### Quantum hallography

Semenoff, GW *(University of British Columbia)*

Friday 20 September 2013, 16:15-17:00

Seminar Room 1, Newton Institute

#### Abstract

A new holographic description of defect field theories using probe D5 branes is discussed. We consider a system where a large number of probe branes, which are asymptotically D5 branes blow up into a D7 brane suspended in the bulk of anti-de Sitter space. For a particular ratio of charge density to external magnetic field, so that the Landau level filling fraction is exactly one, the D7 brane exhibits an incompressible, charge gapped state with one unit of integer quantized Hall conductivity. We also show that states with integer filling fractions greater than one are multiple D7 branes. We also see that compressible states can be those of D7 rather than D5 branes and we outline what is known about the phase diagram.

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