139 research outputs found
Charged Black Hole in a Canonical Ensemble
We consider the thermodynamics of a charged black hole enclosed in a cavity.
The charge in the cavity and the temperature at the walls are fixed so that we
have a canonical ensemble. We derive the phase structure and stability of black
hole equilibrium states. We compare our results to that of other work which
uses asymptotically anti-de Sitter boundary conditions to define the
thermodynamics. The thermodynamic properties have extensive similarities which
suggest that the idea of AdS holography is more dependent on the existence of
the boundary than on the exact details of asymptotically AdS metrics.Comment: 9 pages; 4 multipart figure
Selective Protein Labelling to Visualize Cellular Differentiation
Protein post-translational modifications serve to give proteins new cellular function, spatial localization, or enzymatic activity. Myristoylation is a common post-translational modification where the enzyme N-myristoyltransferase adds myristic acid onto the N-terminus of a variety of proteins. In this work we use a myristic acid analog, 12-azidododecanoic acid (12ADA) to facilitate the implementation of azide-alkyne cycloaddition reactions on myristoylated proteins. Selective protein labeling methods such as these are useful in research because they can be used to help determine the biological function of this protein lipid modification and can be extended to study disregulated protein myristoylation in disease states. To validate 12ADA incorporation onto proteins, C2C12 myoblast cell lysates were reacted with an alkyne functionalized fluorophore and analyzed via SDS-PAGE. In order to visualize 12ADA tagged proteins in vivo, fixed C2C12 cells were reacted with an alkyne functionalized fluorophore and were imaged with a fluorescent microscope. The results clearly indicate selective protein tagging in in vitro lysates and in vivo. There is a distinct difference in the patterning of 12ADA protein tagging between differentiated and non-differentiated cells. The purpose of this research is to develop a selective protein labeling method. In our research, this selective protein labeling method is used to studying cellular differentiation in the context of developmental biology. Currently, there is not a clear understanding of the proteins associated with cellular differentiation related to development. Understanding this can allow scientists to track development progress and understand unique proteins associated with differentiating cells
Stringy Effects During Inflation and Reheating
We consider inflationary cosmology in the context of string compactifications
with multiple throats. In scenarios where the warping differs significantly
between throats, string and Kaluza-Klein physics can generate potentially
observable corrections to the cosmology of inflation and reheating. First we
demonstrate that a very low string scale in the ground state compactification
is incompatible with a high Hubble scale during inflation, and we propose that
the compactification geometry is altered during inflation. In this
configuration, the lowest scale is just above the Hubble scale, which is
compatible with effective field theory but still leads to potentially
observable CMB corrections. Also in the appropriate region of parameter space,
we find that reheating leads to a phase of long open strings in the Standard
Model sector (before the usual radiation-dominated phase). We sketch the
cosmology of the long string phase and we discuss possible observational
consequences.Comment: 33pp, RevTeX4, v2. minor changes, added ref
Statistical Hair on Black Holes
The Bekenstein-Hawking entropy for certain BPS-saturated black holes in
string theory has recently been derived by counting internal black hole
microstates at weak coupling. We argue that the black hole microstate can be
measured by interference experiments even in the strong coupling region where
there is clearly an event horizon. Extracting information which is naively
behind the event horizon is possible due to the existence of statistical
quantum hair carried by the black hole. This quantum hair arises from the
arbitrarily large number of discrete gauge symmetries present in string theory.Comment: 11 pages, harvmac, minor addition
Topology, Quantum Gravity and Particle Physics
It is argued that quantum gravity has an interpretation as a topological
field theory provided a certain constraint from the path intergral measure is
respected. The constraint forces us to couple gauge and matter fields to
gravity for space - time dimensions different from 3. We then discuss possible
models which may be relevant to our universe.Comment: 18 pages, LaTeX. Replaced version corrects typos and has additional
reference
Supersymmetry and Positive Energy in Classical and Quantum Two-Dimensional Dilaton Gravity
An supersymmetric version of two dimensional dilaton gravity coupled
to matter is considered. It is shown that the linear dilaton vacuum
spontaneously breaks half the supersymmetries, leaving broken a linear
combination of left and right supersymmetries which squares to time
translations. Supersymmetry suggests a spinorial expression for the ADM energy
, as found by Witten in four-dimensional general relativity. Using this
expression it is proven that is non-negative for smooth initial data
asymptotic (in both directions) to the linear dilaton vacuum, provided that the
(not necessarily supersymmetric) matter stress tensor obeys the dominant energy
condition. A {\it quantum} positive energy theorem is also proven for the
semiclassical large- equations, despite the indefiniteness of the quantum
stress tensor. For black hole spacetimes, it is shown that is bounded from
below by , where is the value of the dilaton at the
apparent horizon, provided only that the stress tensor is positive outside the
apparent horizon. This is the two-dimensional analogue of an unproven
conjecture due to Penrose. Finally, supersymmetry is used to prove positive
energy theorems for a large class of generalizations of dilaton gravity which
arise in consideration of the quantum theory.Comment: 21 page
The Matrix Theory S-Matrix
The technology required for eikonal scattering amplitude calculations in
Matrix theory is developed. Using the entire supersymmetric completion of the
v^4/r^7 Matrix theory potential we compute the graviton-graviton scattering
amplitude and find agreement with eleven dimensional supergravity at tree
level.Comment: 10 pages, RevTeX, no figure
Reducing - duality to - duality
The infrared limit of Yang-Mills theory with compact gauge group
compactified on a two-torus is governed by an effective superconformal
field theory. We conjecture that this is a certain orbifold involving the
maximal torus of . Yang-Mills -duality makes predictions for all
correlators of this effective conformal field theory. These predictions are
shown to be implied by the standard -duality of the conformal field theory.
Consequently, Montonen-Olive duality between electric and magnetic states
reduces to the standard two-dimensional duality between momentum and winding
states.Comment: 13 pages, harvmac, no figures. (Some Comments added. Some references
added.
Four Dimensional Black Holes in String Theory
Exact solutions of heterotic string theory corresponding to four-dimensional
charge Q magnetic black holes are constructed as tensor products of an
SU(2)/Z(2Q+2) WZW orbifold with a (0,1) supersymmetric SU(1,1)/U(1) WZW coset
model. The spectrum is analyzed in some detail. ``Bad'' marginal operators are
found which are argued to deform these theories to asymptotically flat black
holes. Surprising behaviour is found for small values of Q, where low-energy
field theory is inapplicable. At the minimal value Q=1, the theory degenerates.
Renormalization group arguments are given that suggest the potential
gravitational singularity of the low-energy field theory is resolved by a
massive two-dimensional field theory. At Q=0, a stable, neutral ``remnant,'' of
potential relevance to the black hole information paradox, is found.Comment: 37 pages + 1 figure (tar compressed and uuencoded
N=3 Warped Compactifications
Orientifolds with three-form flux provide some of the simplest string
examples of warped compactification. In this paper we show that some models of
this type have the unusual feature of D=4, N=3 spacetime supersymmetry. We
discuss their construction and low energy physics. Although the local form of
the moduli space is fully determined by supersymmetry, to find its global form
requires a careful study of the BPS spectrum.Comment: 27 pages, v2: 32pp., RevTeX4, fixed factors, slightly improved
sections 3D and 4B, v3: added referenc
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