Exact results in planar N=1 superconformal Yang-Mills theory

In the \beta-deformed N=4 supersymmetric SU(N) Yang-Mills theory we study the class of operators O_J = Tr(\Phi_i^J \Phi_k), i\neq k and compute their exact anomalous dimensions for N,J\to\infty. This leads to a prediction for the masses of the corresponding states in the dual string theory sector. We test the exact formula perturbatively up to two loops. The consistency of the perturbative calculation with the exact result indicates that in the planar limit the one--loop condition g^2=h\bar{h} for superconformal invariance is indeed sufficient to insure the {\em exact} superconformal invariance of the theory. We present a direct proof of this point in perturbation theory. The O_J sector of this theory shares many similarities with the BMN sector of the N=4 theory in the large R--charge limit.Comment: LaTex, 14 pages, 3 figures; v2: minor corrections and one reference adde

On the continuation of degenerate periodic orbits via normal form : full dimensional resonant tori

We reconsider the classical problem of the continuation of degenerate periodic orbits in Hamiltonian systems. In particular we focus on periodic orbits that arise from the breaking of a completely resonant maximal torus. We here propose a suitable normal form construction that allows to identify and approximate the periodic orbits which survive to the breaking of the resonant torus. Our algorithm allows to treat the continuation of approximate orbits which are at leading order degenerate, hence not covered by classical averaging methods. We discuss possible future extensions and applications to localized periodic orbits in chains of weakly coupled oscillators

On the nonexistence of degenerate phase-shift multibreathers in Klein-Gordon models with interactions beyond nearest neighbors

In this work, we study the existence of, low amplitude, phase-shift multibreathers for small values of the linear coupling in KleinGordon chains with interactions beyond the classical nearest-neighbor (NN) ones. In the proper parameter regimes, the considered lattices bear connections to models beyond one spatial dimension, namely the so-called zigzag lattice, as well as the two-dimensional square lattice or coupled chains. We examine initially the necessary persistence conditions of the system derived by the so-called Effective Hamiltonian Method, in order to seek for unperturbed solutions whose continuation is feasible. Although this approach provides useful insights, in the presence of degeneracy, it does not allow us to determine if they constitute true solutions of our system. In order to overcome this obstacle, we follow a different route. By means of a Lyapunov-Schmidt decomposition, we are able to establish that the bifurcation equation for our models can be considered, in the small energy and small coupling regime, as a perturbation of a corresponding, beyond nearest-neighbor, discrete nonlinear Schr\ua8odinger equation. There, nonexistence results of degenerate phase-shift discrete solitons can be demonstrated by an additional Lyapunov-Schmidt decomposition, and translated to our original problem on the Klein-Gordon system. In this way, among other results, we can prove nonexistence of four-sites vortex-like waveforms in the zigzag Klein-Gordon model. Finally, briefly considering a one-dimensional model bearing similarities to the square lattice, we conclude that the above strategy is not efficient for the proof of the existence or nonexistence of vortices due to the higher degeneracy of this configuration

On the nonexistence of degenerate phase-shift discrete solitons in a dNLS nonlocal lattice

We consider a one-dimensional discrete nonlinear Schr\uf6dinger (dNLS) model featuring interactions beyond nearest neighbors. We are interested in the existence (or nonexistence) of phase-shift discrete solitons, which correspond to four-sites vortex solutions in the standard two-dimensional dNLS model (square lattice), of which this is a simpler variant. Due to the specific choice of lengths of the inter-site interactions, the vortex configurations considered present a degeneracy which causes the standard continuation techniques to be non-applicable. In the present one-dimensional case, the existence of a conserved quantity for the soliton profile (the so-called density current), together with a perturbative construction, leads to the nonexistence of any phase-shift discrete soliton which is at least C2 with respect to the small coupling \u3f5, in the limit of vanishing \u3f5. If we assume the solution to be only C0 in the same limit of \u3f5, nonexistence is instead proved by studying the bifurcation equation of a Lyapunov-Schmidt reduction, expanded to suitably high orders. Specifically, we produce a nonexistence criterion whose efficiency we reveal in the cases of partial and full degeneracy of approximate solutions obtained via a leading order expansion

Metabolizable protein supply according to the NRC (2001) for dairy cows grazing elephant grass.

