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2019

Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs

Ferrero, Pietro, Ghosh, Kausik, Sinha, Aninda et al.

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We develop the technology for Polyakov-Mellin (PM) bootstrap in one-dimensional conformal field theories (CFT$_1$).

By adding appropriate contact terms, we bootstrap various effective field theories in AdS$_2$ and analytically compute the CFT data to one loop.
The computation can be extended to higher orders in perturbation theory, if we ignore mixing, for any external dimension.
We develop PM bootstrap for $O(N)$ theories and derive the necessary contact terms for such theories (which also involves a new higher gradient contact term absent for $N=1$).

Crossing symmetry, transcendentality and the Regge behaviour of 1d CFTs · Around

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