5,653 research outputs found

### Fermion Mass Hierarchy from the Soft Wall

We develop a 5d model for ElectroWeak physics based on a non compact warped
extra dimension of finite length, known as the soft wall scenario, where all
the dynamical degrees of freedom propagate in the 5d bulk. We solve the
equations of motion and find the allowed spectra, showing that the mass of the
lightest fermionic mode behaves as a power law of the effective 4d Yukawa
coupling constant, with the exponent being the corresponding fermionic 5d bulk
mass. Precisely this non universal behavior allows us to reproduce the
hierarchy between the Standard Model (SM) fermion masses (from neutrinos to the
top quark) with non-hierarchical fermionic bulk masses.Comment: 26 pages, 4 figures, minor changes, one figured added, version to be
publish in PR

### 1+1-dimensional p-wave superconductors from intersecting D-branes

In this work we explore 1+1 dimensional p-wave superconductors using the
probe D-brane construction. Specifically, we choose three intersecting D-brane
models: D1/D5, D2/D4 and D3/D3 systems. According to the dilaton running
behavior, we denote the former two systems as nonconformal models and the last
system as conformal. We find that all three models are qualitatively similar in
describing superconducting condensate as well as some basic features (such as
the gap formation and DC superconductivity) of superconducting conductivity.
There also exist some differences among the three models as far as the AC
conductivity is concerned. Specifically, for D3/D3 model there is no peak at
nonzero frequency for the imaginary part of the conductivity, which is present
in the nonconformal models; their asymptotic behaviors are different-for D1/D5
the real part of the AC conductivity approaches one at large frequency limit,
for D2/D4 it slowly goes to a certain nonzero constant smaller than one and for
D3/D3 it goes to zero. We find the profile of the AC conductivity for the D1/D5
system is very similar to that of higher dimensional p-wave superconductors.Comment: v2: matched with the published versio

### Resolved Conifolds in Supergravity Solutions

We construct generalized 11D supergravity solutions of fully localized
intersecting D2/D4 brane systems. These solutions are obtained by embedding
six-dimensional resolved Eguchi-Hanson conifolds lifted to M-theory. We reduce
these solutions to ten dimensions, obtaining new D-brane systems in type IIA
supergravity. We discuss the limits in which the dynamics of the D2 brane
decouples from the bulk for these solutions.Comment: 9 pages, 2 figures, minor changes, references added, version to
appear in Phys. Rev.

### The static potential in {\cal N}=4 supersymmetric Yang-Mills at weak coupling

We compute the static potential associated to the locally 1/2 BPS Wilson loop
in ${\cal N}$=4 supersymmetric Yang-Mills theory with ${\cal O}(\lambda^2/r)$
accuracy. We also resum the leading logarithms, of ${\cal
O}(\lambda^{n+1}\ln^n\lambda/r)$, and show the structure of the renormalization
group equation at next-to-leading order in the multipole expansion. In order to
obtain these results it is crucial the use of an effective theory for the
ultrasoft degrees of freedom. We develop this theory up to next-to-leading
order in the multipole expansion. Using the same formalism we also compute the
leading logarithms, of ${\cal O}(\lambda^{n+3}\ln^n\lambda/r)$, of the static
potential associated to an ordinary Wilson loop in the same theory.Comment: 6 pages, 1 figure. Two references added, misprints corrected.
Computation of the static potential associated to the ordinary static Wilson
loop incorporate

### On the quantization of the N=2 supersymmetric non linear sigma model

A method for quantizing the bidimensional N=2 supersymmetric non-linear sigma
model is developed. This method is both covariant under coordinate
transformations (concerning the order relevant for calculations) and explicitly
N=2 supersymmetric. The OPE of the supercurrent is computed accordingly,
including also the dilaton. By imposing the N=2 superconformal algebra the
equations for the metric and dilaton are obtained. In particular, they imply
that the dilaton is a constant.Comment: 16 page

### Violation of the holographic bulk viscosity bound

Motivated by gauge theory/string theory correspondence, a lower bound on the
bulk viscosity of strongly coupled gauge theory plasma was proposed in
arXiv:0708.3459. We consider strongly coupled N=4 supersymmetric Yang-Mills
plasma compactified on a two-manifold of constant curvature beta. We show that
the effective (1+1)-dimensional hydrodynamic description of the system is
governed by the bulk viscosity violating the bound of arXiv:0708.3459, once
beta<0.Comment: 17 pages, 3 figure

### Factorization and Discrete States in C=1 Superliouville Theory

We study the discrete state structure of $\hat c=1$ superconformal matter
coupled to 2-D supergravity. Factorization properties of scattering amplitudes
are used to identify these states and to construct the corresponding vertex
operators. For both Neveu-Schwarz and Ramond sectors these states are shown to
be organized in
SU(2) multiplets. The algebra generated by the discrete states is computed in
the limit of null cosmological constant.Comment: 23 pages, revtex, CNEA-CAB-92-036 and UPRF-92-35

### Universal properties of the U(1) current at deconfined quantum critical points: comparison with predictions from gauge/gravity duality

The deconfined quantum critical point of a two-dimensional SU(N)
antiferromagnet is governed by an Abelian Higgs model in $d=2+1$ spacetime
dimensions featuring $N$ complex scalar fields. In this context, we derive for
$2\leq d\leq 4$ an exact formula for the central charge of the U(1) current in
terms of the gauge coupling at quantum criticality and compare it with the
corresponding result obtained using gauge-gravity duality. There is a
remarkable similarity precisely for $d=2+1$. In this case the amplitude of the
current correlation function has the same form as predicted by the
gauge-gravity duality. We also compare finite temperature results for the
charge susceptibility in the large $N$ limit with the result predicted by the
gauge-gravity duality. Our results suggest that condensed matter systems at
quantum criticality may provide interesting quantitative tests of the
gauge-gravity duality even in absence of supersymmetry.Comment: 4.5 pages, 1 figure; v2: accepted in PRD, text restructured to make
presentation/discussion clearer, references adde

### Unitarity issue in BTZ black holes

We study the wave equation for a massive scalar in three-dimensional
AdS-black hole spacetimes to understand the unitarity issues in a semiclassical
way. Here we introduce four interesting spacetimes: the non-rotating BTZ black
hole (NBTZ), pure AdS spacetime (PADS), massless BTZ black hole (MBTZ), and
extremal BTZ black hole (EBTZ). Our method is based on the potential analysis
and solving the wave equation to find the condition for the frequency $\omega$
exactly. In the NBTZ case, one finds the quasinormal (complex and discrete)
modes which signals for a non-unitary evolution. Real and discrete modes are
found for the PADS case, which means that it is unitary obviously. On the other
hand, we find real and continuous modes for the two extremal black holes of
MBTZ and EBTZ. It suggests that these could be candidates for the unitary
system.Comment: 14 pages, contracted version to appear in MPL

### The Backreacted K\"ahler Geometry of Wrapped Branes

For supersymmetric solutions of D3(M2) branes with AdS3(AdS2) factor, it is
known that the internal space is expressible as U(1) fibration over K\"ahler
space which satisfies a specific partial differential equation involving the
Ricci tensor. In this paper we study the wrapped brane solutions of D3 and
M2-branes which were originally constructed using gauged supergravity and
uplifted to D=10 and D=11. We rewrite the solutions in canonical form, identify
the backreacted K\"ahler geometry, and present a class of solutions which
satisfy the Killing spinor equation.Comment: v2: 13 pages, refs adde

- …