Pastagens tropicais fertilizadas com nitrogênio podem ter alto teor de proteína bruta (PB) com alta degradabilidade ruminal. O fornecimento de concentrado com alto teor de PB para vacas mantidas nestas pastagens pode aumentar os custos sem efeitos positivos no desempenho. Objetivou-se avaliar os efeitos do suprimento de proteína metabolizável acima das recomendações do NRC (2001) para vacas em pastejo. Quatorze piquetes de capim elefante (Pennisetum purpureum Schum. cv. Napier) com 0,2 ha cada, foram usados em sistema de pastejo rotacionado. Três concentrados (6,3 kg MS-1 vaca-1 dia-1) foram avaliados. O concentrado controle com 17% PB na MS (17% PB) foi ajustado em proteína metabolizável de acordo com o NRC (2001). Os outros dois concentrados foram formulados inclusão extra de farelo de soja para conterem 21,2 (CP) e 25% (CP) de PB na MS. Foram usadas 12 vacas holandesas multíparas com 150 dias em lactação e produção de leite de 19,5 kg dia-1, arranjadas em QL 3 × 3 com quatro replicatas. A massa de forragem disponível era de 11.270 kg MS dia-1 com 34% de folhas verdes e 12% de PB. A produção de leite, produção de leite corrigida para 3,5%, teores de gordura, proteína, lactose e sólidos totais não foram afetados (P > 0,05) pelos tratamentos. O nitrogênio uréico do leite e o nitrogênio uréico do plasma aumentaram linearmente (P 0,05) o ganho de peso, condição corporal, tempo de pastejo, tempo de ruminação, tempo em ócio, temperatura retal e a freqüência respiratória dos animais. O teor de PB no concentrado para suprir proteína metabolizável de acordo com o NRC (2001), é adequado para vacas em terço médio de lactação, mantidas em pastagens tropicais

Deformed PP-waves from the Lunin-Maldacena Background

In this article we study a pp-wave limit of the Lunin-Maldacena background. We show that the relevant string theory background is a homogeneous pp-wave. We obtain the string spectrum. The dual field theory is a deformation of N=4 super Yang-Mills theory. We have shown that, for a class of operators, at O(g_{YM}^2) and at leading order in N, all contributions to the anomalous dimension come from F-terms. We are able to identify the operator in the deformed super Yang-Mills which is dual to the lowest string mode. By studying the undeformed theory we are able to provide some evidence, directly in the field theory, that a small set of nearly protected operators decouple. We make some comments on operators in the Yang-Mills theory that are dual to excited string modes.Comment: 22 pages, 1 figure; Final version to appear in JHE

Impact of Staphylococcus aureus infection on the late lactation goat milk proteome: New perspectives for monitoring and understanding mastitis in dairy goats

The milk somatic cell count (SCC) is a standard parameter for monitoring intramammary infections (IMI) in dairy ruminants. In goats, however, the physiological increase in SCC occurring in late lactation heavily compromises its reliability. To identify and understand milk protein changes specifically related to IMI, we carried out a shotgun proteomics study comparing high SCC late lactation milk from goats with subclinical Staphylococcus aureus IMI and from healthy goats to low SCC mid-lactation milk from healthy goats. As a result, we detected 52 and 19 differential proteins (DPs) in S. aureus-infected and uninfected late lactation milk, respectively. Unexpectedly, one of the proteins higher in uninfected milk was serum amyloid A. On the other hand, 38 DPs were increased only in S. aureus-infected milk and included haptoglobin and numerous cytoskeletal proteins. Based on STRING analysis, the DPs unique to S. aureus infected milk were mainly involved in defense response, cytoskeleton organization, cell-to-cell, and cell-to-matrix interactions. Being tightly and specifically related to infectious/inflammatory processes, these proteins may hold promise as more reliable markers of IMI than SCC in late lactation goats. Significance: The biological relevance of our results lies in the increased understanding of the changes specifically related to bacterial infection of the goat udder in late lactation. The DPs present only in S. aureus infected milk may find application as markers for improving the specificity of subclinical mastitis monitoring and detection in dairy goats in late lactation, when other widespread tools such as the SCC lose diagnostic value

Proteomic datasets of uninfected and Staphylococcus aureus-infected goat milk

We present a proteomic dataset generated from half-udder Alpine goat milk. The milk samples belonged to 3 groups: i) mid-lactation, low somatic cell count, uninfected milk (MLU, n=3); ii) late lactation, high somatic cell count, uninfected milk (LHU, n=3); and late lactation, high somatic cell count, Staphylococcus aureus subclinically infected milk (LHS, n=3). The detailed description of results is reported in the research article entitled \u201cImpact of Staphylococcus aureus infection on the late lactation goat milk proteome: new perspectives for monitoring and understanding mastitis in dairy goats\u201d. After milk defatting, high speed centrifugation and trypsin digestion of milk with the FASP protocol, peptide mixtures were analyzed by LC-MS/MS on a Q-Exactive. Peptide identification was carried out using Sequest-HT in Proteome Discoverer. Then, the Normalized Abundance Spectrum Factor (NSAF) value was calculated by label free quantitation using the spectral counting approach, and Gene Ontology (GO) annotation by Uniprot was carried out by reporting biological process, molecular function and cellular component. The MS data have been deposited to the ProteomeXchange via the PRIDE with the dataset identifier PXD017243