99 citations · 248 across the 8 of their papers we have counts for
8 papers
Lightcone Modular Bootstrap and Tauberian Theory: A Cardy-like Formula for Near-extremal Black Holes
Sridip Pal, Jiaxin Qiao
We show that for a unitary modular invariant 2D CFT with central charge and having a nonzero twist gap in the spectrum of Virasoro primaries, for sufficiently large spin ,…
Twist accumulation in conformal field theory. A rigorous approach to the lightcone bootstrap
Sridip Pal, Jiaxin Qiao, Slava Rychkov
We prove that in any unitary CFT, a twist gap in the spectrum of operator product expansion (OPE) of identical scalar primary operators (i.e. ) implies the existence of…
On the Wick Rotation of the Four-point Function in Conformal Field Theories
Jiaxin Qiao
Conformal field theories (CFTs) in Euclidean signature satisfy well-accepted rules, such as conformal invariance and the convergent Euclidean operator product expansion (OPE). Nowa…
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…
Classification of Convergent OPE Channels for Lorentzian CFT Four-Point Functions
Jiaxin Qiao
We analyze the convergence properties of operator product expansions (OPE) for Lorentzian CFT four-point functions of scalar operators. We give a complete classification of Lorentz…
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…
A tauberian theorem for the conformal bootstrap
Jiaxin Qiao, Slava Rychkov
For expansions in one-dimensional conformal blocks, we provide a rigorous link between the asymptotics of the spectral density of exchanged primaries and the leading singularity in…
Cut-touching linear functionals in the conformal bootstrap
Jiaxin Qiao, Slava Rychkov
The modern conformal bootstrap program often employs the method of linear functionals to derive the numerical or analytical bounds on the CFT data. These functionals must have a cr…