409 research outputs found
Thermodynamics 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 behavior of these field theories in the presence
of voltages under the R-symmetry. Boundaries of stability are computed for all
spinning branes both in the grand canonical and canonical ensemble, and the
effect of multiple angular momenta is considered. A recently proposed
regularization of the field theory is used to compute the corresponding
boundaries of stability at weak coupling. For the D2, D3, D4, M2 and M5-branes
the critical values of Omega/T in the weak and strong coupling limit are
remarkably close. Finally, we also show that for the spinning D3-brane the tree
level R^4 correction supports the conjecture of a smooth interpolating function
between the free energy at weak and strong coupling.Comment: 59 pages, JHEP class. Minor typos corrected, added remark on
positivity of temperature, Sec. 6.1 improved, references adde
Phase Structure of Non-Commutative Field Theories and Spinning Brane Bound States
General spinning brane bound states are constructed, along with their
near-horizon limits which are relevant as dual descriptions of non-commutative
field theories. For the spinning D-brane world volume theories with a B-field a
general analysis of the gauge coupling phase structure is given, exhibiting
various novel features, already at the level of zero angular momenta. We show
that the thermodynamics is equivalent to the commutative case at large N and we
discuss the possibility and consequences of finite N. As an application of the
general analysis, the range of validity of the thermodynamics for the NCSYM is
discussed. In view of the recently conjectured existence of a 7-dimensional
NCSYM, the thermodynamics of the spinning D6-brane theory, for which a stable
region can be found, is presented in detail. Corresponding results for the
spinning M5-M2 brane bound state, including the near-horizon limit and
thermodynamics, are given as well.Comment: 34 pages, JHEP class. minor corrections, final JHEP versio
New nonuniform black string solutions
We present nonuniform vacuum black strings in five and six spacetime
dimensions. The conserved charges and the action of these solutions are
computed by employing a quasilocal formalism. We find qualitative agreement of
the physical properties of nonuniform black strings in five and six dimensions.
Our results offer further evidence that the black hole and the black string
branches merge at a topology changing transition. We generate black string
solutions of the Einstein-Maxwell-dilaton theory by using a Harrison
transformation. We argue that the basic features of these solutions can be
derived from those of the vacuum black string configurations.Comment: 30 pages, 12 figures; v2: more details on numerical method,
references added; v3: references added, minor revisions, version accepted by
journa
Phases of Kaluza-Klein Black Holes: A Brief Review
We review the latest progress in understanding the phase structure of static
and neutral Kaluza-Klein black holes, i.e. static and neutral solutions of pure
gravity with an event horizon that asymptote to a d-dimensional Minkowski-space
times a circle. We start by reviewing the (mu,n) phase diagram and the split-up
of the phase structure into solutions with an internal SO(d-1) symmetry and
solutions with Kaluza-Klein bubbles. We then discuss the uniform black string,
non-uniform black string and localized black hole phases, and how those three
phases are connected, involving issues such as classical instability and
horizon-topology changing transitions. Finally, we review the bubble-black hole
sequences, their place in the phase structure and interesting aspects such as
the continuously infinite non-uniqueness of solutions for a given mass and
relative tension.Comment: 23 pages, 5 figures. v2: Typo fixe
Three-Charge Black Holes on a Circle
We study phases of five-dimensional three-charge black holes with a circle in
their transverse space. In particular, when the black hole is localized on the
circle we compute the corrections to the metric and corresponding
thermodynamics in the limit of small mass. When taking the near-extremal limit,
this gives the corrections to the constant entropy of the extremal three-charge
black hole as a function of the energy above extremality. For the partial
extremal limit with two charges sent to infinity and one finite we show that
the first correction to the entropy is in agreement with the microscopic
entropy by taking into account that the number of branes shift as a consequence
of the interactions across the transverse circle. Beyond these analytical
results, we also numerically obtain the entire phase of non- and near-extremal
three- and two-charge black holes localized on a circle. More generally, we
find in this paper a rich phase structure, including a new phase of
three-charge black holes that are non-uniformly distributed on the circle. All
these three-charge black hole phases are found via a map that relates them to
the phases of five-dimensional neutral Kaluza-Klein black holes.Comment: 58 pages, 10 figures; v2: Corrected typos, version appearing in JHE
The First Law for Boosted Kaluza-Klein Black Holes
We study the thermodynamics of Kaluza-Klein black holes with momentum along
the compact dimension, but vanishing angular momentum. These black holes are
stationary, but non-rotating. We derive the first law for these spacetimes and
find that the parameter conjugate to variations in the length of the compact
direction is an effective tension, which generally differs from the ADM
tension. For the boosted black string, this effective tension is always
positive, while the ADM tension is negative for large boost parameter. We also
derive two Smarr formulas, one that follows from time translation invariance,
and a second one that holds only in the case of exact translation symmetry in
the compact dimension. Finally, we show that the `tension first law' derived by
Traschen and Fox in the static case has the form of a thermodynamic Gibbs-Duhem
relation and give its extension in the stationary, non-rotating case.Comment: 20 pages, 0 figures; v2 - reference adde
The Gregory-Laflamme instability for the D2-D0 bound state
The D2-D0 bound state exhibits a Gregory-Laflamme instability when it is
sufficiently non-extremal. If there are no D0-branes, the requisite
non-extremality is finite. When most of the extremal mass comes from D0-branes,
the requisite non-extremality is very small. The location of the threshhold for
the instability is determined using a local thermodynamic analysis which is
then checked against a numerical analysis of the linearized equations of
motion. The thermodynamic analysis reveals an instability of non-commutative
field theory at finite temperature, which may occur only at very long
wavelengths as the decoupling limit is approached.Comment: 19 pages, Latex2e. v2: two refs added. v3: clearer exposition in
section
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