3d mirror symmetry of braided tensor categories

We study the braided tensor structure of line operators in the topological A and B twists of abelian 3d $\mathcal{N}=4$ gauge theories, as accessed via boundary vertex operator algebras (VOA's). We focus exclusively on abelian theories. We first find a non-perturbative completion of boundary VOA's in the B twist, which start out as certain affine Lie superalebras; and we construct free-field realizations of both A and B-twist VOA's, finding an interesting interplay with the symmetry fractionalization group of bulk theories. We use the free-field realizations to establish an isomorphism between A and B VOA's related by 3d mirror symmetry. Turning to line operators, we extend previous physical classifications of line operators to include new monodromy defects and bound states. We also outline a mechanism by which continuous global symmetries in a physical theory are promoted to higher symmetries in a topological twist -- in our case, these are infinite one-form symmetries, related to boundary spectral flow, which structure the categories of lines and control abelian gauging. Finally, we establish the existence of braided tensor structure on categories of line operators, viewed as non-semisimple categories of modules for boundary VOA's. In the A twist, we obtain the categories by extending modules of symplectic boson VOA's, corresponding to gauging free hypermultiplets; in the B twist, we instead extend Kazhdan-Lusztig categories for affine Lie superalgebras. We prove braided tensor equivalences among the categories of 3d-mirror theories. All results on VOA's and their module categories are mathematically rigorous; they rely strongly on recently developed techniques to access non-semisimple extensions.Comment: 158 pages, comments welcome

Prevention of Postpartum Haemorrhage: Economic evaluation of the novel Butterfly device in a UK setting

ObjectivesTo explore the cost-effectiveness of a novel PPH device as compared with usual care.DesignA decision analytical model was used to explore the cost-effectiveness of the PPH Butterfly device compared with usual care. This was part of a United Kingdom, UK, clinical trial ISRCTN15452399 using a matched historical cohort who had standard PPH management without the use of the PPH Butterfly device. The economic evaluation was conducted from a UK National Health Service (NHS) perspective.SettingLiverpool Women's Hospital, UK.Participants57 women with 113 matched controls.InterventionThe PPH Butterfly is a novel device that has been invented and developed in the UK to facilitate bimanual compression of the uterus in the treatment of PPH.Main outcome measuresMain outcome measures included healthcare costs, blood loss, and maternal morbidity events.ResultsMean treatment costs in the Butterfly cohort were £3,459.66 as compared with standard care £3,223.93. Treatment with the Butterfly device resulted in decreased total blood loss in comparison with standard care. The Butterfly device had an incremental cost-effectiveness ratio of £3,795.78 per PPH progression avoided (defined as ≤ 1000 ml additional blood loss from device insertion point). If the NHS is prepared to pay £8,500 per PPH progression avoided, then the Butterfly device is cost-effective with a probability of 87 percent. In the PPH Butterfly treatment arm there were 9% fewer cases of massive obstetric haemorrhage (severe PPH of more than 2000mls or more than 4 units of blood transfusion required) recorded as compared with the standard care historical cohort. As a low-cost device, the PPH Butterfly device is cost-effective but can be cost-saving to the NHS.ConclusionThe PPH pathway can result in high-cost resource use such as blood transfusion or high dependence unit hospital stays. The Butterfly device is a relative low-cost device in a UK NHS setting with a high probability of being cost-effective. The National Institute for Health and Care Excellence (NICE) can use this evidence in considering the adoption of innovative technologies such as the Butterfly device in the NHS. Extrapolation on an international scale to lower and middle-income countries could prevent mortality associated with PPH

A social return on investment evaluation of the pilot social prescribing EmotionMind Dynamic coaching programme to improve mental wellbeing and self-confidence

