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SUMMARY:Fanny Eustachon: Long-range minimal models
DTSTART:20251112T130000Z
DTEND:20251112T140000Z
DTSTAMP:20260427T050000Z
UID:indico-event-15423@indico.math.cnrs.fr
DESCRIPTION:I will present a class of nonlocal conformal field theories 
 (CFTs) in 2d which are obtained as deformations of the Virasoro minimal 
 models. The construction proceeds by coupling a relevant primary operator
  $\\phi_{r\,s}$ of the m-th minimal model to a generalized free field. 
 Flowing to the infrared\, we reach a new class of CFTs that we call long-
 range minimal models (LRMMs). During this talk\, I will discuss two spec
 ific types of LRMMs in the framework of conformal perturbation theory: t
 he case r=s=2 corresponding to a straightforward generalization of an i
 nfrared duality between the deformed minimal model and a nonlocal Ginzbur
 g-Landau theory proposed for the long-range Ising model ($m = 3$) in 201
 7\, as well as the case (r\,s)=(1\,2) endowed with a well-behaved large 
 m-limit obtained from both numerical extrapolations and a method we devel
 op which carries out conformal perturbation theory using Mellin amplitudes
  and Coulomb gas representations of the correlators. This is based on 
 https://arxiv.org/abs/2509.26372\n\nhttps://indico.math.cnrs.fr/event/1542
 3/
URL:https://indico.math.cnrs.fr/event/15423/
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