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On the integrability of planar N=2 superconformal gauge theories

Gadde, Abhijit and Liendo, Pedro and Rastelli, Leonardo and Yan, Wenbin (2013) On the integrability of planar N=2 superconformal gauge theories. Journal of High Energy Physics, 2013 (8). Art. No. 15. ISSN 1126-6708. doi:10.1007/JHEP08(2013)015.

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We study the integrability properties of planar N=2 superconformal field theories in four dimensions. We show that the spin chain associated to the planar dilation operator of N=2 superconformal QCD fails to be integrable at two loops. In our analysis we focus on a closed SU(2|1) sector, whose two-loop spin chain we fix by symmetry arguments (up to a few undetermined coefficients). It turns out that the Yang-Baxter equation for magnon scattering is not satisfied in this sector. On the other hand, we suggest that the closed SU(2,1|2) sector, which exists in any N=2 superconformal gauge theory, may be integrable to all loops. We summarize the known results in the literature that are consistent with this conjecture.

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Additional Information:© 2013 SISSA. Published for SISSA by Springer. Received: April 25, 2013; Accepted: July 9, 2013; Published: August 5, 2013. It is a pleasure to thank N. Gromov, V. Kazakov, J. Minahan, E. Pomoni, C. Sieg, M. Staudacher, P. Vieira and K. Zarembo for useful discussions and comments. This work is partially supported by the NSF under Grants PHY-0969919 and PHY-0969739. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the authors and do not necessarily reflect the views of the National Science Foundation.
Group:Caltech Theory
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Issue or Number:8
Record Number:CaltechAUTHORS:20131018-092021736
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Official Citation:Gadde, A., Liendo, P., Rastelli, L. et al. J. High Energ. Phys. (2013) 2013: 15. doi:10.1007/JHEP08(2013)015
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:41984
Deposited By: Tony Diaz
Deposited On:18 Oct 2013 16:54
Last Modified:10 Nov 2021 04:36

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