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Original
1902
Earlier work this paper cites.
M. Kologlu, P. Kravchuk, D. Simmons-Duffin, and A. Zhiboedov, “Shocks, Superconvergence, and a Stringy Equivalence Principle,” arXiv:1904.05905 [hep-th]
Original
1904
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B. Mukhametzhanov and A. Zhiboedov, “Modular Invariance, Tauberian Theorems, and Microcanonical Entropy,” arXiv:1904.06359 [hep-th]
Original
1904
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M. F. Paulos and B. Zan, “A functional approach to the numerical conformal bootstrap,” arXiv:1904.03193 [hep-th]
Original
1904
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S. Ganguly and S. Pal, “Bounds on the density of states and the spectral gap in CFT 2
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2019

A Basis of Analytic Functionals for CFTs in General Dimension

Mazac, Dalimil, Rastelli, Leonardo, Zhou, Xinan

Understand

We develop an analytic approach to the four-point crossing equation in CFT, for general spacetime dimension.

In a unitary CFT, the crossing equation (for, say, the s- and t-channel expansions) can be thought of as a vector equation in an infinite-dimensional space of complex analytic functions in two variables, which satisfy a boundedness condition in the u-channel Regge limit.
We identify a useful basis for this space of functions, consisting of the set of s- and t-channel conformal blocks of double-twist operators in mean field theory.
We describe two independent algorithms to construct the dual basis of linear functionals, and work out explicitly many examples.