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A recipe for conformal blocks · Around

2019

A recipe for conformal blocks

Fortin, Jean-François, Skiba, Witold

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We describe a prescription for constructing conformal blocks in conformal field theories in any space-time dimension with arbitrary quantum numbers.

Our procedure reduces the calculation of conformal blocks to constructing certain group theoretic structures that depend on the quantum numbers of primary operators.
These structures project into irreducible Lorentz representations.
Once the Lorentz quantum numbers are accounted for there are no further calculations left to do.

Built on

J. F. Fortin and W. Skiba, arXiv:1612.08672 [hep-th]; V. Comeau, J. F. Fortin and W. Skiba, arXiv:1902.08598 [hep-th]
Original
1902
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Then

A. Castedo Echeverri, E. Elkhidir, D. Karateev and M. Serone, JHEP 1508
2016
Later among the works it cites.
J. F. Fortin and W. Skiba, Phys. Rev. D 93
2016
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M. S. Costa, J. Penedones, D. Poland and S. Rychkov, JHEP 1111
2018
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R. Rattazzi, V. S. Rychkov, E. Tonni and A. Vichi, JHEP 0812
2019
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