A new 5d description of 6d D-type minimal conformal matter View Full Text


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Article Info

DATE

2015-08-19

AUTHORS

Hirotaka Hayashi, Sung-Soo Kim, Kimyeong Lee, Masato Taki, Futoshi Yagi

ABSTRACT

We propose a new 5d description of the circle-compactified 6d (DN + 4, DN + 4) minimal conformal matter theory which can be approached by the 6d N=10\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=\left(1,0\right) $$\end{document} Sp(N) gauge theory with Nf = 2N + 8 flavors and one tensor multiplet. Compactifying the brane set-up for the 6d theory, we arrive at a 5-brane Tao diagram for 5d 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} SU(N + 2) theory of the vanishing Chern-Simons level with 2N + 8 flavors. We conjecture that the 6d theory is recovered as the UV fixed point of this 5d theory. We show that the global symmetry of this 5d theory is SO(4N + 16) identical to that of the 6d theory by analyzing the 7-brane monodromy. By using the Tao diagram, we also find the instanton fugacity is exactly given by the circle radius. By decoupling flavors in this 5d theory, one can obtain all the 5d SU(N + 2) gauge theories of various Chern-Simons levels and corresponding enhanced global symmetries at the 5d UV fixed point. More... »

PAGES

97

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    http://scigraph.springernature.com/pub.10.1007/jhep08(2015)097

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    33 schema:description We propose a new 5d description of the circle-compactified 6d (DN + 4, DN + 4) minimal conformal matter theory which can be approached by the 6d N=10\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N}=\left(1,0\right) $$\end{document} Sp(N) gauge theory with Nf = 2N + 8 flavors and one tensor multiplet. Compactifying the brane set-up for the 6d theory, we arrive at a 5-brane Tao diagram for 5d 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} SU(N + 2) theory of the vanishing Chern-Simons level with 2N + 8 flavors. We conjecture that the 6d theory is recovered as the UV fixed point of this 5d theory. We show that the global symmetry of this 5d theory is SO(4N + 16) identical to that of the 6d theory by analyzing the 7-brane monodromy. By using the Tao diagram, we also find the instanton fugacity is exactly given by the circle radius. By decoupling flavors in this 5d theory, one can obtain all the 5d SU(N + 2) gauge theories of various Chern-Simons levels and corresponding enhanced global symmetries at the 5d UV fixed point.
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    42 Tao diagram
    43 UV
    44 branes
    45 circle radius
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    47 conformal matter
    48 conformal matter theory
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    52 fugacity
    53 gauge theory
    54 global symmetry
    55 instanton fugacity
    56 levels
    57 matter
    58 matter theory
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    60 minimal conformal matter theory
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    69 schema:name A new 5d description of 6d D-type minimal conformal matter
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