253 citations · 1.1k across the 20 of their papers we have counts for
24 papers
Bootstrapping currents and stress tensors in 3d CFTs
Vasiliy Dommes, Rajeev S. Erramilli, Colum Flynn +5
We perform a numerical conformal bootstrap study of the mixed system of correlation functions involving a spin-1 current and the stress-energy tensor in par…
Accurate bootstrap bounds from optimal interpolation
Cyuan-Han Chang, Vasiliy Dommes, Petr Kravchuk +2
We develop new methods for approximating conformal blocks as positive functions times polynomials, with applications to the numerical bootstrap. We argue that to obtain accurate bo…
AdS -body problem at large spin
Petr Kravchuk, Jeremy A. Mann
Motivated by the problem of multi-twist operators in general CFTs, we study the leading-twist states of the -body problem in AdS at large spin . We find that for the majority…
Bootstrapping the 3d Ising Stress Tensor
Cyuan-Han Chang, Vasiliy Dommes, Rajeev S. Erramilli +6
We compute observables of the critical 3d Ising model to high precision by applying the numerical conformal bootstrap to mixed correlators of the leading scalar operators and $…
Missing local operators, zeros, and twist-4 trajectories
Johan Henriksson, Petr Kravchuk, Brett Oertel
The number of local operators in a CFT below a given twist grows with spin. Consistency with analyticity in spin then requires that at low spin, infinitely many Regge trajectories…
The Gross-Neveu-Yukawa Archipelago
Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk +3
We perform a bootstrap analysis of a mixed system of four-point functions of bosonic and fermionic operators in parity-preserving 3d CFTs with O(N) global symmetry. Our results pro…
Detectors in weakly-coupled field theories
Simon Caron-Huot, Murat Kologlu, Petr Kravchuk +2
We initiate a study of asymptotic detector operators in weakly-coupled field theories. These operators describe measurements that can be performed at future null infinity in a coll…
Distributions in CFT II. Minkowski Space
Petr Kravchuk, Jiaxin Qiao, Slava Rychkov
CFTs in Euclidean signature satisfy well-accepted rules, such as the convergent Euclidean OPE. It is nowadays common to assume that CFT correlators exist and have various propertie…
blocks_3d: Software for general 3d conformal blocks
Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk +3
We introduce the software blocks_3d for computing four-point conformal blocks of operators with arbitrary Lorentz representations in 3d CFTs. It uses Zamolodchikov-like recursion r…
Transverse spin in the light-ray OPE
Cyuan-Han Chang, Murat Kologlu, Petr Kravchuk +2
We study a product of null-integrated local operators and on the same null plane in a CFT. Such null-integrated operators transform like primaries i…
Distributions in CFT I. Cross-Ratio Space
Petr Kravchuk, Jiaxin Qiao, Slava Rychkov
We show that the four-point functions in conformal field theory are defined as distributions on the boundary of the region of convergence of the conformal block expansion. The conf…
Recursion relation for general 3d blocks
Rajeev S. Erramilli, Luca V. Iliesiu, Petr Kravchuk
We derive closed-form expressions for all ingredients of the Zamolodchikov-like recursion relation for general spinning conformal blocks in 3-dimensional conformal field theory. Th…
The light-ray OPE and conformal colliders
Murat Kologlu, Petr Kravchuk, David Simmons-Duffin +1
We derive a nonperturbative, convergent operator product expansion (OPE) for null-integrated operators on the same null plane in a CFT. The objects appearing in the expansion are l…
Shocks, Superconvergence, and a Stringy Equivalence Principle
Murat Kologlu, Petr Kravchuk, David Simmons-Duffin +1
We study propagation of a probe particle through a series of closely situated gravitational shocks. We argue that in any UV-complete theory of gravity the result does not depend on…
Fermion Conformal Bootstrap in 4d
Denis Karateev, Petr Kravchuk, Marco Serone +1
We apply numerical conformal bootstrap techniques to the four-point function of a Weyl spinor in 4d non-supersymmetric CFTs. We find universal bounds on operator dimensions and OPE…
Harmonic Analysis and Mean Field Theory
Denis Karateev, Petr Kravchuk, David Simmons-Duffin
We review some aspects of harmonic analysis for the Euclidean conformal group, including conformally-invariant pairings, the Plancherel measure, and the shadow transform. We introd…
Light-ray operators in conformal field theory
Petr Kravchuk, David Simmons-Duffin
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 nu…
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…
Counting Conformal Correlators
Petr Kravchuk, David Simmons-Duffin
We introduce simple group-theoretic techniques for classifying conformally-invariant tensor-structures. With them, we classify tensor structures of general n-point functions of non…
Reflections on Conformal Spectra
Hyungrok Kim, Petr Kravchuk, Hirosi Ooguri
We use modular invariance and crossing symmetry of conformal field theory to reveal approximate reflection symmetries in the spectral decompositions of the partition function in tw…