Forbidden singularities in heavy-light Virasoro blocks are shown to be the critical point of an instanton-gas phase transition via AGT, with critical fugacity equal to the known singularity location.
The vanishing of y2 X can then be propagated to large indexXby requiring ∆2,2 X =y 2 X −y 2 X+1 = 0, which satisfies (75) for finiteλ
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Phase transition from eigenstate thermalization: forbidden singularity and instanton proliferation via AGT correspondence
Forbidden singularities in heavy-light Virasoro blocks are shown to be the critical point of an instanton-gas phase transition via AGT, with critical fugacity equal to the known singularity location.