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Vortex Lattices and Crystalline Geometries
February 24, 20142:00 pm – 3:00 pm (CDT)

Vortex Lattices and Crystalline Geometries


Sarah Harrison (Stanford University)



Mitchell Institute for Fundamental Physics & Astronomy

College Station, Texas 77843

Event Details

Monopole operators in CFTs doped by a chemical potential are thought to serve as order parameters for solid phases in the IR. Via electric-magnetic duality, these monopole operators are mapped to electrically charged operators coupled to a background magnetic field. In the bulk gravitational description, this allows us to view the formation of the solid by studying vortex lattice formation in the theory of a charged scalar moving in a background magnetic field. For certain Einstein-Maxwell-dilaton systems, we analytically solve the coupled partial differential equations which govern the charged scalar, gauge field, and metric degrees of freedom to lowest non-trivial order in an expansion around the critical point. This results in a metric, which has a crystalline form at leading order in the linearized approximation. Finally, we discuss the corrections to the free energy and thermodynamic functions arising from the formation of the lattice.

Video Recording

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