Parafermionic Liouville field theory and instantons on ALE spaces
In: Journal of High Energy Physics, Jg. 2012 (2012-02-01)
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Zugriff:
In this paper we study the correspondence between the $\hat{\textrm{su}}(n)_{k}\oplus \hat{\textrm{su}}(n)_{p}/\hat{\textrm{su}}(n)_{k+p}$ coset conformal field theories and $\mathcal{N}=2$ SU(n) gauge theories on $\mathbb{R}^{4}/\mathbb{Z}_{p}$. Namely we check the correspondence between the SU(2) Nekrasov partition function on $\mathbb{R}^{4}/\mathbb{Z}_{4}$ and the conformal blocks of the $S_{3}$ parafermion algebra (in $S$ and $D$ modules). We find that they are equal up to the U(1)-factor as it was in all cases of AGT-like relations. Studying the structure of the instanton partition function on $\mathbb{R}^4/\mathbb{Z}_p$ we also find some evidence that this correspondence with arbitrary $p$ takes place up to the U(1)-factor.
21 pages, 6 figures, misprints corrected, references added, version to appear in JHEP
Titel: |
Parafermionic Liouville field theory and instantons on ALE spaces
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Autor/in / Beteiligte Person: | Tarnopolsky, Grigory ; Alfimov, Mikhail ; P. N. Lebedev Physical Institute of the Russian Academy of Sciences [Moscow] (LPI RAS) ; Russian Academy of Sciences [Moscow] (RAS) ; Moscow Institute of Physics and Technology [Moscow] (MIPT) |
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Zeitschrift: | Journal of High Energy Physics, Jg. 2012 (2012-02-01) |
Veröffentlichung: | Springer Science and Business Media LLC, 2012 |
Medientyp: | unknown |
ISSN: | 1029-8479 (print) ; 1126-6708 (print) |
DOI: | 10.1007/jhep02(2012)036 |
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