203 research outputs found
Traintrack Calabi-Yaus from Twistor Geometry
We describe the geometry of the leading singularity locus of the traintrack
integral family directly in momentum twistor space. For the two-loop case,
known as the elliptic double box, the leading singularity locus is a genus one
curve, which we obtain as an intersection of two quadrics in .
At three loops, we obtain a K3 surface which arises as a branched surface over
two genus-one curves in . We present an
analysis of its properties. We also discuss the geometry at higher loops and
the supersymmetrization of the construction.Comment: 23 pages, 5 figure
A Quantum Check of Non-Supersymmetric AdS/dCFT
Via a challenging field-theory computation, we confirm a supergravity
prediction for the non-supersymmetric D3-D7 probe-brane system with probe
geometry AdS_4 x S^2 x S^2, stabilized by fluxes. Supergravity predicts, in a
certain double-scaling limit, the value of the one-point functions of chiral
primaries of the dual defect version of N=4 SYM theory, where the fluxes
translate into SO(3) x SO(3)-symmetric, Lie-algebra-valued vacuum expectation
values for all six scalar fields. Using a generalization of the technique based
on fuzzy spherical harmonics developed for the related D3-D5 probe-brane
system, we diagonalize the resulting mass matrix of the field theory.
Subsequently, we calculate the planar one-loop correction to the vacuum
expectation values of the scalars in dimensional reduction and find that it is
UV finite and non-vanishing. We then proceed to calculating the one-loop
correction to the planar one-point function of any single-trace scalar operator
and explicitly evaluate this correction for a 1/2-BPS operator of length L at
two leading orders in the double-scaling limit, finding exact agreement with
the supergravity prediction.Comment: 33+14 pages, 5 figures; v2: typos corrected, reference added, version
published in JHE
Advancing Dynamic Fault Tree Analysis
This paper presents a new state space generation approach for dynamic fault
trees (DFTs) together with a technique to synthesise failures rates in DFTs.
Our state space generation technique aggressively exploits the DFT structure
--- detecting symmetries, spurious non-determinism, and don't cares. Benchmarks
show a gain of more than two orders of magnitude in terms of state space
generation and analysis time. Our approach supports DFTs with symbolic failure
rates and is complemented by parameter synthesis. This enables determining the
maximal tolerable failure rate of a system component while ensuring that the
mean time of failure stays below a threshold
Wilson lines in AdS/dCFT
We consider the expectation value of Wilson lines in two defect versions of N
= 4 SYM, both with supersymmetry completely broken, where one is described in
terms of an integrable boundary state, the other one not. For both cases,
imposing a certain double scaling limit, we find agreement to two leading
orders between the expectation values calculated from respectively the field
theory and the string theory side of the AdS/dCFT correspondence.Comment: 8 pages, 2 figures; typos correcte
Accelerating Parametric Probabilistic Verification
We present a novel method for computing reachability probabilities of
parametric discrete-time Markov chains whose transition probabilities are
fractions of polynomials over a set of parameters. Our algorithm is based on
two key ingredients: a graph decomposition into strongly connected subgraphs
combined with a novel factorization strategy for polynomials. Experimental
evaluations show that these approaches can lead to a speed-up of up to several
orders of magnitude in comparison to existing approache
Facing Big Data System Architecture Deployments: Towards an Automated Approach Using Container Technologies for Rapid Prototyping
Within the last decade, big data became a promising trend for many application areas, offering immense potential and a competitive edge for various organizations. As the technical foundation for most of today´s data-intensive projects, not only corresponding infrastructures and facilities but also the appropriate knowledge is required. Currently, several projects and services exist that not only allow enterprises to utilize but also to deploy related technologies and systems. However, at the same time, the use of these is accompanied by various challenges that may result in huge monetary expenditures, a lack of modifiability, or a risk of vendor lock-ins. To overcome these shortcomings, in the contribution at hand, modern container and task automation technologies are used to wrap complex big data technologies into re-usable and portable resources. Those are subsequently incorporated in a framework to automate the deployment of big data architectures in private and limited resources
Low-code Development Platform Usage: Towards Bringing Citizen Development and Enterprise IT into Harmony
The ongoing digitization of our world leads to many areas of our lives being more pleasant and improved. New technologies and paradigms are emerging to support the development of software and systems. Their proliferation not only leads to higher complexity of potential solutions, but also to the problem of finding qualified people. Especially enterprises, which are constantly confronted with this problem, are increasingly considering low-code development platforms (LCDP) to allow the development of software by inexperienced and untrained citizen developers. However, at this point, non-functional requirements, such as performance and security, can require a thorough system understanding. In this work, we identify issues that may occur when citizen developers use LCDPs, allowing to deduce success factors for their implementation. Eventually, this shall help decision makers when introducing LCDPs into their environments
Exploring the Applicability of Test Driven Development in the Big Data Domain
Big data analytics and the according applications have gained huge importance in daily life. This results on the one hand from their versatility and on the other hand from their capability to greatly improve an organization’s performance when utilized appropriately. However, despite their prevalence and the corresponding attention through practitioners as well as the scientific world, the actual implementation still remains a challenging task. Therefore, without the adequate testing, the reliability of the systems and thus the obtained outputs is uncertain. This might reduce their utilization, or even worse, lead to a diminished decision-making quality. The publication at hand explores the adoption of test driven development as a potential approach for addressing this issue. Subsequently, using the design science research methodology, a microservice-based test driven development concept for big data (MBTDD-BD) is proposed. In the end, possible avenues for future research endeavours are indicated
Conformally-regulated direct integration of the two-loop heptagon remainder
We reproduce the two-loop seven-point remainder function in planar, maximally
supersymmetric Yang-Mills theory by direct integration of conformally-regulated
chiral integrands. The remainder function is obtained as part of the two-loop
logarithm of the MHV amplitude, the regularized form of which we compute
directly in this scheme. We compare the scheme-dependent anomalous dimensions
and related quantities in the conformal regulator with those found for the
Higgs regulator.Comment: 22 pages, 1 figure. Detailed results available in an ancillary fil
B-type anomaly coefficients for the D3-D5 domain wall
We compute type-B Weyl anomaly coefficients for the domain wall version of N
= 4 SYM that is holographically dual to the D3-D5 probe-brane system with flux.
Our starting point is the explicit expression for the improved energy momentum
tensor of N = 4 SYM. We determine the two-point function of this operator in
the presence of the domain wall and extract the anomaly coefficients from the
result. In the same process we determine the two-point function of the
displacement operator.Comment: 6 page
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