2013年1月
N=2 gauge theories on toric singularities, blow-up formulae and W-algebrae
JOURNAL OF HIGH ENERGY PHYSICS
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- 巻
- 号
- 1
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1007/JHEP01(2013)014
- 出版者・発行元
- SPRINGER
We compute the Nekrasov partition function of gauge theories on the (resolved) toric singularities C-2/F in terms of blow-up formulae. We discuss the expansion of the partition function in the epsilon(1), epsilon(2) -> 0 limit along with its modular properties and how to derive them from the M-theory perspective. On the two-dimensional conformal field theory side, our results can be interpreted in terms of representations of the direct sum of Heisenberg plus W-N-algebrae with suitable central charges, which can be computed from the fan of the resolved toric variety. We provide a check of this correspondence by computing the central charge of the two-dimensional theory from the anomaly polynomial of M5-brane theory. Upon using the AGT correspondence our results provide a candidate for the conformal blocks and three-point functions of a class of the two-dimensional CFTs which includes parafermionic theories.
- リンク情報
- ID情報
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- DOI : 10.1007/JHEP01(2013)014
- ISSN : 1029-8479
- arXiv ID : arXiv:1208.0790
- Web of Science ID : WOS:000315583200014