Alma universitas studiorum parmensis A.D. 962 - Università di Parma

Event description

Abstract: While the short-range Ising model has been studied intensively using the con-
formal bootstrap and other methods, its long-range cousin, the long-range Ising model
(LRI), has remained more mysterious. Nevertheless, the LRI is a prime example of a non-
local CFT, and can be analyzed using a variety of techniques, including the conformal
In this talk I will show results for the critical point of the LRI in various dimensions,
where we interpret the LRI as a conformal defect in an auxiliary, free scalar bulk CFT.
I will discuss perturbative results as well as the nonperturbative conformal bootstrap. A
central role is played by relations between OPE coecients, which allow us to gain an order
in perturbation theory, and provide us with more stringent constraints when implemented
in the numerical bootstrap. These relations could also play an important role in the study
of defect CFTs, such as conformal line defects.


Philine van Vliet
Laboratoire de Physique de l'Ecole Normale Supérieure, Paris

Modalità di accesso

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Fa parte di

In collaborazione con INFN - Istituto Nazionale di Fisica Nucleare.
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