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arXiv · hep-th/9811120

The Coulomb Branch of Gauge Theory from Rotating Branes

Per Kraus·Finn Larsen·Sandip P. Trivedi
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Abstract

At zero temperature the Coulomb Branch of ${\cal N}=4$ super Yang-Mills theory is described in supergravity by multi-center solutions with D3-brane charge. At finite temperature and chemical potential the vacuum degeneracy is lifted, and minima of the free energy are shown to have a supergravity description as rotating black D3-branes. In the extreme limit these solutions single out preferred points on the moduli space that can be interpreted as simple distributions of branes --- for instance, a uniformly charged planar disc. We exploit this geometrical representation to study the thermodynamics of rotating black D3-branes. The low energy excitations of the system appear to be governed by an effective string theory which is related to the singularity in spacetime.

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Per Kraus, Finn Larsen, Sandip P. Trivedi. 1998-11-16. The Coulomb Branch of Gauge Theory from Rotating Branes. https://doi.org/10.1088/1126-6708%2F1999%2F03%2F003

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