Vortexstrings in N=2 SQCD and bulkstring decoupling
Abstract
We study vortexstrings in fourdimensional N=2 supersymmetric SU( N _{ c }) × U(1) gauge theories with N _{ f } hypermultiplets in the fundamental representation of SU( N _{ c }) and general U(1) charges. If N _{ f } > N _{ c }, the vacuum is not gapped and the lowenergy theory contains both the vacuum massless excitations and the string zeromodes. The question we address in this work is whether the vacuum and the string moduli decouple at low energies, allowing a description of the lowenergy dynamics in terms of a twodimensional theory on the string worldsheet. We find a simple condition controlling the bulkstring coupling: if there exist two flavors such that the product of their U(1) charge difference with the magnetic flux carried by the string configuration is not an integer multiple of 2 π, the string has zeromodes that decay slower than 1 /r, where r is the radial distance from the string core. These modes are coupled to the vacuum massless excitations even at low energies. If, however, all such products are integer multiples of 2 π, longrange modes of this type do not exist and the string moduli decouple from the bulk at low energies. This condition turns out to coincide with the condition of trivial AharonovBohm phases for the particles in the spectrum. In addition to a derivation of the bulkstring decoupling criterion using classical analysis of the string zeromodes, we provide a nonperturbative derivation of the criterion, which uses supersymmetric localization techniques.
 Publication:

Journal of High Energy Physics
 Pub Date:
 February 2018
 DOI:
 10.1007/JHEP02(2018)091
 arXiv:
 arXiv:1710.02203
 Bibcode:
 2018JHEP...02..091G
 Keywords:

 Solitons Monopoles and Instantons;
 Extended Supersymmetry;
 Supersymmetric Gauge Theory;
 High Energy Physics  Theory
 EPrint:
 Added references