ダウンロード数: 386
このアイテムのファイル:
ファイル | 記述 | サイズ | フォーマット | |
---|---|---|---|---|
j.nuclphysb.2010.08.008.pdf | 227.66 kB | Adobe PDF | 見る/開く |
タイトル: | Deformed prepotential, quantum integrable system and Liouville field theory |
著者: | Maruyoshi, Kazunobu Taki, Masato |
著者名の別形: | 丸吉, 一暢 |
発行日: | 21-Dec-2010 |
出版者: | Elsevier B.V. |
誌名: | Nuclear Physics B |
巻: | 841 |
号: | 3 |
開始ページ: | 388 |
終了ページ: | 425 |
抄録: | We study the dual descriptions recently discovered for the Seiberg–Witten theory in the presence of surface operators. The Nekrasov partition function for a four-dimensional N=2 gauge theory with a surface operator is believed equal to the wave-function of the corresponding integrable system, or the Hitchin system, and is identified with the conformal block with a degenerate field via the AGT relation. We verify the conjecture by showing that the null state condition leads to the Schrödinger equations of the integrable systems. Furthermore, we show that the deformed prepotential emerging from the period integrals of the principal function corresponds to monodromy operation of the conformal block. We also give the instanton partition functions for the asymptotically free SU(2) gauge theories in the presence of the surface operator via the AGT relation. We find that these partition functions involve the counting of two- and four-dimensional instantons. |
著作権等: | © 2010 Elsevier B.V. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 This is not the published version. Please cite only the published version. |
URI: | http://hdl.handle.net/2433/131747 |
DOI(出版社版): | 10.1016/j.nuclphysb.2010.08.008 |
出現コレクション: | 学術雑誌掲載論文等 |
このリポジトリに保管されているアイテムはすべて著作権により保護されています。