# Compressible Quantum Phases from Conformal Field Theories in 2+1 Dimensions

 Title: Compressible Quantum Phases from Conformal Field Theories in 2+1 Dimensions Author: Sachdev, Subir Citation: Sachdev, Subir. 2012. Compressible quantum phases from conformal field theories in 2+1 dimensions. Physical Review D 86(12): 126003. Full Text & Related Files: 79928142(1).pdf (610.3Kb; PDF) Abstract: Conformal field theories (CFTs) with a globally conserved U(1) charge Q can be deformed into compressible phases by modifying their Hamiltonian, H, by a chemical potential H→H-μQ. We study 2+1 dimensional CFTs upon which an explicit S duality mapping can be performed. We find that this construction leads naturally to compressible phases which are superfluids, solids, or non-Fermi liquids which are more appropriately called “Bose metals” in the present context. The Bose metal preserves all symmetries and has Fermi surfaces of gauge-charged fermions, even in cases where the parent CFT can be expressed solely by bosonic degrees of freedom. Monopole operators are identified as order parameters of the solids, and the product of their magnetic charge and Q determines the area of the unit cell. We present implications for holographic theories on asymptotically AdS$$_4$$ spacetimes: S duality and monopole/dyon fields play important roles in this connection. Published Version: doi:10.1103/PhysRevD.86.126003 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:10886838 Downloads of this work: