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Rim, C; Zhang, H; Zhang, H (reprint author), Sogang Univ, Dept Phys, Seoul 121742, South Korea.; Zhang, H (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
Nekrasov and Argyres-Douglas theories in spherical Hecke algebra representation
Source PublicationNUCLEAR PHYSICS B
Language英语
AbstractAGT conjecture connects Nekrasov instanton partition function of 4D quiver gauge theory with 2D Lionville conformal blocks. We re-investigate this connection using the central extension of spherical Hecke algebra in q-coordinate representation, q being the instanton expansion parameter. Based on AFLT basis together with intertwiners we construct gauge conformal state and demonstrate its equivalence to the Liouville conformal state, with careful attention to the proper scaling behavior of the state. Using the colliding limit of regular states, we obtain the formal expression of irregular conformal states corresponding to Argyres Douglas theory, which involves summation of functions over Young diagrams. (C) 2017 The Author(s). Published by Elsevier B.V.
2017
Volume919Pages:182-208
Subject AreaPhysics
DOIhttp://dx.doi.org/10.1016/j.nuclphysb.2017.03.012
Funding OrganizationNational Research Foundation of Korea (NRF) - Korea government (MSIP) [NRF-2014R1A2A2A01004951] ; National Research Foundation of Korea (NRF) - Korea government (MSIP) [NRF-2014R1A2A2A01004951] ; National Research Foundation of Korea (NRF) - Korea government (MSIP) [NRF-2014R1A2A2A01004951] ; National Research Foundation of Korea (NRF) - Korea government (MSIP) [NRF-2014R1A2A2A01004951]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/22049
CollectionSCI期刊论文
Corresponding AuthorZhang, H (reprint author), Sogang Univ, Dept Phys, Seoul 121742, South Korea.; Zhang, H (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Rim, C,Zhang, H,Zhang, H ,et al. Nekrasov and Argyres-Douglas theories in spherical Hecke algebra representation[J]. NUCLEAR PHYSICS B,2017,919:182-208.
APA Rim, C,Zhang, H,Zhang, H ,&Zhang, H .(2017).Nekrasov and Argyres-Douglas theories in spherical Hecke algebra representation.NUCLEAR PHYSICS B,919,182-208.
MLA Rim, C,et al."Nekrasov and Argyres-Douglas theories in spherical Hecke algebra representation".NUCLEAR PHYSICS B 919(2017):182-208.
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