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 We study the fundamentals of quantum field theory on a rigid de Sitter space. We
show that the perturbative expansion of late-time correlation functions to all orders can be …

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 …

A bstract We argue that every CFT contains light-ray operators labeled by a continuous spin
J. When J is a positive integer, light-ray operators become integrals of local operators over a …

A bstract It is a long-standing conjecture that any CFT with a large central charge and a large
gap∆ gap in the spectrum of higher-spin single-trace operators must be dual to a local …

A bstract Carrollian Conformal Field Theories (CFTs) have been proposed as co-dimension
one holographic duals to asymptotically flat spacetimes as opposed to Celestial CFTs which …

A bstract We develop a Mellin space approach to boundary correlation functions in anti-de
Sitter (AdS) and de Sitter (dS) spaces. Using the Mellin-Barnes representation of correlators …

We use the conformal bootstrap to perform a precision study of the operator spectrum of the
critical 3d Ising model. We conjecture that the 3d Ising spectrum minimizes the central …

We compute numerically the dimensions and OPE coefficients of several operators in the 3d
Ising CFT, and then try to reverse-engineer the solution to crossing symmetry analytically …

A bstract We compare and contrast the two approaches of holography in asymptotically flat
spacetimes, viz. the co-dimension two Celestial approach based on the Mellin …