Matching 3d N =2 vortices and monopole operators
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.
- Publication Date:
- Grant/Contract Number:
- SC0009919
- Type:
- Accepted Manuscript
- Journal Name:
- Journal of High Energy Physics (Online)
- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2014; Journal Issue: 10; Journal ID: ISSN 1029-8479
- Publisher:
- Springer Berlin
- Research Org:
- Univ. of California, San Diego, CA (United States)
- Sponsoring Org:
- USDOE
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetry and Duality, Supersymmetric gauge theory, Chern-Simons Theories, Nonperturbative Effects
- OSTI Identifier:
- 1454848
Intriligator, Kenneth. Matching 3d N =2 vortices and monopole operators. United States: N. p.,
Web. doi:10.1007/JHEP10(2014)052.
Intriligator, Kenneth. Matching 3d N =2 vortices and monopole operators. United States. doi:10.1007/JHEP10(2014)052.
Intriligator, Kenneth. 2014.
"Matching 3d N =2 vortices and monopole operators". United States.
doi:10.1007/JHEP10(2014)052. https://www.osti.gov/servlets/purl/1454848.
@article{osti_1454848,
title = {Matching 3d N =2 vortices and monopole operators},
author = {Intriligator, Kenneth},
abstractNote = {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.},
doi = {10.1007/JHEP10(2014)052},
journal = {Journal of High Energy Physics (Online)},
number = 10,
volume = 2014,
place = {United States},
year = {2014},
month = {10}
}