Thermodynamic Stability and Phases of General Spinning Branes
نویسندگان
چکیده
We determine the thermodynamic stability conditions for near-extreme rotating D3, M5, and M2-branes with multiple angular momenta. Critical exponents near the boundary of stability are discussed and compared with a naive field theory model. From a partially numerical computation we conclude that outside the boundary of stability, the angular momentum density tends to become spatially inhomogeneous. Periodic Euclidean spinning brane solutions have been studied as models of QCD. We explain how supersymmetry is restored in the worldvolume field theory in the limit of large spin and discuss the hierarchy of energy scales that develops as this limit is approached.
منابع مشابه
Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories
We study the thermodynamic stability of charged black holes in gauged supergravity theories in D = 5, D = 4 and D = 7. We find explicitly the location of the Hawking-Page phase transition between charged black holes and the pure anti-de Sitter space-time, both in the grand-canonical ensemble, where electric potentials are held fixed, and in the canonical ensemble, where total charges are held f...
متن کاملThermodynamics of Spinning Branes and their Dual Field Theories
We present a general analysis of the thermodynamics of spinning black p-branes of string and M-theory. This is carried out both for the asymptotically-flat and near-horizon case, with emphasis on the latter. In particular, we use the conjectured correspondence between the near-horizon brane solutions and field theories with 16 supercharges in various dimensions to describe the thermodynamic beh...
متن کاملThermodynamics of Field Theories from Spinning Branes ∗
We discuss general spinning p-branes of string and M-theory and use their thermody-namics along with the correspondence between near-horizon brane solutions and field theories with 16 supercharges to describe the thermodynamic behavior of these theories in the presence of voltages under the R-symmetry. The thermodynamics is used to provide two pieces of evidence in favor of a smooth interpolati...
متن کاملThermodynamics of spinning D3-branes
Spinning black three-branes in type IIB supergravity are thermodynamically stable up to a critical value of the angular momentum density. Inside the region of thermodynamic stability, the free energy from supergravity is roughly reproduced by a naive model based on free N = 4 super-Yang-Mills theory on the world-volume. The field theory model correctly predicts a limit on angular momentum densi...
متن کاملFragmentation of Spinning Branes
The near-horizon geometries of the spinning D3-, M2and M5-branes are examined by the probes immersed in a co-rotating frame. It is found that the geometries become unstable at critical values of the spin angular velocity by emitting the branes. We show that this instability corresponds to the metastability of the black hole systems and different from the known (local) thermodynamic instability....
متن کامل