571 research outputs found
Conformal boundary and geodesics for and the plane wave: Their approach in the Penrose limit
Projecting on a suitable subset of coordinates, a picture is constructed in
which the conformal boundary of and that of the plane wave
resulting in the Penrose limit are located at the same line. In a second line
of arguments all and plane wave geodesics are constructed in
their integrated form. Performing the Penrose limit, the approach of null
geodesics reaching the conformal boundary of to that of the
plane wave is studied in detail. At each point these null geodesics of
form a cone which degenerates in the limit.Comment: some statements refined, chapter 5 rewritten to make it more precise,
some typos correcte
Approaching the transit time limit for high-precision spectroscopy on metastable CO around 6 ÎĽm
We present a high-resolution spectroscopy experiment, based on a molecular beam setup, which pushes the measured line width close to the transit time limit, on the order of 100 kHz
Predictions for PP-wave string amplitudes from perturbative SYM
The role of general two-impurity multi-trace operators in the BMN
correspondence is explored. Surprisingly, the anomalous dimensions of all
two-impurity multi-trace BMN operators to order g_2^2\lambda' are completely
determined in terms of single-trace anomalous dimensions. This is due to
suppression of connected field theory diagrams in the BMN limit and this fact
has important implications for some string theory processes on the PP-wave
background. We also make gauge theory predictions for the matrix elements of
the light-cone string field theory Hamiltonian in the two string-two string and
one string-three string sectors.Comment: 46 pages, 12 figures. V3:typos correcte
Explicit Formulas for Neumann Coefficients in the Plane-Wave Geometry
We obtain explicit formulas for the Neumann coefficients and associated
quantities that appear in the three-string vertex for type IIB string theory in
a plane-wave background, for any value of the mass parameter mu. The derivation
involves constructing the inverse of a certain infinite-dimensional matrix, in
terms of which the Neumann coefficients previously had been written only
implicitly. We derive asymptotic expansions for large mu and find unexpectedly
simple results, which are valid to all orders in 1/mu. Using BMN duality, these
give predictions for certain gauge theory quantities to all orders in the
modified 't Hooft coupling lambda'. A specific example is presented.Comment: 28 pages, 2 figures, v2: reference added, new comments and appendix,
typos fixed in eqs. (86) and (89
Comparing strings in AdS(5)xS(5) to planar diagrams: an example
The correlator of a Wilson loop with a local operator in N=4 SYM theory can
be represented by a string amplitude in AdS(5)xS(5). This amplitude describes
an overlap of the boundary state, which is associated with the loop, with the
string mode, which is dual to the local operator. For chiral primary operators
with a large R charge, the amplitude can be calculated by semiclassical
techniques. We compare the semiclassical string amplitude to the SYM
perturbation theory and find an exact agrement to the first two non-vanishing
orders.Comment: 16 pages, 4 figures, LaTeX; v2: typos corrected; v3: clarification of
boundary conditions at infinity adde
A Calculation of the plane wave string Hamiltonian from N=4 super-Yang-Mills theory
Berenstein, Maldacena, and Nastase have proposed, as a limit of the strong
form of the AdS/CFT correspondence, that string theory in a particular plane
wave background is dual to a certain subset of operators in the N=4
super-Yang-Mills theory. Even though this is a priori a strong/weak coupling
duality, the matrix elements of the string theory Hamiltonian, when expressed
in gauge theory variables, are analytic in the 't Hooft coupling constant. This
allows one to conjecture that, like the masses of excited string states, these
can be recovered using perturbation theory in Yang-Mills theory.
In this paper we identify the difference between the generator of scale
transformations and a particular U(1) R-symmetry generator as the operator dual
to the string theory Hamiltonian for nonvanishing string coupling. We compute
its matrix elements and find that they agree with the string theory prediction
provided that the state-operator map is modified for nonvanishing string
coupling. We construct this map explicitly and calculate the anomalous
dimensions of the new operators. We identify the component arising from the
modification of the state-operator map with the contribution of the string
theory contact terms to the masses of string states.Comment: 38 pages, Latex; v2: Comparison with string theory changed in light
of corrections to string theory results in hep-th/0206073 v3; state-operator
map modified; Physical interpretation and conclusions unchange
Semiclassical quantization of Rotating Strings in Pilch-Warner geometry
Some of the recent important developments in understanding string/ gauge
dualities are based on the idea of highly symmetric motion of ``string
solitons'' in geometry originally suggested by Gubser,
Klebanov and Polyakov. In this paper we study symmetric motion of certain
string configurations in so called Pilch-Warner geometry. The two-form field
breaks down the supersymmetry to but for the string
configurations considered in this paper the classical values of the energy and
the spin are the same as for string in . Although trivial at
classical level, the presence of NS-NS antisymmetric field couples the
fluctuation modes that indicates changes in the quantum corrections to the
energy spectrum. We compare our results with those obtained in the case of
pp-wave limit in hep-th/0206045.Comment: 31 pages, no figures, v2 - a few typos correcte
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