8,865 research outputs found
Boosted Quantum Black Hole and Black String in M-theory, and Quantum Correction to Gregory-Laflamme Instability
We take into account higher derivative R4 corrections in M-theory and
construct quantum black hole and black string solutions in 11 dimensions up to
the next leading order. The quantum black string is stretching along the 11th
direction and the Gregory-Laflamme instability is examined at the quantum
level. Thermodynamics of the boosted quantum black hole and black string are
also discussed. Especially we take the near horizon limit of the quantum black
string and investigate its instability quantitatively.Comment: 27 pages, 5 figures. References added and effect of the
compactification for the black hole is discussed around eq. (68
Quantum M-wave and Black 0-brane
The effective action of superstring theory or M-theory is approximated by
supergravity in the low energy limit, and quantum corrections to the
supergravity are taken into account by including higher derivative terms. In
this paper, we consider equations of motion with those higher derivative terms
in M-theory and solve them to derive quantum M-wave solution. A quantum black
0-brane solution is also obtained by Kaluza-Klein dimensional reduction of the
M-wave solution. The quantum black 0-brane is asymptotically flat and uniquely
determined by imposing appropriate conditions. The mass and the R-R charge of
the quantum black 0-brane are derived by using the ADM mass and the charge
formulae, and we see that only the mass is affected by the quantum correction.
Various limits of the quantum black 0-brane are also considered, and especially
we show that an internal energy in the near horizon limit is correctly
reproduced.Comment: 26 pages. Section 6 and references adde
Toward the Determination of R^3F^2 Terms in M-theory
Higher derivative terms in M-theory are investigated by applying the Noether
method. Cancellation of variations under the local supersymmetry is examined to
the order linear in F by a computer program. Structure of R^4 terms is uniquely
determined and exactly matches with one-loop effective terms in type IIA
superstring theory. A part of R^3F^2 terms is also determined.Comment: 13 pages, a reference adde
Quantum Near Horizon Geometry of Black 0-Brane
We investigate a bunch of D0-branes to reveal its quantum nature from the
gravity side. In the classical limit, it is well described by a non-extremal
black 0-brane in type IIA supergravity. The solution is uplifted to the eleven
dimensions and expressed by a non-extremal M-wave solution. After reviewing the
effective action for the M-theory, we explicitly solve the equations of motion
for the near horizon geometry of the M-wave. As a result we derive an unique
solution which includes the effect of the quantum gravity. Thermodynamic
property of the quantum near horizon geometry of the black 0-brane is also
studied by using Wald's formula. Combining our result with that of the Monte
Carlo simulation of the dual thermal gauge theory, we find strong evidence for
the gauge/gravity duality in the D0-branes system at the level of quantum
gravity.Comment: 34 pages, 2 figures, section 7 is added to clarify the validity of
the analyses, references added, typos corrected. Lower bound of eq. (64) and
fig. 2 in section 7 are correcte
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