5,602 research outputs found
Scalar Field Probes of Power-Law Space-Time Singularities
We analyse the effective potential of the scalar wave equation near generic
space-time singularities of power-law type (Szekeres-Iyer metrics) and show
that the effective potential exhibits a universal and scale invariant leading
x^{-2} inverse square behaviour in the ``tortoise coordinate'' x provided that
the metrics satisfy the strict Dominant Energy Condition (DEC). This result
parallels that obtained in hep-th/0403252 for probes consisting of families of
massless particles (null geodesic deviation, a.k.a. the Penrose Limit). The
detailed properties of the scalar wave operator depend sensitively on the
numerical coefficient of the x^{-2}-term, and as one application we show that
timelike singularities satisfying the DEC are quantum mechanically singular in
the sense of the Horowitz-Marolf (essential self-adjointness) criterion. We
also comment on some related issues like the near-singularity behaviour of the
scalar fields permitted by the Friedrichs extension.Comment: v2: 21 pages, JHEP3.cls, one reference adde
Goedel, Penrose, anti-Mach: extra supersymmetries of time-dependent plane waves
We prove that M-theory plane waves with extra supersymmetries are necessarily
homogeneous (but possibly time-dependent), and we show by explicit construction
that such time-dependent plane waves can admit extra supersymmetries. To that
end we study the Penrose limits of Goedel-like metrics, show that the Penrose
limit of the M-theory Goedel metric (with 20 supercharges) is generically a
time-dependent homogeneous plane wave of the anti-Mach type, and display the
four extra Killings spinors in that case. We conclude with some general remarks
on the Killing spinor equations for homogeneous plane waves.Comment: 20 pages, LaTeX2
Performance Studies for Strange Hadron Flow Measurements in CBM at FAIR
Measurements of the directed and elliptic flow of strange and multi-strange hadrons are an important part of the physics program of the Compressed Baryonic Matter experiment (CBM) at the future accelerator complex FAIR in Darmstadt, Germany. We present recent results from the CBM performance studies for measurements of the directed
On Penrose limit of elliptic branes
We discuss a Penrose limit of an elliptic brane configuration with NS5
and D4 branes. This background is T-dual to D3 branes at a fixed
point of a singularity and the T-duality
survives the Penrose limit. The triple scaling limit of and gives
rise to IIA pp-wave solution with a space-like compact direction. We identify
the quiver gauge theory operators and argue that upon exchange of the momentum
along the compact direction and the winding number these operators coincide
with the operators derived in the dual type IIB description. We also find a new
Penrose limit of the type IIB background and the corresponding limit in the
type IIA picture. In the coordinate system we use there are two manifest
space-like isometries. The quiver gauge theory operator duals of the string
states are built of three bosonic fields.Comment: 25 pages with 1 figur
Topological Aspects of Gauge Fixing Yang-Mills Theory on S4
For an space-time manifold global aspects of gauge-fixing are
investigated using the relation to Topological Quantum Field Theory on the
gauge group. The partition function of this TQFT is shown to compute the
regularized Euler character of a suitably defined space of gauge
transformations. Topological properties of the space of solutions to a
covariant gauge conditon on the orbit of a particular instanton are found using
the isometry group of the base manifold. We obtain that the Euler
character of this space differs from that of an orbit in the topologically
trivial sector. This result implies that an orbit with Pontryagin number
\k=\pm1 in covariant gauges on contributes to physical correlation
functions with a different multiplicity factor due to the Gribov copies, than
an orbit in the trivial \k=0 sector. Similar topological arguments show that
there is no contribution from the topologically trivial sector to physical
correlation functions in gauges defined by a nondegenerate background
connection. We discuss possible physical implications of the global gauge
dependence of Yang-Mills theory.Comment: 13 pages, uuencoded and compressed LaTeX file, no figure
Domain Bubbles of Extra Dimensions
``Dimension bubbles'' of the type previously studied by Blau and Guendelman
[S.K. Blau and E.I. Guendelman, Phys. Rev. D40, 1909 (1989)], which effectively
enclose a region of 5d spacetime and are surrounded by a region of 4d
spacetime, can arise in a 5d theory with a compact extra dimension that is
dimensionally reduced to give an effective 4d theory. These bubbles with thin
domain walls can be stabilized against total collapse in a rather natural way
by a scalar field which, as in the case with ``ordinary'' nontopological
solitons, traps light scalar particles inside the bubble.Comment: 13 pages, no figures; to appear in Phys.Rev.
Semiclassical quantization of rotating superstring in AdS_5 x S^5
Motivated by recent proposals in hep-th/0202021 and hep-th/0204051 we develop
semiclassical quantization of superstring in . We start with a
classical solution describing string rotating in and boosted along
large circle of . The energy of the classical solution is a function
of the spin and the momentum (R-charge) which interpolates between the
limiting cases S=0 and J=0 considered previously. We derive the corresponding
quadratic fluctuation action for bosonic and fermionic fields from the GS
string action and compute the string 1-loop (large \lambda= {R^4\over \a'^2})
correction to the classical energy spectrum in the sector. We find that
the 1-loop correction to the ground-state energy does not cancel for non-zero
. For large it scales as , i.e. as the classical term, with no
higher powers of appearing. This supports the conjecture made in
hep-th/0204051 that the classical scaling can be interpolated
to weak coupling to reproduce the corresponding operator anomalous dimension
behaviour in gauge theory.Comment: harvmac, 35p. v2,3: minor corrections; v4: added remarks about
higher-loop corrections in section 4 and an argument suggesting the absence
of higher than log S corrections to the energy to all orders in string
tension in section 6.1; v5: factor 1/2 misprints corrected in eqs. (6.6) and
(6.8) and thus in (6.5) and (6.9
N=(4,4) Type IIA String Theory on PP-Wave Background
We construct IIA GS superstring action on the ten-dimensional pp-wave
background, which arises as the compactification of eleven-dimensional pp-wave
geometry along the isometry direction. The background geometry has 24 Killing
spinors and among them, 16 components correspond to the non-linearly realized
kinematical supersymmetry in the string action. The remaining eight components
are linearly realized and shown to be independent of x^+ coordinate, which is
identified with the world-sheet time coordinate of the string action in the
light-cone gauge. The resultant dynamical N=(4,4) supersymmetry is
investigated, which is shown to be consistent with the field contents of the
action containing two free massive supermultiplets.Comment: latex, 15 pages; v2: typos corrected, polished, references adde
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