Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons

We study the one-loop anomalous dimensions of the Super Yang-Mills dual operators to open strings ending on AdS giant gravitons. AdS giant gravitons have no upper bound for their angular momentum and we represent them by the contraction of scalar fields, carrying the appropriate R-charge, with a totally symmetric tensor. We represent the open string motion along AdS directions by appending to the giant graviton operator a product of fields including covariant derivatives. We derive a bosonic lattice Hamiltonian that describes the mixing of these excited AdS giants operators under the action of the one-loop dilatation operator of N=4 SYM. This Hamiltonian captures several intuitive differences with respect to the case of sphere giant gravitons. A semiclassical analysis of the Hamiltonian allows us to give a geometrical interpretation for the labeling used to describe the fields products appended to the AdS giant operators. It also allows us to show evidence for the existence of continuous bands in the Hamiltonian spectrum.Comment: 28 page

Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM

We compute the 1-loop partition function for strings in $AdS_4\times\mathbb{CP}^3$, whose worldsheets end along a line with small cusp angles in the boundary of AdS. We obtain these 1-loop results in terms of the vacuum energy for on-shell modes. Our results verify the proposal by Lewkowycz and Maldacena in arXiv:1312.5682 for the exact Bremsstrahlung function up to the next to leading order in the strong coupling expansion. The agreement is observed for cusps distorting either the 1/2 BPS or the 1/6 BPS Wilson line.Comment: 28 page

Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter and Bremsstrahlung functions

We find 1/6 BPS string configurations in AdS_4 x CP^3, which we identify as the duals of certain 1/6 BPS circular Wilson loops in N=6 super Chern-Simons-matter gauge theory. We use our results to verify -in the strong coupling limit- a proposal made in arXiv:1402.4128 for a relation between the expectation value of these Wilson loops and the Bremsstrahlung function from deforming 1/2 BPS Wilson lines with a cusp. We also derive an analogous relation between the expectation value of some particular 1/12 BPS Wilson loops and the Bremsstrahlung function from deforming 1/6 BPS Wilson lines with an internal space cusp.Comment: 25 pages, 1 figures; v2 author ordering correcte

Procedimentos e aspectos necessários para a análise da relação força/EMG do músculo quadríceps femoral avaliado em condição isométrica e dinâmica

The electromyography (EMG) has been used as a resource related to clinical interventions, as well as control of the adjustments resulting from physical training, especially the muscular strength. The muscular electrical activity allows the investigation of which muscles are used in a motion, the level of muscle activation during the course of movement, intensity and duration of muscular demand. Due to the great usefulness of the study of muscle electrical signal and its complex relationship with the force production, both the relation to physiological and non physiological aspects as well as the procedures needed for the collection of EMG signal in isometric and dynamic activity took place this review. Therefore, the EMG signal presents relation with the strength production of the knee extensor muscles. This relationship has been better demonstrated in isometric assessments than in dynamic conditions, what stimulates further scientific production in this area to better understand and explain the relationship of the contraction dynamics, the production of force and changes in EMG signal and improve their applicability not only in the scientific scope, but in clinical tool, since the dynamic activities are similar to the sports gestures and activities of daily living

Analyzing the Targets of Hate in Online Social Media

Social media systems allow Internet users a congenial platform to freely express their thoughts and opinions. Although this property represents incredible and unique communication opportunities, it also brings along important challenges. Online hate speech is an archetypal example of such challenges. Despite its magnitude and scale, there is a significant gap in understanding the nature of hate speech on social media. In this paper, we provide the first of a kind systematic large scale measurement study of the main targets of hate speech in online social media. To do that, we gather traces from two social media systems: Whisper and Twitter. We then develop and validate a methodology to identify hate speech on both these systems. Our results identify online hate speech forms and offer a broader understanding of the phenomenon, providing directions for prevention and detection approaches.Comment: Short paper, 4 pages, 4 table

Minimizing the weighted number of late jobs on a single machine with equal processing times and agreeable release and due dates

Consider the problem of a set of n jobs which needs to be processed by a single ma chine. The processing time for each job is identical to all the others, and predefined. Once on the machine, preemptions are not allowed. Every job has a release date be fore which it can not be scheduled. They also have due dates, before which they are supposed to have completed processing by the machine. The jobs are weighted, and the goal is to find a schedule which maximize the sum of weights of jobs complete in time. Baptiste [1] approached a generic instance of this problem with a dynamic programming solution which runs in O(n 7 ) time. We use an additional hypothesis related to release and due dates: for any job j, its release date is denoted by rj and its due date by dj . We say that a set of jobs and release and due dates are agreeable if, and only if, for two jobs j1 and j2, rj1 < rj2 ⇔ dj1 < dj2 . We model this problem as an integer linear programming and run in general solvers like glpsol and CPLEX. Finally, we present an alternative solution inspired on Baptiste’s original dynamic programming to solve only instances whose release and due dates are "agreeable" like we defined earlier. Our solution outperforms the original and the solvers when the set of dates is agreeable, running in O(n 3 ) time