Statut  Confirmé 
Série  SEMEXCEP 
Domaines  condmat 
Date  Mercredi 22 Novembre 2017 
Heure  11:00 
Institut  LPTHE 
Salle  Bibliotheque du LPTHE, tour 1314, 4eme etage 
Nom de l'orateur  Phillips 
Prenom de l'orateur  Philip 
Addresse email de l'orateur  
Institution de l'orateur  University of Illinois 
Titre  Anomalous Dimensions for Conserved Currents as a loophole in Noether's Theorems 
Résumé  For the past 30 years, the transport properties in the unusual metallic phase seen in the cuprate superconductors and many other quantum critical metals, have defied an explanation in terms of the standard building blocks of modern physics  particles with local interactions and conservation laws. A recent proposal suggests that all of the properties of such `strange metals' can be understood if the current has an anomalous dimension not determined simply by dimensional analysis. My talk will focus on trying to understand this claim. To demystify this claim, I will first show that even in the standard formulation of gauge theories, there is a loophole in Noether's theorems which has remained `almost' (Noether was aware of it) unnoticed until now, that can allow, in principle, for the current to have any allowable dimension. The only quantum theories to date which exhibit such odd behaviour are bulk diatonic models. The corresponding boundary theory is inherently nonlocal as dictated by the only possible exception to Noether's theorms. The existence of currents having anomalous dimensions, a direct probe of the existence of extra `hidden' dimensions, can be tested with the AharonovBohm effect. I will describe this effect and its potential impact for unlocking the secret of the strange metal in the cuprates. I will also construct the Virasoro algebra for such fractional currents and discuss the general implications for the bulkboundary construction in holography. 
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