287 research outputs found

### Canonical treatment of two dimensional gravity as an anomalous gauge theory

The extended phase space method of Batalin, Fradkin and Vilkovisky is applied
to formulate two dimensional gravity in a general class of gauges. A BRST
formulation of the light-cone gauge is presented to reveal the relationship
between the BRST symmetry and the origin of $SL(2,R)$ current algebra. From the
same principle we derive the conformal gauge action suggested by David, Distler
and Kawai.Comment: 11 pages, KANAZAWA-92-1

### Software.ncrna.org: web servers for analyses of RNA sequences

We present web servers for analysis of non-coding RNA sequences on the basis of their secondary structures. Software tools for structural multiple sequence alignments, structural pairwise sequence alignments and structural motif findings are available from the integrated web server and the individual stand-alone web servers. The servers are located at http://software.ncrna.org, along with the information for the evaluation and downloading. This website is freely available to all users and there is no login requirement

### Intermittency of Height Fluctuations and Velocity Increment of The Kardar-Parisi-Zhang and Burgers Equations with infinitesimal surface tension and Viscosity in 1+1 Dimensions

The Kardar-Parisi-Zhang (KPZ) equation with infinitesimal surface tension,
dynamically develops sharply connected valley structures within which the
height derivative is not continuous. We discuss the intermittency issue in the
problem of stationary state forced KPZ equation in 1+1--dimensions. It is
proved that the moments of height increments $C_a =$ behave as $|x_1 -x_2|^{\xi_a}$ with $\xi_a = a$ for length scales $|x_1-x_2|
<< \sigma$. The length scale $\sigma$ is the characteristic length of the
forcing term. We have checked the analytical results by direct numerical
simulation.Comment: 13 pages, 9 figure

### New insight into BRST anomalies in superstring theory

Based on the extended BRST formalism of Batalin, Fradkin and Vilkovisky, we
perform a general algebraic analysis of the BRST anomalies in superstring
theory of Neveu-Schwarz-Ramond. Consistency conditions on the BRST anomalies
are completely solved. The genuine super-Virasoro anomaly is identified with
the essentially unique solution to the consistency condition without any
reference to a particular gauge for the 2D supergravity fields. In a
configuration space where metric and gravitino fields are properly constructed,
general form of the super-Weyl anomaly is obtained from the super-Virasoro
anomaly as its descendant.
We give a novel local action of super-Liouville type, which plays a role of
Wess-Zumino-Witten term shifting the super-Virasoro anomaly into the super-Weyl
anomaly. These results reveal a hierarchial relationship in the BRST anoamlies.Comment: 29 pages, PHYZZ

### Gauge Equivalence in Two--Dimensional Gravity

Two-dimensional quantum gravity is identified as a second-class system which
we convert into a first-class system via the Batalin-Fradkin (BF) procedure.
Using the extended phase space method, we then formulate the theory in most
general class of gauges. The conformal gauge action suggested by David, Distler
and Kawai is derived from a first principle. We find a local, light-cone gauge
action whose Becchi-Rouet-Stora-Tyutin invariance implies Polyakov's curvature
equation $\partial_{-}R=\partial_{-}^{3}g_{++}=0$, revealing the origin of the
$SL(2,R)$ Kac-Moody symmetry. The BF degree of freedom turns out be dynamically
active as the Liouville mode in the conformal gauge, while in the light-cone
gauge the conformal degree of freedom plays that r{\^o}le. The inclusion of the
cosmological constant term in both gauges and the harmonic gauge-fixing are
also considered.Comment: 30 pages, KANAZAWA 93-

### Exact Analysis of Level-Crossing Statistics for (d+1)-Dimensional Fluctuating Surfaces

We carry out an exact analysis of the average frequency $\nu_{\alpha x_i}^+$
in the direction $x_i$ of positive-slope crossing of a given level $\alpha$
such that, $h({\bf x},t)-\bar{h}=\alpha$, of growing surfaces in spatial
dimension $d$. Here, $h({\bf x},t)$ is the surface height at time $t$, and
$\bar{h}$ is its mean value. We analyze the problem when the surface growth
dynamics is governed by the Kardar-Parisi-Zhang (KPZ) equation without surface
tension, in the time regime prior to appearance of cusp singularities (sharp
valleys), as well as in the random deposition (RD) model. The total number
$N^+$ of such level-crossings with positive slope in all the directions is then
shown to scale with time as $t^{d/2}$ for both the KPZ equation and the RD
model.Comment: 22 pages, 3 figure

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