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arXiv · 1211.0271

On the Integrability of Planar N=2 Superconformal Gauge Theories

Abhijit Gadde·Pedro Liendo·Leonardo Rastelli·Wenbin Yan
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Abstract

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.

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Abhijit Gadde, Pedro Liendo, Leonardo Rastelli, Wenbin Yan. 2013-07-08. On the Integrability of Planar N=2 Superconformal Gauge Theories. https://doi.org/10.1007/jhep08(2013)015

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