704 research outputs found
The Correlation Between Exercise and Sleep in Postmenopausal Women
https://openworks.mdanderson.org/sumexp23/1097/thumbnail.jp
Pulsating Strings in Deformed Backgrounds
This is a brief summary on pulsating strings in beta deformed backgrounds
found recently.Comment: 8 pages. Talk presented at Quantum Theory and Symmetries 7, Prague,
August 7-13, 201
The SU(3) spin chain sigma model and string theory
The ferromagnetic integrable SU(3) spin chain provides the one loop anomalous
dimension of single trace operators involving the three complex scalars of N=4
supersymmetric Yang-Mills. We construct the non-linear sigma model describing
the continuum limit of the SU(3) spin chain. We find that this sigma model
corresponds to a string moving with large angular momentum in the five-sphere
in AdS_5xS^5. The energy and spectrum of fluctuations for rotating circular
strings with angular momenta along three orthogonal directions of the
five-sphere is reproduced as a particular case from the spin chain sigma model.Comment: 14 pages. Latex.v2: Misprints corrected. v3: Minor changes and
improved details from journal versio
Field theory simulation of Abelian-Higgs cosmic string cusps
We have performed a lattice field theory simulation of cusps in Abelian-Higgs
cosmic strings. The results are in accord with the theory that the portion of
the strings which overlaps near the cusp is released as radiation. The radius
of the string cores which must touch to produce the evaporation is
approximately in natural units. In general, the modifications to the
string shape due to the cusp may produce many cusps later in the evolution of a
string loop, but these later cusps will be much smaller in magnitude and more
closely resemble kinks.Comment: 9 pages, RevTeX, 13 figures with eps
Rotating strings and D2-branes in type IIA reduction of M-theory on G2 manifold and their semiclassical limits
We consider rotating strings and D2-branes on type IIA background, which
arises as dimensional reduction of M-theory on manifold of G2 holonomy, dual to
N=1 gauge theory in four dimensions. We obtain exact solutions and explicit
expressions for the conserved charges. By taking the semiclassical limit, we
show that the rotating strings can reproduce only one type of semiclassical
behavior, exhibited by rotating M2-branes on G2 manifolds. Our further
investigation leads to the conclusion that the rotating D2-branes reproduce two
types of the semiclassical energy-charge relations known for membranes in
eleven dimensions.Comment: LaTeX, 29 pages, no figures; V2:comments added; V3:no changes, to
appear in JHE
Rational three-spin string duals and non-anomalous finite size effects
We determine by a one line computation the one-loop conformal dimension and
the associated non-anomalous finite size correction for all operators dual to
spinning strings of rational type having three angular momenta (J_1,J_2,J_3) on
S^5. Finite size corrections are conjectured to encode information about string
sigma model loop corrections to the spectrum of type IIB superstrings on
AdS_5xS^5. We compare our result to the zero-mode contribution to the leading
quantum string correction derived for the stable three-spin string with two out
of the three spin labels identical and observe agreement. As a side result we
clarify the relation between the Bethe root description of three-spin strings
of the type (J,J',J') with respectively J>J' and J<J'.Comment: 15 pages, v2: comparison to string theory changed, references added,
v3: textual modifications and title change
Absorbing boundary conditions for the Westervelt equation
The focus of this work is on the construction of a family of nonlinear
absorbing boundary conditions for the Westervelt equation in one and two space
dimensions. The principal ingredient used in the design of such conditions is
pseudo-differential calculus. This approach enables to develop high order
boundary conditions in a consistent way which are typically more accurate than
their low order analogs. Under the hypothesis of small initial data, we
establish local well-posedness for the Westervelt equation with the absorbing
boundary conditions. The performed numerical experiments illustrate the
efficiency of the proposed boundary conditions for different regimes of wave
propagation
Fourier Method for Approximating Eigenvalues of Indefinite Stekloff Operator
We introduce an efficient method for computing the Stekloff eigenvalues
associated with the Helmholtz equation. In general, this eigenvalue problem
requires solving the Helmholtz equation with Dirichlet and/or Neumann boundary
condition repeatedly. We propose solving the related constant coefficient
Helmholtz equation with Fast Fourier Transform (FFT) based on carefully
designed extensions and restrictions of the equation. The proposed Fourier
method, combined with proper eigensolver, results in an efficient and clear
approach for computing the Stekloff eigenvalues.Comment: 12 pages, 4 figure
Generalized pulsating strings
In this paper we consider new solutions for pulsating strings. For this
purpose we use tha idea of the generalized ansatz for folded and circular
strings in hep-th/0311004. We find the solutions to the resulting
Neumann-Rosochatius integrable system and the corrections to the energy. To do
that we use the approach developed by Minahan in hep-th/0209047 and find that
the corrections are quite different from those obtained in that paper and
hep-th/0310188. We conclude with comments on our solutions and obtained
corrections to the energy, expanded to the leading order in lambda.Comment: v.2 references added, citations corrected, 18 page
Anomalous dimension and local charges
AdS space is the universal covering of a hyperboloid. We consider the action
of the deck transformations on a classical string worldsheet in . We argue that these transformations are generated by an infinite linear
combination of the local conserved charges. We conjecture that a similar
relation holds for the corresponding operators on the field theory side. This
would be a generalization of the recent field theory results showing that the
one loop anomalous dimension is proportional to the Casimir operator in the
representation of the Yangian algebra.Comment: 10 pages, LaTeX; v2: added explanations, reference
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