Heterotic flux tubes in N=2 supersymmetric QCD with N=1 preserving deformations
Abstract
We consider nonAbelian Bogomol’nyiPrasadSommerfieldsaturated flux tubes (strings) in N=2 supersymmetric QCD deformed by superpotential terms of a special type breaking N=2 supersymmetry down to N=1. Previously it was believed that world sheet supersymmetry is accidentally enhanced due to the facts that N=(1,1) supersymmetry is automatically elevated up to N=(2,2) on CP(N1) and, at the same time, there are no N=(0,2) generalizations of the bosonic CP(N1) model. Edalati and Tong noted that the target space is in fact CP(N1)×C rather than CP(N1). This allowed them to suggest a heterotic N=(0,2) sigma model, with the CP(N1) target space for bosonic fields and an extra righthanded fermion which couples to the fermion fields of the N=(2,2) CP(N1) model. We derive the heterotic N=(0,2) world sheet model directly from the bulk theory. The relation between the bulk and world sheet deformation parameters we obtain does not coincide with that suggested by Edalati and Tong at large values of the deformation parameter. For polynomial deformation superpotentials in the bulk we find nonpolynomial response in the world sheet model. We find a geometric representation for the heterotic model. Supersymmetry is proven to be spontaneously broken for small deformations (at the quantum level). This confirms Tong’s conjecture. A proof valid for large deformations will be presented in the subsequent publication.
 Publication:

Physical Review D
 Pub Date:
 June 2008
 DOI:
 10.1103/PhysRevD.77.125016
 arXiv:
 arXiv:0803.0158
 Bibcode:
 2008PhRvD..77l5016S
 Keywords:

 11.27.+d;
 11.30.Pb;
 Extended classical solutions;
 cosmic strings domain walls texture;
 Supersymmetry;
 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 55 pages, no figures