Aspects of ABJM orbifolds
Abstract
We study abelian and nonabelian orbifolds of the ABJM model. We compute the precise moduli space of these models by analyzing the classical BPS equations for the theory on the cylinder, which include classical solutions of magnetic monopole operators. These determine the chiral ring of the theory, and thus they provide the complete set of order parameters determining the classical vacua of the theory. We show that the proper quantization of these semiclassical solutions gives us the topology of moduli space, including the additional quotient information due to the ChernSimons levels. In general, we find that in the dual Mtheory setup, the Mtheory fiber is divided by the product of the ChernSimons level times the order of the orbifold group, even in the nonabelian case. This depends nontrivially on how the different ChernSimons terms have different levels in these constructions. We also see a direct relation in this setup between the ChernSimons levels of the different groups and fluxes for fractional brane cycles. We also show that the problem of the moduli space can be much more easily analyzed by using the method of images and representation theory of crossed product algebras rather than dealing only with the quiver theory data.
 Publication:

arXiv eprints
 Pub Date:
 September 2009
 DOI:
 10.48550/arXiv.0909.2856
 arXiv:
 arXiv:0909.2856
 Bibcode:
 2009arXiv0909.2856B
 Keywords:

 High Energy Physics  Theory
 EPrint:
 52 pages, 6 figures. v2: reference added