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SUMMARY:Large-charge expansions and their asymptotics. - Nicola Andrea Don
 di (Universität Bern)
DTSTART:20220914T080000Z
DTEND:20220914T090000Z
UID:TALK178115@talks.cam.ac.uk
DESCRIPTION:In generic CFTs with a U(1) symmetry\, the conformal data rela
 ted to heavy operators of large U(1)-charge Q can be organised in a pertur
 bative series in 1/Q. These perturbative expansions are generically factor
 ially divergent. I will present the example of the 3D Wilson-Fisher O(2N) 
 CFT in a suitable large-charge sector\, where also N is taken to be large.
  Scaling dimensions in this model show double factorial growth in 1/Q gene
 rated by Worldline instantons saddles. These non-perturbative corrections 
 can be systematically included in an unambiguous transseries which can be 
 extrapolated to light low-charged sectors. The factorial growth can be rel
 ated to the dilution and consequent breakdown of the heavy-density superfl
 uid EFT phase which governs the large-Q sector of this CFT. The talk is ba
 sed on work done in collaboration with Susanne Reffert\, Domenico Orlando 
 and Ioannis Kalogerakis from the University of Bern.
LOCATION:No Room Required
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