The Omega deformed B-model for rigid N=2 theories

We give an interpretation of the Omega deformed B-model that leads naturally to the generalized holomorphic anomaly equations. Direct integration of the latter calculates topological amplitudes of four dimensional rigid N=2 theories explicitly in general Omega-backgrounds in terms of modular forms. These amplitudes encode the refined BPS spectrum as well as new gravitational couplings in the effective action of N=2 supersymmetric theories. The rigid N=2 field theories we focus on are the conformal rank one N=2 Seiberg-Witten theories. The failure of holomorphicity is milder in the conformal cases, but fixing the holomorphic ambiguity is only possible upon mass deformation. Our formalism applies irrespectively of whether a Lagrangian formulation exists. In the class of rigid N=2 theories arising from compactifications on local Calabi-Yau manifolds, we consider the theory of local P2. We calculate motivic Donaldson-Thomas invariants for this geometry and make predictions for generalized Gromov-Witten invariants at the orbifold point.Comment: 73 pages, no figures, references added and typos correcte

Five-dimensional gauge theory and compactification on a torus

We study five-dimensional minimally supersymmetric gauge theory compactified on a torus down to three dimensions, and its embedding into string/M-theory using geometric engineering. The moduli space on the Coulomb branch is hyperkaehler equipped with a metric with modular transformation properties. We determine the one-loop corrections to the metric and show that they can be interpreted as worldsheet and D1-brane instantons in type IIB string theory. Furthermore, we analyze instanton corrections coming from the solitonic BPS magnetic string wrapped over the torus. In particular, we show how to compute the path-integral for the zero-modes from the partition function of the M5 brane, or, using a 2d/4d correspondence, from the partition function of N=4 SYM theory on a Hirzebruch surface.Comment: 30 pages, 2 figures; v2: typos corrected, added references, JHEP versio

Developing sustainability in a dental practice through an Action Research approach

Introduction: For dental practices to become more environmentally sustainable, the full cooperation of all practice staff can lead to greater engagement with proposed initiatives. Action Research is a participatory approach to change that involves participants in the decisions that affect them. Aim: The aim of this study was to collaboratively develop interventions to improve environmental sustainability at one dental practice. Methods: This was a mixed methods study following an Action Research process for intervention design. The study was set in a mixed NHS / private dental practice in England, UK. Results: Participants engaged in the process and were able to choose the measures they wished to implement. Feedback showed that whilst some measures had been discarded, others had led to changes both in professional and personal behaviour. Conclusion: Action Research offers an innovative and constructive method of engaging participants in developing their own sustainability strategies and can encourage positive change

Mikroimplantate in der Medizintechnik mit drahtloser Daten- und Energieübertragung

Intelligent implants are implantable micro sensors or micro actuators with integrated signal conditioning and wireless data transmission. They constitute an indispensable part of modern medical diagnostics and therapy. While cardiac pacemakers or defibrillators offer sufficient space for the integration of a battery, micro implants like cochlear implant, retinal implant or such for the monitoring of physiological parameters have to be designed as passive transponder. Power and data are transmitted using inductive coupling. In order to ensure an interference-proof communication all data are digitized, encoded, and secured by a check sum before transmission. The potential of the micro implant technology is outlined by the example of a micro sensor system for monitoring of patients with high blood pressure and the example of a micro stimulation system as a visual prosthesis for patients suffering from retinitis pigmentosa