137 research outputs found
Fuzzy BIon
We construct a solution of the BFSS matrix theory, which is a counterpart of
the BIon solution representing a fundamental string ending on a bound state of
a D2-brane and D0-branes. We call this solution the `fuzzy BIon' and show that
this configuration preserves 1/4 supersymmetry of type IIA superstring theory.
We also construct an effective action for the fuzzy BIon by analyzing the
nonabelian Born-Infeld action for D0-branes. When we take the continuous limit,
with some conditions, this action coincides with the effective action for the
BIon configuration.Comment: 11 pages, 1 figure, reference and note adde
Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
We perform a direct test of the gauge-gravity duality associated with the
system of N D0-branes in type IIA superstring theory at finite temperature.
Based on the fact that higher derivative corrections to the type IIA
supergravity action start at the order of \alpha'^3, we derive the internal
energy in expansion around infinite 't Hooft coupling up to the subleading term
with one unknown coefficient. The power of the subleading term is shown to be
nicely reproduced by the Monte Carlo data obtained nonperturbatively on the
gauge theory side at finite but large effective (dimensionless) 't Hooft
coupling constant. This suggests, in particular, that the open strings attached
to the D0-branes provide the microscopic origin of the black hole
thermodynamics of the dual geometry including \alpha' corrections. The
coefficient of the subleading term extracted from the fit to the Monte Carlo
data provides a prediction for the gravity side, which can be checked once the
complete form of the O(\alpha'^3) corrections to the supergravity action is
obtained.Comment: REVTeX4, 4 pages, 2 figures. Ver.2:intuitive derivation of the
subleading term adde
Fuzzy Rings in D6-Branes and Magnetic Field Background
We use the Myers T-dual nonabelin Born-Infeld action to find some new
nontrivial solutions for the branes in the background of D6-branes and Melvin
magnetic tube field. In the D6-Branes background we can find both of the fuzzy
sphere and fuzzy ring solutions, which are formed by the gravitational
dielectric effect. We see that the fuzzy ring solution has less energy then
that of the fuzzy sphere. Therefore the fuzzy sphere will decay to the fuzzy
ring configuration. In the Melvin magnetic tube field background there does not
exist fuzzy sphere while the fuzzy ring configuration may be formed by the
magnetic dielectric effect. The new solution shows that propagating in
the D6-branes and magnetic tube field background may expand into a rotating
fuzzy ring. We also use the Dirac-Born-Infeld action to construct the ring
configuration from the D-branes.Comment: Latex, 15 pages, detailed comments in section 2, typos correcte
Higher Derivative Corrections to Eleven Dimensional Supergravity via Local Supersymmetry
In this paper we derive higher derivative corrections to the eleven
dimensional supergravity by applying the Noether method with respect to the N=1
local supersymmetry. An ansatz for the higher derivative effective action,
which includes quartic terms of the Riemann tensor, is parametrized by 132
parameters. Then we show that by the requirement of the local supersymmetry,
the higher derivative effective action is essentially described by two
parameters. The bosonic parts of these two superinvariants completely match
with the known results obtained by the perturbative calculations in the type
IIA superstring theory. Since the calculations are long and systematic, we
build the computer programming to check the cancellation of the variations
under the local supersymmetry. This is an extended version of our previous
paper hep-th/0508204.Comment: 67 pages, no figure, references added, typos correcte
Expanded Strings in the Background of NS5-branes via a M2-brane, a D2-brane and D0-branes
Classical configurations of a M2-brane, a D2-brane and D0-branes are
investigated in the background of an infinite array of M5-branes or NS5-branes.
On the M2-brane, we discuss three kinds of configurations, such as a sphere, a
cylinder and a torus-like one. These are stabilized by virtue of the background
fluxes of M5-branes. The torus-like M2-brane configuration has winding and
momentum numbers of 11th direction, and in terms of the type IIA superstring
theory, this corresponds to a torus-like D2-brane with electric and magnetic
fluxes on it. We also reproduce the same configuration from a non-abelian
Born-Infeld action for D0-branes. It will be a construction of closed strings
from D0-branes. An electric flux quantization condition on the D2-brane is also
discussed in terms of D0-branes.Comment: 33 pages, 6 figures, references and footnote added, confusing
expressions and introduction are improved, version to appear in JHE
The Structure of D2-Branes in the Presence of an RR field
A Born--Infeld theory describing a --brane coupled to a 3--form RR
potential is reconsidered and a new type of static solution is obtained which
is even stable.Comment: 11 pages, 2 postscript figures, v2 a significantly revised including
title, v3 expression of energy for D2 brane is improved, version to appear in
JHE
Aspects of higher curvature terms and U-duality
We discuss various aspects of dimensional reduction of gravity with the
Einstein-Hilbert action supplemented by a lowest order deformation formed as
the Riemann tensor raised to powers two, three or four. In the case of R^2 we
give an explicit expression, and discuss the possibility of extended coset
symmetries, especially SL(n+1,Z) for reduction on an n-torus to three
dimensions. Then we start an investigation of the dimensional reduction of R^3
and R^4 by calculating some terms relevant for the coset formulation, aiming in
particular towards E_8(8)/(Spin(16)/Z_2) in three dimensions and an
investigation of the derivative structure. We emphasise some issues concerning
the need for the introduction of non-scalar automorphic forms in order to
realise certain expected enhanced symmetries.Comment: 26 pp., 15 figs., plain te
Generally Covariant Actions for Multiple D-branes
We develop a formalism that allows us to write actions for multiple D-branes
with manifest general covariance. While the matrix coordinates of the D-branes
have a complicated transformation law under coordinate transformations, we find
that these may be promoted to (redundant) matrix fields on the transverse space
with a simple covariant transformation law. Using these fields, we define a
covariant distribution function (a matrix generalization of the delta function
which describes the location of a single brane). The final actions take the
form of an integral over the curved space of a scalar single-trace action built
from the covariant matrix fields, tensors involving the metric, and the
covariant distribution function. For diagonal matrices, the integral localizes
to the positions of the individual branes, giving N copies of the single-brane
action.Comment: 34 pages, LaTeX. v2: comments and refs adde
Fate of the Black String Instability
Gregory and Laflamme showed that certain nonextremal black strings (and
p-branes) are unstable to linearized perturbations. It is widely believed that
this instability will cause the black string horizon to classically pinch off
and then quantum mechanically separate, resulting in higher dimensional black
holes. We argue that this cannot happen. Under very mild assumptions, classical
event horizons cannot pinch off. Instead, they settle down to new static black
string solutions which are not translationally invariant along the string.Comment: 11 pages, v2: few clarifications and references adde
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