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Résumé |
A 2D CFT will have a partition function that is invariant under modular transformations. 2D CFTs possess various
infinite hierarchies of conserved quantities, so it is natural to ask about the modular properties of the extended
partition functions. In an asymptotic regime it is answered algorithmically; In specific free theories it is answered
exactly; And more generally, one can apply integrability techniques, like the Thermodynamic Bethe Ansatz. We
will discuss these various cases and the extent to which the question has been answered. |