Spin chain integrability in non-supersymmetric Wilson loops

We study the 1-loop dilatation operator for insertions of composite operators in a generalized Wilson loop in 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 th...

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Autores principales: Correa, Diego Hernán, Leoni Olivera, Matías, Luque, Solange Elizabeth
Formato: Articulo
Lenguaje:Inglés
Publicado: 2018
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Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/96198
https://ri.conicet.gov.ar/11336/83114
https://link.springer.com/article/10.1007%2FJHEP12%282018%29050
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Sumario:We study the 1-loop dilatation operator for insertions of composite operators in a generalized Wilson loop in 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.