1,193 research outputs found
OPE for Super Loops
We extend the Operator Product Expansion for Null Polygon Wilson loops to the
Mason-Skinner-Caron-Huot super loop, dual to non MHV gluon amplitudes. We
explain how the known tree level amplitudes can be promoted into an infinite
amount of data at any loop order in the OPE picture. As an application, we
re-derive all one loop NMHV six gluon amplitudes by promoting their tree level
expressions. We also present some new all loops predictions for these
amplitudes.Comment: 16 pages + appendices; 5 figure
From Polygon Wilson Loops to Spin Chains and Back
Null Polygon Wilson Loops (WL) in N=4 SYM can be computed using the Operator
Product Expansion in terms of a transition amplitude on top of a color flux
tube (FT). That picture is valid at any value of the 't Hooft coupling. So far
it has been efficiently used at weak coupling (WC) in cases where only a single
particle is flowing. At any finite value of the coupling however, an infinite
number of particles are flowing on top of the color FT. A major open problem in
this approach was how to deal with generic multi-particle states at WC. In this
paper we study the propagation of any number of FT excitations at WC. We do
this by first mapping the WL into a sum of two point functions of local
operators. This map allows us to translate the integrability techniques
developed for the spectrum problem back to the WL. E.g., the FT Hamiltonian can
be represented as a simple kernel acting on the loop. Having an explicit
representation for the FT Hamiltonian allows us to treat any number of
particles on an equal footing. We use it to bootstrap some simple cases where
two particles are flowing, dual to N2MHV amplitudes. The FT is integrable and
therefore has other (infinite set of) conserved charges. The generating
function of conserved charges is constructed from the monodromy (M) matrix
between sides of the polygon. We compute it for some simple examples at leading
order at WC. At strong coupling (SC), these Ms were the main ingredients of the
Y-system solution. To connect the WC and SC computations, we study a case where
an infinite number of particles are propagating already at leading order at WC.
We obtain a precise match between the WC and SC Ms. That match is the WL
analogue of the well known Frolov-Tseytlin limit where the WC and SC
descriptions become identical. Hopefully, putting the WC and SC descriptions on
the same footing is the first step in understanding the all loop structure.Comment: 52 pages, 14 figures, the abstract in the pdf is not encrypted and is
slightly more detaile
Tailoring Three-Point Functions and Integrability II. Weak/strong coupling match
We compute three-point functions of single trace operators in planar N=4 SYM.
We consider the limit where one of the operators is much smaller than the other
two. We find a precise match between weak and strong coupling in the
Frolov-Tseytlin classical limit for a very general class of classical
solutions. To achieve this match we clarify the issue of back-reaction and
identify precisely which three-point functions are captured by a classical
computation.Comment: 36 pages. v2: figure added, references adde
Osteoinduction in human fat derived stem cells by recombinant human bone morphogenetic protein-2 produced in Escherichia coli
Bioactive recombinant human bone
morphogenetic protein-2 (rhBMP-2) was obtained
using Escherichia coli pET-25b expression system:
55 mg purified rhBMP-2 were achieved per g cell dry
wt, with up to 95% purity. In murine C2C12 cell line,
rhBMP-2 induced an increase in the transcription of
Smads and of osteogenic markers Runx2/Cbfa1 and
Osterix, measured by semi-quantitative RT-PCR.
Bioassays performed in human fat-derived stem cells
showed an increased activity of the early osteogenic
marker, alkaline phosphatase, and the absence of
cytotoxicity
Minor and Unsystematic Cortical Topographic Changes of Attention Correlates between Modalities
In this study we analyzed the topography of induced cortical oscillations in 20 healthy individuals performing simple attention tasks. We were interested in qualitatively replicating our recent findings on the localization of attention-induced beta bands during a visual task [1], and verifying whether significant topographic changes would follow the change of attention to the auditory modality. We computed corrected latency averaging of each induced frequency bands, and modeled their generators by current density reconstruction with Lp-norm minimization. We quantified topographic similarity between conditions by an analysis of correlations, whereas the inter-modality significant differences in attention correlates were illustrated in each individual case. We replicated the qualitative result of highly idiosyncratic topography of attention-related activity to individuals, manifested both in the beta bands, and previously studied slow potential distributions [2]. Visual inspection of both scalp potentials and distribution of cortical currents showed minor changes in attention-related bands with respect to modality, as compared to the theta and delta bands, known to be major contributors to the sensory-related potentials. Quantitative results agreed with visual inspection, supporting to the conclusion that attention-related activity does not change much between modalities, and whatever individual changes do occur, they are not systematic in cortical localization across subjects. We discuss our results, combined with results from other studies that present individual data, with respect to the function of cortical association areas
Current challenges in software solutions for mass spectrometry-based quantitative proteomics
This work was in part supported by the PRIME-XS project, grant agreement number 262067, funded by the European Union seventh Framework Programme; The Netherlands Proteomics Centre, embedded in The Netherlands Genomics Initiative; The Netherlands Bioinformatics Centre; and the Centre for Biomedical Genetics (to S.C., B.B. and A.J.R.H); by NIH grants NCRR RR001614 and RR019934 (to the UCSF Mass Spectrometry Facility, director: A.L. Burlingame, P.B.); and by grants from the MRC, CR-UK, BBSRC and Barts and the London Charity (to P.C.
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