On structure constants with two spinning twist-two operators

I consider three-point functions of one protected and two unprotected twist-two operators with spin in N=4 SYM at weak coupling. At one loop I formulate an empiric conjecture for the dependence of the corresponding structure constants on the spins of the operators. Using such an ansatz and some input from explicit perturbative results, I fix completely various infinite sets of one-loop structure constants of these three-point functions. Finally, I determine the two-loop corrections to the structure constants for a few fixed values of the spins of the operators.Comment: 21 page

A note on three-point functions of unprotected operators

Given the recent progress in computing three-point functions in N=4 SYM via integrability, I provide here a novel direct calculation of some structure constants at weak coupling. The main focus is on correlators involving more than one unprotected operator, at two-loop order in the perturbative expansion.Comment: 17 page

ABJM θ\theta-Bremsstrahlung at four loops and beyond

In ABJ(M) theory a generalized cusp can be constructed out of the 1/6 BPS Wilson line by introducing an angle $\varphi$ in the spacial contour and/or an angle $\theta$ in the internal R-symmetry space. The small angles limits of its anomalous dimension are controlled by corresponding Bremsstrahlung functions. In this note we compute the internal space $\theta$-Bremsstrahlung function to four loops at weak coupling in the planar limit. Based on this result, we propose an all order conjecture for the $\theta$-Bremsstrahlung function.Comment: 40 pages; v2: references added, JHEP published extended versio

Using a Poster and Survey Model to Reach New Heights at Library Orientation

Background : Although active learning techniques have the potential to enhance the learner’s experience, it can be difficult to efficiently and effectively incorporate them into unstructured events outside of the classroom such as an orientation fair. This presentation will show how we took a successful poster and survey activity used by academic medical librarians at a community career fair and then adapted it for graduate medical education orientation fairs. We designed a simple poster along with a short survey to help us actively connect with small groups of new medical residents while introducing them to library resources and services. Description : Since 2011, librarians have participated at an annual community career fair. Despite being creative with themes at the fair, our exhibit was largely overlooked by disinterested students due to its lecture-based format until its redesign as an active learning poster and a short survey activity. The poster’s information and graphics did all the “talking” while students were asked to “help” the librarians by reading and critiquing the poster information using a short survey. The success of the poster and survey in the community encouraged us to try the same model with new medical residents at their orientation fair. The redesign prompted more questions and interesting conversations among residents and librarians than in the past. Preliminary review of three years of survey data has revealed an 80% survey completion rate with 100% satisfaction with the poster as an active learning tool. Conclusion : Survey results suggest that the poster and survey model resulted in students retaining more information about the library resources and services while expressing greater satisfaction with this teaching format. Dana Medical librarians continue to use this active learning activity, to study its results, and to build on its success with other library presentations

On the ABJM four-point amplitude at three loops and BDS exponentiation

We study the three-loop four-point amplitude in ABJM theory. We determine the dual conformal invariant integrals with highest number of propagators and fix their coefficients by two-particle cuts. Evaluating such a combination of integrals in dimensional regularization we provide evidence for exponentiation of the amplitude, including the finite terms. In addition we show that the three-loop amplitude can be expressed in terms of classical polylogarithms of uniform degree of transcendentality.Comment: 31 pages, 4 figure

ABJM θ\theta-Bremsstrahlung at four loops and beyond: non-planar corrections

We consider the Bremsstrahlung function associated to a 1/6-BPS Wilson loop in ABJM theory, with a cusp in the couplings to scalar fields. We non-trivially extend its recent four-loop computation at weak coupling to include non-planar corrections. We have recently proposed a conjecture relating this object to supersymmetric circular Wilson loops with multiple windings, which can be computed via localization. We find agreement between this proposal and the perturbative computation of the Bremsstrahlung function, including color sub-leading corrections. This supports the conjecture and hints at its validity beyond the planar approximation.Comment: 22 page