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• W2077804329 abstract "We investigate higher-loop integrability for aq-deformation of the su(2)-sector of N = 4 SYM theory. First we construct a generalization of the longrange spin chain, which for the lowest orders describes the non-deformed dilatation operator. This generalized model is built up from Temperley– Lieb algebra generators and describes the deformed theory to at least two loops. When constructing the model we have demanded the existence of one commuting charge, which puts strong constraints on the parameters to threeloop orders. We also write the five first charges for this model at two-loops order. Our main goal is to obtain an explicit expression for an infinite number of commuting charges, all commuting with the dilatation operator. This would imply integrability. As a step towards this goal we present in this paper an expression for a generic local charge of the one-loop dilatation operator, which happens to be a generator of the Temperley–Lieb algebra." @default.
• W2077804329 created "2016-06-24" @default.
• W2077804329 creator A5079291430 @default.
• W2077804329 date "2008-04-29" @default.
• W2077804329 modified "2023-09-25" @default.
• W2077804329 title "Is there a tower of charges to be discovered?" @default.
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• W2077804329 doi "https://doi.org/10.1088/1751-8113/41/19/194014" @default.
• W2077804329 hasPublicationYear "2008" @default.
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