli matrix approach to analytically construct the moduli space of solutions and solve numerically the BPS equations. We identify two topologically inequivalent types of magnetic vortices, which we call S and N vortices. Moreover, we discuss their relation to instantons (lumps) present in the ungauged case. In particular, we describe how a lump is split into a couple of component S-N vortices after gauging. We extend this analysis to the case of the extended Abelian Higgs model with two flavors, which is known to admit semi-local vortices. After gauging the relative phase between fields, semi-local vortices are also split into component vortices. We discuss interesting applications of this simple set-up. Firstly, the gauging of nonlinear sigma models reveals a semiclassical 'partonic' nature of instantons in 1+1 dimensions. Secondly, weak gauging provides for a new interesting regularization of the metric of semi-local vortices.

Original languageEnglish
Article number175401
JournalJournal of Physics A: Mathematical and Theoretical
Volume45
Issue number17
DOIs
Publication statusPublished - 2012 May 4

Fingerprint

Instantons
instantons
Vortex
Two Dimensions
Vortex flow
vortices
Gaging
Nonlinear sigma Model
Flavors
Higgs
Moduli Space
Regularization
Modulus
Metric
matrices

ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Statistical and Nonlinear Physics
  • Modelling and Simulation
  • Statistics and Probability

Cite this

Decomposing instantons in two dimensions. / Nitta, Muneto; Vinci, Walter.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 45, No. 17, 175401, 04.05.2012.

Research output: Contribution to journalArticle

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