High Energy Physics - Theory
[Submitted on 25 Jul 2017
]
Title: Classical conformal blocks and isomonodromic deformations
Title: 经典共形块和等单变 deformation
Abstract: The leading classical asymptotics of Virasoro conformal blocks on the Riemann sphere with n generic and n-3 "heavy" degenerate field insertions can be described in terms of the geometry of Garnier system describing the monodromy preserving deformations of second order Fuchsian differential equations on an n-punctured sphere. This allows us to characterise the leading classical asymptotics of Virasoro conformal blocks completely, and to clarify in which sense conformal field theory represents a quantisation of the isomonodromic deformation problem.
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