15,054 research outputs found
The feasibility of capturing learner interactions based on logs informed by eye-tracking and remote observation studies
Two small studies, one an eye-tracking study and the other a remote observation study, have been conducted to investigate ways to identify two kinds of online learner interactions: users flicking through the web pages in "browsing" action, and users engaging with the content of a page in "learning" action. The video data from four participants of the two small studies using the OpenLearn open educational resource materials offers some evidence for differentiating between 'browsing' and 'learning'. Further analysis of the data has considered possible ways of identifying similar browsing and learning actions based on automatic user logs. This research provides a specification for researching the pedagogical value of capturing and transforming logs of user interactions into external forms of representations. The paper examines the feasibility and challenge of capturing learner interactions giving examples of external representations such as sequence flow charts, timelines, and table of logs. The objective users information these represent offer potential for understanding user interactions both to aid design and improve feedback means that they should be given greater consideration alongside other more subjective ways to research user experience
Supersymmetric Casimir Energy and Transformations
We provide a recipe to extract the supersymmetric Casimir energy of theories
defined on primary Hopf surfaces directly from the superconformal index. It
involves an transformation acting on the complex
structure moduli of the background geometry. In particular, the known relation
between Casimir energy, index and partition function emerges naturally from
this framework, allowing rewriting of the latter as a modified elliptic
hypergeometric integral. We show this explicitly for SQCD and
supersymmetric Yang-Mills theory for all classical gauge
groups, and conjecture that it holds more generally. We also use our method to
derive an expression for the Casimir energy of the nonlagrangian
SCFT with flavour symmetry. Furthermore, we
predict an expression for Casimir energy of the
theory with flavour symmetry that
is part of a multiple duality network, and for the doubled
theory with enhanced flavour symmetry.Comment: 20 pages, more explicit examples added, published in JHE
Scarring in open quantum systems
We study scarring phenomena in open quantum systems. We show numerical
evidence that individual resonance eigenstates of an open quantum system
present localization around unstable short periodic orbits in a similar way as
their closed counterparts. The structure of eigenfunctions around these
classical objects is not destroyed by the opening. This is exposed in a
paradigmatic system of quantum chaos, the cat map.Comment: 4 pages, 4 figure
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