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W_3 irregular states and isolated N = 2 superconformal field theories

Kanno, Hiroaki and Maruyoshi, Kazunobu and Shiba, Shotaro and Taki, Masato (2013) W_3 irregular states and isolated N = 2 superconformal field theories. Journal of High Energy Physics, 2013 (3). Art. No. 147. ISSN 1126-6708. doi:10.1007/JHEP03(2013)147.

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We explore the proposal that the six-dimensional (2,0) theory on the Riemann surface with irregular punctures leads to a four-dimensional gauge theory coupled to the isolated N=2 superconformal theories of Argyres-Douglas type, and to two-dimensional conformal field theory with irregular states. Following the approach of Gaiotto-Teschner for the Virasoro case, we construct W_3 irregular states by colliding a single SU(3) puncture with several regular punctures of simple type. If n simple punctures are colliding with the SU(3) puncture, the resulting irregular state is a simultaneous eigenvector of the positive modes L_n , . . . , L_(2n) and W_(2n) , . . . , W_(3n) of the W_3 algebra. We find the corresponding isolated SCFT with an SU(3) flavor symmetry as a nontrivial IR fixed point on the Coulomb branch of the SU(3) linear quiver gauge theories, by confirming that its Seiberg-Witten curve correctly predicts the conditions for the W_3 irregular states. We also compare these SCFT’s with the ones obtained from the BPS quiver method.

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Additional Information:© 2013 SISSA. Received: February 4, 2013. Accepted: March 4, 2013. Published: March 27, 2013. The authors would like to thank P. C. Argyres, H. Awata, S. Giacomelli, Y. Nakayama, Y. Tachikawa, D. Xie and Y. Yamada for comments and discussions. K.M. would like to thank the hospitality of KEK theory group. S.S. would like to thank the hospitality of the theoretical particle physics group at SISSA. The work of H.K. is supported in part by Grant-in-Aid for Scientific Research (Nos. 22224001 and 24540265) and JSPS Bilateral Joint Projects (JSPS-RFBR collaboration) from MEXT, Japan. K.M. is supported by JSPS postdoctoral fellowships for research abroad. S.S. is partially supported by Grant-in-Aid for JSPS fellows (No. 23-7749).
Group:Caltech Theory
Funding AgencyGrant Number
Grant-in-Aid for Scientific Research22224001
Grant-in-Aid for Scientific Research24540265
JSPS Bilateral Joint ProjectsUNSPECIFIED
JSPS Postdoctoral Fellowships for Research AbroadUNSPECIFIED
Grant-in-Aid for JSPS fellows23-7749
Subject Keywords:Supersymmetric gauge theory Conformal and W Symmetry String Duality
Issue or Number:3
Record Number:CaltechAUTHORS:20130611-090024378
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Official Citation:W3 irregular states and isolated N=2 superconformal field theories Hiroaki Kanno, Kazunobu Maruyoshi, Shotaro Shiba… Article: 147
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:38886
Deposited By: Ruth Sustaita
Deposited On:11 Jun 2013 16:29
Last Modified:09 Nov 2021 23:40

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