The COVID-19 pandemic contributed to longer waiting lists for people seeking to access mental health services. The NHS Five Year Forward View encourages the development of empowerment-based social prescribing interventions to supplement existing mental health programmes. Based in South Wales, EmotionMind Dynamic (EMD) is a lifestyle coaching programme that supports individuals suffering from anxiety or depression. In this evaluation of lifestyle coaching, a mixed-method social return on investment (SROI) methodology was used to value quantitative and qualitative data from face-to-face and online participants. Data collection took place between June 2021 and January 2022. Participants included both self-referred clients and those referred from health services. Mental wellbeing data were collected at baseline and at the end of the programme using the short Warwick−Edinburgh Mental Wellbeing Scale (SWEMWBS) and the General Self-Efficacy Scale (GSES). Baseline and follow-up data were available for 15 face-to-face participants and 17 online clients. Wellbeing valuation quantified and valued outcomes from participants. Results indicated that for every GBP 1 invested, lifestyle coaching generated social values ranging from GBP 4.12−GBP 7.08 for face-to-face clients compared with GBP 2.37−GBP 3.35 for online participants. Overall, lifestyle coaching generated positive social value ratios for both face-to-face and online clients

Toward the total synthesis of patellazole B: synthesis of an advanced C1-C25 fragment corresponding to the macrocyclic skeleton.

The patellazoles are a family of complex marine macrolides that exhibit potent cytotoxicity against cancer cell lines. However, despite extensive characterisation efforts, their full stereochemical assignment has remained elusive. We report our approach towards the synthesis-enabled structural elucidation of patellazole B (4), a 24-membered macrolide with 16 stereocentres and a signature thiazole-containing side chain. Our plan hinges upon isolating the unknown stereocentres into a single C20-C25 fragment to facilitate the flexible assembly of various possible diastereomers of an advanced C1-C25 fragment. Towards this end, a highly convergent and modular synthesis of one candidate diastereomer 37, corresponding to the patellazole B macrocyclic skeleton, has been achieved based on the strategic application of stereocontrolled aldol methodology, combined with Suzuki and Heck cross-coupling reactions

Pop stars and idolatry: an investigation of the worship of popular music icons, and the music and cult of Prince.

Prince is an artist who integrates elements from the sacred into his work. He uses popular iconography to present himself as an icon of consumer culture, as a deified ‘rock god’ worshipped by his fans, and as a preacher leading his audience like a congregation. His personality cult mixes spirituality and sexuality, and deals with issues of ecstasy and liberation, a transgressional approach that draws both controversy and public interest. This paper investigates Prince’s work and the role of the pop star as an icon within contemporary culture, an icon that contains a physicality and sexuality not present in contemporary western religious traditions. It discusses to what extent popular musical culture operates as a form of religious practice within contemporary western culture, and the implications that this has. The paper investigates the construction of Prince’s public character, his manipulation of the star system, and how he uses popular iconography to blur the distinctions between spirituality and sexuality, the idealised performer and the real world, the sacred and the profane, and the human and the divine. It explores how he possesses and is possessed by the audience, who enter into the hollow vessel he offers up to his fans

Prevention of poor physical and mental health through the green social prescribing opening doors to the outdoors programme: a social return on investment analysis

There is growing interest in green social prescribing and connecting with nature-based activities to promote social cohesion along with improving levels of health, wealth and well-being. The Outdoor Partnership is a third sector organisation based in North Wales offering nature based social prescribing interventions. Individuals experiencing poor mental health and wellbeing are referred from GPs, community mental health services, and third sector organisations to the ‘Opening the Doors to the Outdoors’ (ODO) programme which is a 12-week outdoor walking and climbing green prescribing intervention. The purpose of the ODO programme is to provide a supportive environment to increase levels of physical activity among participants leading to improvements in overall health and mental wellbeing while promoting socialisation among peers. In this evaluation of a preventative green social prescribing intervention, a mixed method social return on investment (SROI) approach used quantitative and qualitative data from ODO participants. Data collection took place from April 2022–November 2022. Mental wellbeing data was collected at baseline and at 12 weeks using the Short Warwick Edinburgh Mental Wellbeing Scale, a social trust question, an overall health question, and the International Physical Activity Questionnaire- short form. Baseline and follow-up data was available for 52 ODO participants. Results indicate that for every £1 invested in the ODO programme, social values ranging from £4.90 to £5.36 were generated