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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    47 M5-branes
    48 Riemann surface
    49 anomalies
    50 block
    51 building blocks
    52 central charge
    53 charge
    54 chiral theory
    55 class
    56 class S
    57 content
    58 duality invariance
    59 field theory
    60 flow
    61 gauge theory
    62 gauging
    63 global symmetry
    64 gluing
    65 invariance
    66 manifest
    67 matter content
    68 orbifold singularities
    69 pairs
    70 pants
    71 picture
    72 point
    73 puncture
    74 quiver gauge theories
    75 singularity
    76 six-dimensional theory
    77 superconformal field theories
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