131 research outputs found
On the perturbative corrections around D-string instantons
We study -threshold corrections in an eight dimensional S-dual
pair of string theories, as a prototype of dual string vacua with sixteen
supercharges. We show that the orbifold CFT description of D-string instantons
gives rise to a perturbative expansion similar to the one appearing on the
fundamental string side. By an explicit calculation, using the Nambu-Goto
action in the static gauge, we show that the first subleading term agrees
precisely on the two sides. We then give a general argument to show that the
agreement extends to all orders.Comment: 12 page
AdS/CFT correspondence and D1/D5 systems in theories with 16 supercharges
We discuss spectra of supergravities, arising in the near horizon
geometry of D1/D5 systems in orbifolds/orientifolds of type IIB theory with 16
supercharges. These include models studied in a recent paper (hep-th/0012118),
where the group action involves also a shift along a transversal circle, as
well as IIB/, which is dual to IIB on . After appropriate
assignements of the orbifold group eigenvalues and degrees to the supergravity
single particle spectrum, we compute the supergravity elliptic genus and find
agreement, in the expected regime of validity, with the elliptic genus obtained
using U-duality map from (4,4) CFTs of U-dual backgrounds. Since this U-duality
involves the exchange of KK momentum and D1 charge , it allows us to
test the (4,4) CFTs in the and regimes by two different
supergravity duals.Comment: 28 pages, no figure
Closed Bosonic String Partition Function in Time Independent Exact PP-Wave Background
The modular invariance of the one-loop partition function of the closed
bosonic string in four dimensions in the presence of certain homogeneous exact
pp-wave backgrounds is studied. In the absence of an axion field the partition
function is found to be modular invariant. In the presence of an axion field
modular invariace is broken. This can be attributed to the light-cone gauge
which breaks the symmetry in the -, -directions. Recovery of this
broken modular invariance suggests the introduction of twists in the
world-sheet directions. However, one needs to go beyond the light-cone gauge to
introduce such twists.Comment: 17 pages, added reference
Rare event sampling with stochastic growth algorithms
We discuss uniform sampling algorithms that are based on stochastic growth
methods, using sampling of extreme configurations of polymers in simple lattice
models as a motivation. We shall show how a series of clever enhancements to a
fifty-odd year old algorithm, the Rosenbluth method, led to a cutting-edge
algorithm capable of uniform sampling of equilibrium statistical mechanical
systems of polymers in situations where competing algorithms failed to perform
well. Examples range from collapsed homo-polymers near sticky surfaces to
models of protein folding.Comment: First International Conference on Numerical Physic
Pseudarthrose de l’extrémité inférieure du fémur traitée par mégaprothèse: à propos d’un cas et revue de la littérature
Les pseudarthroses de l'extrémité distale du fémur sont relativement rares du fait de la qualité de la vascularisation de cette région. La prise en charge d'une telle complication pose un certain nombre de difficultés. Le traitement chirurgical fait appel à plusieurs techniques conservatrices, le traitement par prothèse peut s'avérer utile quand la perte de substance est importante chez le sujet âgé. L'objectif de ce travail est de discuter l'intérêt de la mégaprothèse du genou dans le traitement de la pseudarthrose de l'extrémité distale du fémur, à travers l'étude de l'observation d'une patiente et revue de la littérature. Il s'agit d'une patiente âgée de 62 ans qui présente une pseudarthrose de l'extrémité distale du fémur gauche. Sur le plan clinique la patiente présente des douleurs du genou gauche, avec gène fonctionnelle importante. Le score de l'IKS préopératoire était de 60. Elle a bénéficié d'un remplacement prothétique par une mégaprothèse du genou. En postopératoire la flexion du genou était à 90°, le score de l'IKS était de 130. A travers l'étude de cette observation, et la revue de la littérature, nous pensons que l'utilisation de mégaprothèse du genou, constitue une solution efficace et durable pour le traitement des pseudarthroses du fémur distal et particulièrement chez le sujet âgé. Cette technique permet de répondre aux impératifs d'un tel aléa de la consolidation: lutter contre la douleur et garantir une mobilité satisfaisante permettant de répondre aux besoins de la vie quotidienne du patient et ainsi améliorer sa qualité de vie.Key words: Pseudarthrose, mégaprothèse, fémur, geno
The Fuzzy Sphere: From The Uncertainty Relation To The Stereographic Projection
On the fuzzy sphere, no state saturates simultaneously all the Heisenberg
uncertainties. We propose a weaker uncertainty for which this holds. The family
of states so obtained is physically motivated because it encodes information
about positions in this fuzzy context. In particular, these states realize in a
natural way a deformation of the stereographic projection. Surprisingly, in the
large limit, they reproduce some properties of the ordinary coherent states
on the non commutative plane.Comment: 18 pages, Latex. Minor changes in notations. Version to appear in
JHE
Properties of branes in curved spacetimes
A generic property of curved manifolds is the existence of focal points. We
show that branes located at focal points of the geometry satisfy special
properties. Examples of backgrounds to which our discussion applies are AdS_m x
S^n and plane wave backgrounds. As an example, we show that a pair of AdS_2
branes located at the north and south pole of the S^5 in AdS_5 x S^5 are half
supersymmetric and that they are dual to a two-monopole solution of N=4 SU(N)
SYM theory. Our second example involves spacelike branes in the (Lorentzian)
plane wave. We develop a modified lightcone gauge for the open string channel,
analyze in detail the cylinder diagram and establish open-closed duality. When
the branes are located at focal points of the geometry the amplitude acquires
most of the characteristics of flat space amplitudes. In the open string
channel the special properties are due to stringy modes that become massless.Comment: 41 pages; v2:typos corrected, ref adde
Slow dynamics of the contact process on complex networks
The Contact Process has been studied on complex networks exhibiting different
kinds of quenched disorder. Numerical evidence is found for Griffiths phases and other
rare region effects, in Erd˝os Rényi networks, leading rather generically to anomalously
slow (algebraic, logarithmic,...) relaxation. More surprisingly, it turns out that Griffiths
phases can also emerge in the absence of quenched disorder, as a consequence of sole
topological heterogeneity in networks with finite topological dimension. In case of scalefree
networks, exhibiting infinite topological dimension, slow dynamics can be observed
on tree-like structures and a superimposed weight pattern. In the infinite size limit the
correlated subspaces of vertices seem to cause a smeared phase transition. These results
have a broad spectrum of implications for propagation phenomena and other dynamical
process on networks and are relevant for the analysis of both models and empirical data
Boundary States for D-branes with Traveling Waves
We construct boundary states for D-branes which carry traveling waves in the
covariant formalism. We compute their vacuum amplitudes to investigate their
interactions. In non-compact space, the vacuum amplitudes become trivial as is
common in plane wave geometries. However, we found that if they are
compactified in the traveling direction, then the amplitudes are affected by
non-trivial time dependent effects. The interaction between D-branes with waves
traveling in the opposite directions (`pulse-antipulse scattering') are also
computed. Furthermore, we apply these ideas to open string tachyon condensation
with traveling waves.Comment: 30 pages. 1 figure, Latex, minor corrections, references adde
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