This review describes the duality between color and kinematics and its applications, with the
aim of gaining a deeper understanding of the perturbative structure of gauge and gravity …

Here, we review the most recent progress in our understanding of quantum mechanical
observables in cosmology in the perturbative regime. It relies on an approach that considers …

This white paper summarizes recent progress in the cosmological bootstrap, an approach to
the study of the statistics of primordial fluctuations from consistency with unitarity, locality and …

Recent attempts at the construction of holography for asymptotically flat spacetime have
taken two different routes. Celestial holography, involving a two dimensional (2D) conformal …

A bstract Scattering amplitudes at weak coupling are highly constrained by Lorentz
invariance, locality and unitarity, and depend on model details only through coupling …

A bstract We describe in more detail the general relation uncovered in our previous work
between boundary correlators in de Sitter (dS) and in Euclidean anti-de Sitter (EAdS) space …

The unitarity of time evolution, or colloquially the conservation of probability, sits at the heart
of our descriptions of fundamental interactions via quantum field theory. The implications of …

A bstract Celestial amplitudes represent 4D scattering of particles in boost, rather than the
usual energy-momentum, eigenstates and hence are sensitive to both UV and IR physics …

The double copy is, in essence, a map between scattering amplitudes in a broad variety of
familiar field and string theories. In addition to the mathematically rich intrinsic structure, it …

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 …