New phases of near-extremal branes on a circle

by Troels Harmark (Niels Bohr Institute)

Tuesday 12 Oct 2004, 14:00 → 15:00 Europe/Zurich

TH Auditorium (CERN)

This talk is on the subject of near-extremal branes on a circle. We show, by use of a boost/U-duality trans-formation, plus a near-extremal limit, that there is a precise connection between neutral (i.e. pure gravity) black holes in Kaluza-Klein spaces (i.e. Minkowski space times a circle) and near-extremal branes on a circle. For instance, this has the consequence that the thermodynamical phase structure of a near-extremal D2-brane with a circle in its transverse space can be found from studying the phases of black holes on 8-dimen-sional Kaluza-Klein space. This gives in turn predictions for the phase structure of the dual field theories, for instance for N=4 Super Yang-Mills theory on a circle (for the case of the D2-brane on a circle). The non-uniform black string phase on Kaluza-Klein space gives a new phase for near-extremal branes on a circle, and this furthermore predicts a new phase of the dual theories on the branes. This has interesting consequences for the M5-brane on a circle and the (2,0) Little String Theory, which is its dual non-gravitational theory.