Comments on 3d Seiberg-like dualities View Full Text


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Article Info

DATE

2011-10-17

AUTHORS

Francesco Benini, Cyril Closset, Stefano Cremonesi

ABSTRACT

We study Seiberg-like dualities in three dimensional \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} = 2 $\end{document} supersymmetric theories, emphasizing Chern-Simons terms for the global symmetry group, which affect contact terms in two-point functions of global currents and are essential to the duality map. We introduce new Seiberg-like dualities for Yang-Mills-Chern-Simons theories with unitary gauge groups with arbitrary numbers of matter fields in the fundamental and antifundamental representations. These dualities are derived from Aharony duality by real mass deformations. They allow to initiate the systematic study of Seiberg-like dualities in Chern-Simons quivers. We also comment on known Seiberg-like dualities for symplectic and orthogonal gauge groups and extend the latter to the Yang-Mills case. We check our proposals by showing that the localized partition functions on the squashed S3 match between dual descriptions. More... »

PAGES

75

References to SciGraph publications

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    http://scigraph.springernature.com/pub.10.1007/jhep10(2011)075

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    35 schema:description We study Seiberg-like dualities in three dimensional \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$ \mathcal{N} = 2 $\end{document} supersymmetric theories, emphasizing Chern-Simons terms for the global symmetry group, which affect contact terms in two-point functions of global currents and are essential to the duality map. We introduce new Seiberg-like dualities for Yang-Mills-Chern-Simons theories with unitary gauge groups with arbitrary numbers of matter fields in the fundamental and antifundamental representations. These dualities are derived from Aharony duality by real mass deformations. They allow to initiate the systematic study of Seiberg-like dualities in Chern-Simons quivers. We also comment on known Seiberg-like dualities for symplectic and orthogonal gauge groups and extend the latter to the Yang-Mills case. We check our proposals by showing that the localized partition functions on the squashed S3 match between dual descriptions.
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    42 Chern-Simons quivers
    43 Chern-Simons term
    44 Chern-Simons theory
    45 Seiberg-like dualities
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    47 Yang-Mills case
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    53 current
    54 deformation
    55 description
    56 dual description
    57 duality
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    59 field
    60 function
    61 gauge group
    62 global currents
    63 global symmetry group
    64 group
    65 maps
    66 mass deformation
    67 match
    68 matter fields
    69 number
    70 orthogonal gauge groups
    71 partition function
    72 proposal
    73 quivers
    74 real mass deformation
    75 representation
    76 study
    77 supersymmetric theories
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