13 research outputs found
Critical Behavior of the Supersolid transition in Bose-Hubbard Models
We study the phase transitions of interacting bosons at zero temperature
between superfluid (SF) and supersolid (SS) states. The latter are
characterized by simultaneous off-diagonal long-range order and broken
translational symmetry. The critical phenomena is described by a
long-wavelength effective action, derived on symmetry grounds and verified by
explicit calculation. We consider two types of supersolid ordering:
checkerboard (X) and collinear (C), which are the simplest cases arising in two
dimensions on a square lattice. We find that the SF--CSS transition is in the
three-dimensional XY universality class. The SF--XSS transition exhibits
non-trivial new critical behavior, and appears, within a
expansion to be driven generically first order by fluctuations. However, within
a one--loop calculation directly in a strong coupling fixed point with
striking ``non-Bose liquid'' behavior is found. At special isolated
multi-critical points of particle-hole symmetry, the system falls into the 3d
Ising universality class.Comment: RevTeX, 24 pages, 16 figures. Also available at
http://www.cip.physik.tu-muenchen.de/tumphy/d/T34/Mitarbeiter/frey.htm
Isometric Embedding of BPS Branes in Flat Spaces with Two Times
We show how non-near horizon p-brane theories can be obtained from two
embedding constraints in a flat higher dimensional space with 2 time
directions. In particular this includes the construction of D3 branes from a
flat 12-dimensional action, and M2 and M5 branes from 13 dimensions. The
worldvolume actions are determined by constant forms in the higher dimension,
reduced to the usual expressions by Lagrange multipliers. The formulation
affords insight in the global aspects of the spacetime geometries and makes
contact with recent work on two-time physics.Comment: 29 pages, 10 figures, Latex using epsf.sty and here.sty; v2:
reference added and some small correction
Collisions with Black Holes and Deconfined Plasmas
We use AdS/CFT to investigate i) high energy collisions with balls of
deconfined plasma surrounded by a confining phase and ii) the rapid localized
heating of a deconfined plasma. Both of these processes are dual to collisions
with black holes, where they result in the nucleation of a new "arm" of the
horizon reaching out in the direction of the incident object. We study the
resulting non-equilibrium dynamics in a universal limit of the gravitational
physics which may indicate universal behavior of deconfined plasmas at large
N_c. Process (i) produces "virtual" arms of the plasma ball, while process (ii)
can nucleate surprisingly large bubbles of a higher temperature phase.Comment: 25 pages, 9 figure
RS1, Custodial Isospin and Precision Tests
We study precision electroweak constraints within a RS1 model with gauge
fields and fermions in the bulk. The electroweak gauge symmetry is enhanced to
SU(2)_L \times SU(2)_R \times U(1)_{B-L}, thereby providing a custodial isospin
symmetry sufficient to suppress excessive contributions to the T parameter. We
then construct complete models, complying with all electroweak constraints, for
solving the hierarchy problem, without supersymmetry or large hierarchies in
the fundamental couplings. Using the AdS/CFT correspondence our models can be
interpreted as dual to a strongly coupled conformal Higgs sector with global
custodial symmetry, gauge and fermionic matter being fundamental fields
external to the CFT. This scenario has interesting collider signals, distinct
from other RS models in the literature.Comment: 32 pages, 6 figures, latex2e, minor changes, references adde
On Smooth Time-Dependent Orbifolds and Null Singularities
We study string theory on a non-singular time-dependent orbifold of flat
space, known as the `null-brane'. The orbifold group, which involves only
space-like identifications, is obtained by a combined action of a null Lorentz
transformation and a constant shift in an extra direction. In the limit where
the shift goes to zero, the geometry of this orbifold reproduces an orbifold
with a light-like singularity, which was recently studied by Liu, Moore and
Seiberg (hep-th/0204168). We find that the backreaction on the geometry due to
a test particle can be made arbitrarily small, and that there are scattering
processes which can be studied in the approximation of a constant background.
We quantize strings on this orbifold and calculate the torus partition
function. We construct a basis of states on the smooth orbifold whose tree
level string interactions are nonsingular. We discuss the existence of physical
modes in the singular orbifold which resolve the singularity. We also describe
another way of making the singular orbifold smooth which involves a sandwich
pp-wave.Comment: 24 pages, one figur
Cosmological Spacetimes from Negative Tension Brane Backgrounds
We identify a time-dependent class of metrics with potential applications to
cosmology, which emerge from negative-tension branes. The cosmology is based on
a general class of solutions to Einstein-dilaton-Maxwell theory, presented in
{hep-th/0106120}. We argue that solutions with hyperbolic or planar symmetry
describe the gravitational interactions of a pair of negative-tension
-branes. These spacetimes are static near each brane, but become
time-dependent and expanding at late epoch -- in some cases asymptotically
approaching flat space. We interpret this expansion as being the spacetime's
response to the branes' presence. The time-dependent regions provide explicit
examples of cosmological spacetimes with past horizons and no past naked
singularities. The past horizons can be interpreted as S-branes. We prove that
the singularities in the static regions are repulsive to time-like geodesics,
extract a cosmological `bounce' interpretation, compute the explicit charge and
tension of the branes, analyse the classical stability of the solution (in
particular of the horizons) and study particle production, deriving a general
expression for Hawking's temperature as well as the associated entropy.Comment: 43 pages, 8 figures. Published versio