281 research outputs found
The mixed black hole partition function for the STU model
We evaluate the mixed partition function for dyonic BPS black holes using the
recently proposed degeneracy formula for the STU model. The result factorizes
into the OSV mixed partition function times a proportionality factor. The
latter is in agreement with the measure factor that was recently conjectured
for a class of N=2 black holes that contains the STU model.Comment: 14 page
The holographic RG flow in a field theory on a curved background
As shown by Freedman, Gubser, Pilch and Warner, the RG flow in
super-Yang-Mills theory broken to an theory by the addition of a
mass term can be described in terms of a supersymmetric domain wall solution in
five-dimensional gauged supergravity. The FGPW flow is an example
of a holographic RG flow in a field theory on a flat background. Here we put
the field theory studied by Freedman, Gubser, Pilch and Warner on a curved
background, and we construct the supersymmetric domain wall solution
which describes the RG flow in this field theory. This solution is a curved
(non Ricci flat) domain wall solution. This example demonstrates that
holographic RG flows in supersymmetric field theories on a curved
background can be described in terms of curved supersymmetric domain wall
solutions.Comment: 14 pages, LaTe
Perturbative gravitational couplings and Siegel modular forms in string models
We consider four-parameter string models with Hodge numbers
and , and we express their perturbative Wilsonian
gravitational coupling in terms of Siegel modular forms.Comment: 8 pages, Latex 2.09, Contribution to the Proceedings of the 30th
International Symposium Ahrenshoop on the Theory of Elementary Particles,
Buckow, August 27-31, 199
Entropy function for rotating extremal black holes in very special geometry
We use the relation between extremal black hole solutions in five- and in
four-dimensional N=2 supergravity theories with cubic prepotentials to define
the entropy function for extremal black holes with one angular momentum in five
dimensions. We construct two types of solutions to the associated attractor
equations.Comment: 15 pages, minor change
Extremal non-BPS black holes and entropy extremization
At the horizon, a static extremal black hole solution in N=2 supergravity in
four dimensions is determined by a set of so-called attractor equations which,
in the absence of higher-curvature interactions, can be derived as
extremization conditions for the black hole potential or, equivalently, for the
entropy function. We contrast both methods by explicitly solving the attractor
equations for a one-modulus prepotential associated with the conifold. We find
that near the conifold point, the non-supersymmetric solution has a
substantially different behavior than the supersymmetric solution. We analyze
the stability of the solutions and the extrema of the resulting entropy as a
function of the modulus. For the non-BPS solution the region of attractivity
and the maximum of the entropy do not coincide with the conifold point.Comment: 19 pages, 4 figures, AMS-LaTeX, reference adde
Asymptotic degeneracy of dyonic N=4 string states and black hole entropy
It is shown that the asymptotic growth of the microscopic degeneracy of BPS
dyons in four-dimensional N=4 string theory captures the known corrections to
the macroscopic entropy of four-dimensional extremal black holes. These
corrections are subleading in the limit of large charges and originate both
from the presence of interactions in the effective action quadratic in the
Riemann tensor and from non-holomorphic terms. The presence of the
non-holomorphic corrections and their contribution to the thermodynamic free
energy is discussed. It is pointed out that the expression for the microscopic
entropy, written as a function of the dilaton field, is stationary at the
horizon by virtue of the attractor equations.Comment: 16 pages Late
First-order flow equations for extremal black holes in very special geometry
We construct interpolating solutions describing single-center static extremal
non-supersymmetric black holes in four-dimensional N=2 supergravity theories
with cubic prepotentials. To this end, we derive and solve first-order flow
equations for rotating electrically charged extremal black holes in a Taub-NUT
geometry in five dimensions. We then use the connection between five- and
four-dimensional extremal black holes to obtain four-dimensional flow equations
and we give the corresponding solutions.Comment: 21 pages. v2: Summary section adde
Holographic Gravitational Anomalies
In the AdS/CFT correspondence one encounters theories that are not invariant
under diffeomorphisms. In the boundary theory this is a gravitational anomaly,
and can arise in 4k+2 dimensions. In the bulk, there can be gravitational
Chern-Simons terms which vary by a total derivative. We work out the
holographic stress tensor for such theories, and demonstrate agreement between
the bulk and boundary. Anomalies lead to novel effects, such as a nonzero
angular momentum for global AdS(3). In string theory such Chern-Simons terms
are known with exact coefficients. The resulting anomalies, combined with
symmetries, imply corrections to the Bekenstein-Hawking entropy of black holes
that agree exactly with the microscopic counting.Comment: 25 page
Deformation of Curved BPS Domain Walls and Supersymmetric Flows on 2d K\"ahler-Ricci Soliton
We consider some aspects of the curved BPS domain walls and their
supersymmetric Lorentz invariant vacua of the four dimensional N=1 supergravity
coupled to a chiral multiplet. In particular, the scalar manifold can be viewed
as a two dimensional K\"ahler-Ricci soliton generating a one-parameter family
of K\"ahler manifolds evolved with respect to a real parameter, . This
implies that all quantities describing the walls and their vacua indeed evolve
with respect to . Then, the analysis on the eigenvalues of the first
order expansion of BPS equations shows that in general the vacua related to the
field theory on a curved background do not always exist. In order to verify
their existence in the ultraviolet or infrared regions one has to perform the
renormalization group analysis. Finally, we discuss in detail a simple model
with a linear superpotential and the K\"ahler-Ricci soliton considered as the
Rosenau solution.Comment: 19 pages, no figures. Typos corrected. Published versio
Entropy Function for Heterotic Black Holes
We use the entropy function formalism to study the effect of the Gauss-Bonnet
term on the entropy of spherically symmetric extremal black holes in heterotic
string theory in four dimensions. Surprisingly the resulting entropy and the
near horizon metric, gauge field strengths and the axion-dilaton field are
identical to those obtained by Cardoso et. al. for a supersymmetric version of
the theory that contains Weyl tensor squared term instead of the Gauss-Bonnet
term. We also study the effect of holomorphic anomaly on the entropy using our
formalism. Again the resulting attractor equations for the axion-dilaton field
and the black hole entropy agree with the corresponding equations for the
supersymmetric version of the theory. These results suggest that there might be
a simpler description of supergravity with curvature squared terms in which we
supersymmetrize the Gauss-Bonnet term instead of the Weyl tensor squared term.Comment: LaTeX file, 23 pages; v2: references added; v3: minor addition; v4:
minor change
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