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Logarithmic doublets in CCFT

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arxiv 2407.17123 v1 pith:QOPUYVWL submitted 2024-07-24 hep-th gr-qc

Logarithmic doublets in CCFT

classification hep-th gr-qc
keywords logarithmiccelestialdoubletsassociatedasymptoticbehaviorccftconformal
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We investigate the presence of logarithmic CFT doublets in the soft sector of celestial CFT related with supertranslations. We show that the quantum operator associated with a $\log u$ late-time behavior for the asymptotic gravitational shear forms a logarithmic CFT pair of conformal dimension $\Delta=1$ with an IR-regulated supertranslation Goldstone current. We discuss this result in connection with previous encounters of log CFT structures in the IR-finite part of celestial OPEs.

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