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More on the operator-state map in non-relativistic CFTs

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arxiv 2109.03836 v2 pith:PEMHHN3Y submitted 2021-09-08 hep-th

Georgios K. Karananas , Alexander Monin This is my paper · ORCID
classification hep-th
keywords conformalconstructionfieldnon-relativisticoperator-statetheoriesalgebraalgebraic
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We propose an algebraic construction of the operator-state correspondence in non-relativistic conformal field theories by explicitly constructing an automorphism of the Schr\"odinger algebra relating generators in different frames. It is shown that the construction follows closely that of relativistic conformal field theories.

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  1. Conformal Mapping of Non-Lorentzian Geometries in SU(1,2) Conformal Field Theory

    hep-th 2024-11 reject novelty 6.0 of 10

    An explicit conformal mapping is derived between null-reduced R times S^3 and Omega-deformed Minkowski TNC geometries, giving the state-operator generator map H0 = (R^2 H + C/R^2 - J - N)/2 in SU(1,2) non-Lorentzian CFTs.

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