Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series LPTENS-HE
Subjects hep-th
Date Friday 22 November 2019
Time 14:00
Institute LPTENS
Seminar Room Bibliotheque Joel Scherk
Speaker's Last Name Manenti
Speaker's First Name Andrea
Speaker's Email Address
Speaker's Institution EPFL
Title Thermal CFTs in momentum space
Abstract I show some aspects of conformal field theories at finite temperature in momentum space. First I provide a formula for the Fourier transform of a thermal conformal block and study its analytic properties. In particular I show that the Fourier transform vanishes when the conformal dimension and spin are those of a "double twist" operator $\Delta = 2\Delta_\phi + \ell + 2n$. I present a simple example to illustrate this property. Then, by analytically continuing to Lorentzian signature, I show that the spectral density at high spatial momenta has support on the spectrum condition $|\omega| > |k|$. This leads to a series of sum rules.
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