82 research outputs found
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
The Shapes of Dirichlet Defects
If the vacuum manifold of a field theory has the appropriate topological
structure, the theory admits topological structures analogous to the D-branes
of string theory, in which defects of one dimension terminate on other defects
of higher dimension. The shapes of such defects are analyzed numerically, with
special attention paid to the intersection regions. Walls (co-dimension 1
branes) terminating on other walls, global strings (co-dimension 2 branes) and
local strings (including gauge fields) terminating on walls are all considered.
Connections to supersymmetric field theories, string theory and condensed
matter systems are pointed out.Comment: 24 pages, RevTeX, 21 eps figure
Light-bending in Schwarzschild-de-Sitter: projective geometry of the optical metric
We interpret the well known fact that the equations for light rays in the
Kottler or Schwarzschild-de Sitter metric are independent of the cosmological
constant in terms of the projective equivalence of the optical metric for any
value of \Lambda. We explain why this does not imply that lensing phenomena are
independent of \Lambda. Motivated by this example, we find a large collection
of one-parameter families of projectively equivalent metrics including both the
Kottler optical geometry and the constant curvature metrics as special cases.
Using standard constructions for geodesically equivalent metrics we find
classical and quantum conserved quantities and relate these to known
quantities.Comment: 8 page
Remarks on 't Hooft's Brick Wall Model
A semi-classical reasoning leads to the non-commutativity of the space and
time coordinates near the horizon of Schwarzschild black hole. This
non-commutativity in turn provides a mechanism to interpret the brick wall
thickness hypothesis in 't Hooft's brick wall model as well as the boundary
condition imposed for the field considered. For concreteness, we consider a
noncommutative scalar field model near the horizon and derive the effective
metric via the equation of motion of noncommutative scalar field. This metric
displays a new horizon in addition to the original one associated with the
Schwarzschild black hole. The infinite red-shifting of the scalar field on the
new horizon determines the range of the noncommutativ space and explains the
relevant boundary condition for the field. This range enables us to calculate
the entropy of black hole as proportional to the area of its original horizon
along the same line as in 't Hooft's model, and the thickness of the brick wall
is found to be proportional to the thermal average of the noncommutative
space-time range. The Hawking temperature has been derived in this formalism.
The study here represents an attempt to reveal some physics beyond the brick
wall model.Comment: RevTeX, 5 pages, no figure
Bounds on masses of bulk fields in string compactifications
In string compactification on a manifold X, in addition to the string scale
and the normal scales of low-energy particle physics, there is a Kaluza-Klein
scale 1/R associated with the size of X. We present an argument that generic
string models with low-energy supersymmetry have, after moduli stabilization,
bulk fields with masses which are parametrically lighter than 1/R. We discuss
the implications of these light states for anomaly mediation and gaugino
mediation scenarios.Comment: 15 page
Brane Decay and Death of Open Strings
We show how open strings cease to propagate when unstable D-branes decay. The
information on the propagation is encoded in BSFT two-point functions for
arbitrary profiles of open string excitations. We evaluate them in tachyon
condensation backgrounds corresponding to (i) static spatial tachyon kink (=
lower dimensional BPS D-brane) and (ii) homogeneous rolling tachyon. For (i)
the propagation is restricted to the directions along the tachyon kink, while
for (ii) all the open string excitations cease to propagate at late time and
are subject to a collapsed light cone characterized by Carrollian contraction
of Lorentz group.Comment: 19 pages, published version (typos corrected, a reference added
Tachyon Kinks on Unstable Dp-branes
In the context of tachyon effective theory coupled to Born-Infeld
electromagnetic fields, we obtain all possible singularity-free static flat
configurations of codimension one on unstable Dp-branes. Computed tension and
string charge density suggest that the obtained kinks are D(p-1) or
D(p-1)F1-branes.Comment: 22pages, LaTeX2e, 7figure
Geometric entropy, area, and strong subadditivity
The trace over the degrees of freedom located in a subset of the space
transforms the vacuum state into a density matrix with non zero entropy. This
geometric entropy is believed to be deeply related to the entropy of black
holes. Indeed, previous calculations in the context of quantum field theory,
where the result is actually ultraviolet divergent, have shown that the
geometric entropy is proportional to the area for a very special type of
subsets. In this work we show that the area law follows in general from simple
considerations based on quantum mechanics and relativity. An essential
ingredient of our approach is the strong subadditive property of the quantum
mechanical entropy.Comment: Published versio
Kinetic models of heterogeneous dissipation
We suggest kinetic models of dissipation for an ensemble of interacting
oriented particles, for example, moving magnetized particles. This is achieved
by introducing a double bracket dissipation in kinetic equations using an
oriented Poisson bracket, and employing the moment method to derive continuum
equations for magnetization and density evolution. We show how our continuum
equations generalize the Debye-Hueckel equations for attracting round
particles, and Landau-Lifshitz-Gilbert equations for spin waves in magnetized
media. We also show formation of singular solutions that are clumps of aligned
particles (orientons) starting from random initial conditions. Finally, we
extend our theory to the dissipative motion of self-interacting curves.Comment: 28 pages, 2 figures. Submitted to J. Phys.
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