Vortices, Qballs and Domain Walls on Dielectric M2branes
Abstract
We study BPS solitons in Script N = 6 U(N) × U(N) ChernSimonsmatter theory deformed by an Fterm mass. The Fterm mass generically breaks Script N = 6 supersymmetry down to Script N = 2. At vacua, M2branes are polarized into a fuzzy S^{3} forming a spherical M5brane with topology R^{1,2} × S^{3}. The polarization is interpreted as Myers' dielectric effect caused by an antiselfdual 4form flux T_{4} in the elevendimensional supergravity. Assuming a polarized M2brane configuration, the model effectively reduces to the wellknown abelian ChernSimonsHiggs model studied in detail by JackiwLeeWeinberg. We find that the potential for the fuzzy S^{3} radius agrees with the one calculated from the M5brane point of view at large N. This effective model admits not only BPS topological vortex and domain wall solutions but also nontopological solitons that keep 1/4 of the manifest Script N = 2 supersymmetry. We also comment on the reduction of our configuration to ten dimensions.
 Publication:

Journal of High Energy Physics
 Pub Date:
 March 2009
 DOI:
 10.1088/11266708/2009/03/119
 arXiv:
 arXiv:0812.4437
 Bibcode:
 2009JHEP...03..119A
 Keywords:

 High Energy Physics  Theory
 EPrint:
 references added, minor modifications