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High Energy Physics - Theory

arXiv:1007.0601 (hep-th)
[Submitted on 5 Jul 2010 (v1) , last revised 29 Mar 2012 (this version, v2)]

Title: Analysis of correlation functions in Toda theory and AGT-W relation for SU(3) quiver

Title: Toda理论中相关函数的分析以及SU(3) quiver的AGT-W关系

Authors:Shoichi Kanno, Yutaka Matsuo, Shotaro Shiba
Abstract: We give some evidences of the AGT-W relation between SU(3) quiver gauge theories and A_2 Toda theory. In particular, we derive the explicit form of 5-point correlation functions in the lower orders and confirm the agreement with Nekrasov's partition function for SU(3)xSU(3) quiver gauge theory. The algorithm to derive the correlation functions can be applied to general n-point function in A_2 Toda theory which will be useful to establish the relation for more generic quivers. Partial analysis is also given for SU(3)xSU(2) case and we comment on some technical issues which need clarification before establishing the relation.
Comments: 37 pages, 1 figure, ver.2: minor typos corrected
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:1007.0601 [hep-th]
  (or arXiv:1007.0601v2 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1007.0601
Journal reference: UT-10-06, KEK-TH-1360
Related DOI: https://doi.org/10.1103/PhysRevD.82.066009

Submission history

From: Shotaro Shiba [view email]
[v1] Mon, 5 Jul 2010 01:16:23 UTC (37 KB)
[v2] Thu, 29 Mar 2012 15:07:31 UTC (37 KB)
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