Thermodynamic Bethe Ansatz for Biscalar Conformal Field Theories in Any Dimension

Benjamin Basso, Gwenaël Ferrando, Vladimir Kazakov, De Liang Zhong

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We present the TBA equations for the exact spectrum of multi-magnon local operators in the D-dimensional bi-scalar fishnet CFT. The mixing matrix of such operators is given in terms of fishnet planar graphs of multiwheel and multispiral type. These graphs probe the two key building blocks of the TBA approach, the magnon dispersion relation and scattering matrix, which we obtain by diagonalizing suitable graph-building operators. We also obtain the dual version of the TBA equations, which relates, in the continuum limit, D-dimensional graphs to two-dimensional sigma models in AdSD+1.

Original languageEnglish
Article number091601
JournalPhysical Review Letters
Issue number9
StatePublished - 28 Aug 2020


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