Statut  Confirmé 
Série  STRLPTENSHE 
Domaines  hepth 
Date  Mardi 16 Avril 2019 
Heure  11:30 
Institut  LPTENS 
Salle  LPTENS library 
Nom de l'orateur  Dutta Chowdhury 
Prenom de l'orateur  Subham 
Addresse email de l'orateur  
Institution de l'orateur  Tata Institute 
Titre  Constraints on parity violating CFTs in d=3 
Résumé  Conformal invariance allows additional unique parityodd tensorstructures for threepoint functions involving the stress tensor, T, and a conserved U(1) current, j, in 2+1 dimensional conformal field theories that violate parity, apart from the usual parity even structures. We study the modifications to the crossing equations in d = 3 for the four point function of two U(1) currents and two scalars due to the presence of this parity violating term for the schannel stress tensor exchange. We show the existence of a tower of double trace operators in the tchannel whose presence is necessary for the crossing equation to be satisfied and determine the corresponding large spin parity violating OPE coefficients. We then study the possible constraints on this parity violating coupling of the three point function from causality arguments and apply them to Large N Chern Simons theories coupled to fundamental matter which are known to be parity violating. 
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