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arXiv · 1810.04643

Spin chain integrability in non-supersymmetric Wilson loops

Diego Correa·Matias Leoni·Solange Luque
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Abstract

We study the 1-loop dilatation operator for insertions of composite operators in a generalized Wilson loop in ${\cal N}=4$ super Yang-Mills, which interpolates between the supersymmetric Wilson-Maldacena loop and the ordinary Wilson loop with no scalar coupling. For $SO(6)$ scalar insertions, we show that the 1-loop dilatation operator is integrable for the endpoints of the interpolation, i.e. either for the Wilson-Maldacena or the ordinary Wilson loop. Moreover, we also show that integrability persists for $SU(2|3)$ insertions in the ordinary Wilson loop, even when the term making the spin chain length dynamical is included.

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Diego Correa, Matias Leoni, Solange Luque. 2018-10-10. Spin chain integrability in non-supersymmetric Wilson loops. https://doi.org/10.1007/jhep12(2018)050

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