A topological invariant of RG flows in 2D integrable quantum field theories

Physics – High Energy Physics – High Energy Physics - Theory

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12 pages, 6 figures. Presented at the Euroconference on New Symmetries in Statistical Mech. and Cond. Mat. Physics, Torino, Ju

Scientific paper

We construct a topological invariant of the renormalization group
trajectories of a large class of 2D quantum integrable models, described by the
thermodynamic Bethe ansatz approach. A geometrical description of this
invariant in terms of triangulations of three-dimensional manifolds is proposed
and associated dilogarithm identities are proven.

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