253 citations · 1.1k across the 20 of their papers we have counts for
5 papers · 1 filter
Casimir recursion relations for general conformal blocks
Petr Kravchuk
We study the structure of series expansions of general spinning conformal blocks. We find that the terms in these expansions are naturally expressed by means of special functions r…
The 3d Stress-Tensor Bootstrap
Anatoly Dymarsky, Filip Kos, Petr Kravchuk +2
We study the conformal bootstrap for 4-point functions of stress tensors in parity-preserving 3d CFTs. To set up the bootstrap equations, we analyze the constraints of conformal sy…
Weight Shifting Operators and Conformal Blocks
Denis Karateev, Petr Kravchuk, David Simmons-Duffin
We introduce a large class of conformally-covariant differential operators and a crossing equation that they obey. Together, these tools dramatically simplify calculations involvin…
General Bootstrap Equations in 4D CFTs
Gabriel Francisco Cuomo, Denis Karateev, Petr Kravchuk
We provide a framework for generic 4D conformal bootstrap computations. It is based on the unification of two independent approaches, the covariant (embedding) formalism and the no…
Bootstrapping the Spectral Function: On the Uniqueness of Liouville and the Universality of BTZ
Scott Collier, Petr Kravchuk, Ying-Hsuan Lin +1
We introduce spectral functions that capture the distribution of OPE coefficients and density of states in two-dimensional conformal field theories, and show that nontrivial upper…