1,118 research outputs found
Black Ring Deconstruction
We present a sample microstate for a black ring in four and five dimensional
language. The microstate consists of a black string microstate with an
additional D6-brane. We show that with an appropriate choice of parameters the
piece involving the black string microstate falls down a long AdS throat, whose
M-theory lift is AdS_3 X S^2. We wrap a spinning dipole M2-brane on the S^2 in
the probe approximation. In IIA, this corresponds to a dielectric D2-brane
carrying only D0-charge. We conjecture this is the first approximation to a
cloud of D0-branes blowing up due to their non-abelian degrees of freedom and
the Myers effect.Comment: 10 pages, 2 figure
Freund-Rubin Revisited
We utilise the duality between M theory and Type IIA string theory to show
the existence of Freund-Rubin compactifications of M theory on 7-manifolds with
singularities supporting chiral fermions. This leads to a concrete way to study
phenomenologically interesting quantum gravity vacua using a holographically
dual three dimensional field theory.Comment: reference adde
Integration over a space of non-parametrized arcs, and motivic analogues of the monodromy zeta function
Notions of integration of motivic type over the space of arcs factorized by the natural C*-action and over the space of nonparametrized arcs (branches) are developed. As an application, two motivic versions of the zeta function of the classical monodromy transformation of a germ of an analytic function on ℂd are given that correspond to these notions. Another key ingredient in the construction of these motivic versions of the zeta function is the use of the so-called power structure over the Grothendieck ring of varieties introduced by the authors
Distributions of flux vacua
We give results for the distribution and number of flux vacua of various
types, supersymmetric and nonsupersymmetric, in IIb string theory compactified
on Calabi-Yau manifolds. We compare this with related problems such as counting
attractor points.Comment: 43 pages, 7 figures. v2: improved discussion of finding vacua with
discrete flux, references adde
Exact solutions for supersymmetric stationary black hole composites
Four dimensional N=2 supergravity has regular, stationary, asymptotically
flat BPS solutions with intrinsic angular momentum, describing bound states of
separate extremal black holes with mutually nonlocal charges. Though the
existence and some properties of these solutions were established some time
ago, fully explicit analytic solutions were lacking thus far. In this note, we
fill this gap. We show in general that explicit solutions can be constructed
whenever an explicit formula is known in the theory at hand for the
Bekenstein-Hawking entropy of a single black hole as a function of its charges,
and illustrate this with some simple examples. We also give an example of
moduli-dependent black hole entropy.Comment: 13 pages, 1 figur
Constructive Wall-Crossing and Seiberg-Witten
We outline a comprehensive and first-principle solution to the wall-crossing
problem in D=4 N=2 Seiberg-Witten theories. We start with a brief review of the
multi-centered nature of the typical BPS states and recall how the
wall-crossing problem thus becomes really a bound state formation/dissociation
problem. Low energy dynamics for arbitrary collections of dyons is derived,
from Seiberg-Witten theory, with the proximity to the so-called marginal
stability wall playing the role of the small expansion parameter. We find that,
surprisingly, the low energy dynamics of n+1 BPS dyons cannot
be consistently reduced to the classical moduli space, \CM, yet the index can
be phrased in terms of \CM. We also explain how an equivariant version of
this index computes the protected spin character of the underlying field
theory, where SO(3)_\CJ isometry of \CM turns out to be the diagonal
subgroup of spatial rotation and R-symmetry. The so-called
rational invariants, previously seen in the Kontsevich-Soibelman formalism of
wall-crossing, are shown to emerge naturally from the orbifolding projection
due to Bose/Fermi statistics.Comment: 25 pages, conference proceeding contribution for "Progress of Quantum
Field Theory and String Theory," Osaka, April 201
Scanning the Landscape of Flux Compactifications: Vacuum Structure and Soft Supersymmetry Breaking
We scan the landscape of flux compactifications for the Calabi-Yau manifold
with two K\" ahler moduli by varying the value of
the flux superpotential over a large range of values. We do not include
uplift terms. We find a rich phase structure of AdS and dS vacua. Starting with
we reproduce the exponentially large volume scenario, but as
is reduced new classes of minima appear. One of them corresponds to the
supersymmetric KKLT vacuum while the other is a new, deeper non-supersymmetric
minimum. We study how the bare cosmological constant and the soft supersymmetry
breaking parameters for matter on D7 branes depend on , for these classes
of minima. We discuss potential applications of our results.Comment: draft format remove
Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
We review and extend recent attempts to find a precise relation between
extremal black hole entropy and degeneracy of microstates using AdS_2/CFT_1
correspondence. Our analysis leads to a specific relation between degeneracy of
black hole microstates and an appropriately defined partition function of
string theory on the near horizon geometry, -- named the quantum entropy
function. In the classical limit this reduces to the usual relation between
statistical entropy and Wald entropy.Comment: LaTeX file, 27 pages, A modified and extended version of the talk
given at Strings 200
Gaugino Condensation and Nonperturbative Superpotentials in Flux Compactifications
There are two known sources of nonperturbative superpotentials for K\"ahler
moduli in type IIB orientifolds, or F-theory compactifications on Calabi-Yau
fourfolds, with flux: Euclidean brane instantons and low-energy dynamics in D7
brane gauge theories. The first class of effects, Euclidean D3 branes which
lift in M-theory to M5 branes wrapping divisors of arithmetic genus 1 in the
fourfold, is relatively well understood. The second class has been less
explored. In this paper, we consider the explicit example of F-theory on with flux. The fluxes lift the D7 brane matter fields, and stabilize
stacks of D7 branes at loci of enhanced gauge symmetry. The resulting theories
exhibit gaugino condensation, and generate a nonperturbative superpotential for
K\"ahler moduli. We describe how the relevant geometries in general contain
cycles of arithmetic genus (and how divisors can
contribute to the superpotential, in the presence of flux). This second class
of effects is likely to be important in finding even larger classes of models
where the KKLT mechanism of moduli stabilization can be realized. We also
address various claims about the situation for IIB models with a single
K\"ahler modulus.Comment: 24 pages, harvmac, no figures, references adde
Type IIB Flux Vacua from M-theory via F-theory
We study in detail some aspects of duality between type IIB and M-theory. We
focus on the duality between type IIB string theory on K3 x T^2/Z_2 orientifold
and M-theory on K3 x K3, in the F-theory limit. We give the explicit map
between the fields and in particular between the moduli of compactification,
studying their behavior under the F-theory limit. Turning on fluxes generates a
potential for the moduli both in type IIB and in M-theory. We verify that the
type IIB analysis gives the same results of the F-theory analysis. In
particular, we check that the two potentials match.Comment: 24 pages; reference correcte
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