Chiral theories of class S View Full Text


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Article Info

DATE

2015-12-14

AUTHORS

Amihay Hanany, Kazunobu Maruyoshi

ABSTRACT

We study a class of four-dimensional N=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=1 $$\end{document} superconformal field theories obtained from the six-dimensional (1, 0) theory, on M5-branes on ℂ2/ℤk\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\mathrm{\mathbb{C}}}^2/{\mathrm{\mathbb{Z}}}_k $$\end{document} orbifold singularity, compactified on a Riemann surface. This produces various quiver gauge theories whose matter contents are chiral. We classify the building blocks associated to pairs-of-pants, and study the gauging of them as the gluing of punctures. The Riemann surface picture makes the duality invariance of the resulting quiver theories manifest: the theories associated to the same Riemann surface flow to the same nontrivial infrared fixed point. We explicitly check this from the ’t Hooft anomalies of the global symmetries and central charges. More... »

PAGES

1-32

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    39 schema:description We study a class of four-dimensional N=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=1 $$\end{document} superconformal field theories obtained from the six-dimensional (1, 0) theory, on M5-branes on ℂ2/ℤk\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {\mathrm{\mathbb{C}}}^2/{\mathrm{\mathbb{Z}}}_k $$\end{document} orbifold singularity, compactified on a Riemann surface. This produces various quiver gauge theories whose matter contents are chiral. We classify the building blocks associated to pairs-of-pants, and study the gauging of them as the gluing of punctures. The Riemann surface picture makes the duality invariance of the resulting quiver theories manifest: the theories associated to the same Riemann surface flow to the same nontrivial infrared fixed point. We explicitly check this from the ’t Hooft anomalies of the global symmetries and central charges.
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    46 Riemann surface
    47 anomalies
    48 block
    49 building blocks
    50 central charge
    51 charge
    52 chiral theory
    53 class
    54 class S
    55 content
    56 duality invariance
    57 field theory
    58 flow
    59 gauge theory
    60 gauging
    61 global symmetry
    62 gluing
    63 invariance
    64 manifest
    65 matter content
    66 orbifold singularities
    67 pairs
    68 pants
    69 picture
    70 point
    71 puncture
    72 quiver gauge theories
    73 singularity
    74 six-dimensional theory
    75 superconformal field theories
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