Affine SL(2) Conformal Blocks from 4d Gauge Theories View Full Text


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Article Info

DATE

2010-10

AUTHORS

Luis F. Alday, Yuji Tachikawa

ABSTRACT

We study Nekrasov’s instanton partition function of four-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} gauge theories in the presence of surface operators. This can be computed order by order in the instanton expansion by using results available in the mathematical literature. Focusing in the case of SU(2) quiver gauge theories, we find that the results agree with a modified version of the conformal blocks of affine SL(2) algebra. These conformal blocks provide, in the critical limit, the eigenfunctions of the corresponding quantized Hitchin Hamiltonians. More... »

PAGES

87-114

References to SciGraph publications

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  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11005-010-0422-4

    DOI

    http://dx.doi.org/10.1007/s11005-010-0422-4

    DIMENSIONS

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