Status  Confirmed 
Seminar Series  RENCTHEO 
Subjects  hepth 
Date  Thursday 23 May 2019 
Time  10:00 
Institute  IHP 
Seminar Room  314 
Speaker's Last Name  Lauria 
Speaker's First Name  Edoardo 
Speaker's Email Address  
Speaker's Institution  Durham 
Title  3d Abelian Gauge theories at the Boundary 
Abstract  A fourdimensional abelian gauge theory can be coupled to a 3d CFT with a U(1) symmetry living on a boundary. This coupling gives rise to a continuous family of boundary conformal field theories (BCFTs) parametrized by the gauge coupling \tau and by the choice of the CFT in the decoupling limit. Upon performing an ElectricMagnetic duality in the bulk and going to the decoupling limit in the new frame, one finds a different 3d CFT on the boundary, related to the original one by Witten's SL(2, Z) action. In particular the cusps on the real \tau axis correspond to the 3d gauging of the original CFT. We study general properties of this family of BCFTs. We show how to express bulk one and twopoint functions, and the hemisphere free energy, in terms of the twopoint functions of the boundary electric and magnetic currents. Finally, upon assuming particlevortex duality (and its fermionic version), we show how to turn this machinery into a powerful computational tool to study 3d gauge theories. 
arXiv Preprint Number  1902.09567 
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