Matching 3d N =2 vortices and monopole operators

Intriligator, Kenneth

doi:10.1007/JHEP10(2014)052

Matching 3d N =2 vortices and monopole operators

Journal Article · Wed Oct 01 00:00:00 EDT 2014 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP10(2014)052· OSTI ID:1454848

Intriligator, Kenneth ^[1]

Univ. of California, La Jolla, CA (United States); Department of Physics, University of California, San Diego, La Jolla, CA 92093

In earlier work with N. Seiberg, we explored connections between monopole operators, the Coulomb branch modulus, and vortices for 3d, N =2 supersymmetric, U(1)_k Chern-Simons matter theories. We here extend the monopole / vortex matching analysis, to theories with general matter electric charges. We verify, for general matter content, that the spin and other quantum numbers of the chiral monopole operators match those of corresponding BPS vortex states, at the top and bottom of the tower associated with quantizing the vortices’ Fermion zero modes. There are associated subtleties from non-normalizable Fermi zero modes, which contribute non-trivially to the BPS vortex spectrum and monopole operator matching; a proposed interpretation is further discussed here.

View Accepted Manuscript (DOE)

Research Organization:: Univ. of California, San Diego, CA (United States)

Sponsoring Organization:: USDOE

Grant/Contract Number:: SC0009919

OSTI ID:: 1454848

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 10 Vol. 2014; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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