Lecture notes prepared for the 2021 SAGEX PhD School in Amplitudes hosted by the
University of Copenhagen August 10th through 13th. Topics covered include: the …

Conformal field theories have been long known to describe the fascinating universal physics
of scale invariant critical points. They describe continuous phase transitions in fluids …

A bstract A key insight of the bootstrap approach to cosmological correlations is the fact that
all correlators of slow-roll inflation can be reduced to a unique building block—the four-point …

A bstract Caron-Huot has recently given an interesting formula that determines OPE data in
a conformal field theory in terms of a weighted integral of the four-point function over a …

A bstract We discuss consequences of the breaking of conformal symmetry by a flat or
spherical extended operator. We adapt the embedding formalism to the study of correlation …

EPFL lectures on conformal field theory in D≥ 3 dimensions 123 SPRINGER BRIEFS IN
PHYSICS Slava Rychkov EPFL Lectures on Conformal Field Theory in D≥ 3 Dimensions Page …

A bstract Equilibrium finite temperature observables of a CFT can be described by a local
effective action for background fields—a “thermal effective action”. This effective action …

We study circuit complexity for conformal field theory states in an arbitrary number of
dimensions. Our circuits start from a primary state and move along a unitary representation …

A bstract We introduce a large class of conformally-covariant differential operators and a
crossing equation that they obey. Together, these tools dramatically simplify calculations …

A bstract We examine the structure of global conformal multiplets in 2D celestial CFT. For a
4D bulk theory containing massless particles of spin s=\(\left\{0,\frac {1}{2}, 1,\frac {3}{2} …