The M-theory origin of global properties of gauge theories

We show that global properties of gauge groups can be understood as geometric properties in M-theory. Different wrappings of a system of N M5-branes on a torus reduce to four-dimensional theories with AN−1 gauge algebra and different unitary groups. The classical properties of the wrappings determine the global properties of the gauge theories without the need to impose any quantum conditions. We count the inequivalent wrappings as they fall into orbits of the modular group of the torus, which correspond to the S-duality orbits of the gauge theories.

Workshop: ASSIP - Attempted Suicide Short Intervention Program. Theory, Practice, and 24 Months Follow-up RCT.

Background: ASSIP is a manualized brief therapy based on a model of suicide as goal-directed action, aimed at establishing a therapeutic alliance in a patient-oriented, collaborative approach. The main goals of the three-session program ASSIP are for patients to understand, from an observer’s position, patterns leading to a suicidal crisis, recognize triggers and warning signs, and to establish individual safety strategies for future suicidal crises. An ongoing therapeutic support is provided with regular letters over 24 months. Method: The study was conducted in a naturalistic setting. 120 Patients were randomly assigned to an intervention group (60 participants) treated with ASSIP combined with follow-up contact through letters, and a control group (60 participants) receiving a single session of clinical assessment. Both groups had treatment as usual. Patients completed a set of psychosocial and clinical questionnaires every six months over a period of 24 months. Results: In the ASSIP group 5 patients made a total of 5 reattempts, compared to 15 patients with 41 reattempts in the control group. The survival analysis yielded a significant difference with a Wald Chi2 of .000003. The ASSIP group had significantly lower suicidal ideation and fewer days of inpatient treatment compared to the control group. Higher scores in the Penn Helping Alliance Questionnaire were associated with lower suicidal ideation during follow-up. Conclusions: ASSIP is a highly effective brief therapy for patients with recent suicide attempts. Forming a strong therapeutic alliance is considered to be a major factor for outcome. ASSIP can be used with minimal training by experienced therapists. An English version of the manual will be published in May 2015.

From quantum to classical dynamics: The relativistic O ( N ) model in the framework of the real-time functional renormalization group

We investigate the transition from unitary to dissipative dynamics in the relativistic O(N) vector model with the λ(φ2)2 interaction using the nonperturbative functional renormalization group in the real-time formalism. In thermal equilibrium, the theory is characterized by two scales, the interaction range for coherent scattering of particles and the mean free path determined by the rate of incoherent collisions with excitations in the thermal medium. Their competition determines the renormalization group flow and the effective dynamics of the model. Here we quantify the dynamic properties of the model in terms of the scale-dependent dynamic critical exponent z in the limit of large temperatures and in 2≤d≤4 spatial dimensions. We contrast our results to the behavior expected at vanishing temperature and address the question of the appropriate dynamic universality class for the given microscopic theory.

What supports students' education in the operating room? A focus group study including students' and surgeons' views.

BACKGROUND AND METHODS We conducted a focus group analysis with students and surgeons on factors which influence medical school students' education in the operating room (OR). The interviews were analyzed using grounded theory. RESULTS The analysis resulted in 18 detailed and easily applyable themes, which were grouped into the four categories: "Students' preparation and organizational aspects", "Learning objectives", "Educational strategies for the teacher", and "Social-environmental aspects". CONCLUSION By including students and surgeons, we were able to extend existing knowledge and enable better understanding of factors influencing teaching in the OR.

Sharp comparison and maximum principles via horizontal normal mapping in the Heisenberg group

In this paper we solve a problem raised by Gutiérrez and Montanari about comparison principles for H−convex functions on subdomains of Heisenberg groups. Our approach is based on the notion of the sub-Riemannian horizontal normal mapping and uses degree theory for set-valued maps. The statement of the comparison principle combined with a Harnack inequality is applied to prove the Aleksandrov-type maximum principle, describing the correct boundary behavior of continuous H−convex functions vanishing at the boundary of horizontally bounded subdomains of Heisenberg groups. This result answers a question by Garofalo and Tournier. The sharpness of our results are illustrated by examples.

Steiner’s formula in the Heisenberg group

Steiner’s tube formula states that the volume of an ϵ-neighborhood of a smooth regular domain in Rn is a polynomial of degree n in the variable ϵ whose coefficients are curvature integrals (also called quermassintegrals). We prove a similar result in the sub-Riemannian setting of the first Heisenberg group. In contrast to the Euclidean setting, we find that the volume of an ϵ-neighborhood with respect to the Heisenberg metric is an analytic function of ϵ that is generally not a polynomial. The coefficients of the series expansion can be explicitly written in terms of integrals of iteratively defined canonical polynomials of just five curvature terms.

Holomorphic Automorphisms of Danielewski Surfaces II: Structure of the Overshear Group

We apply Nevanlinna theory for algebraic varieties to Danielewski surfaces and investigate their group of holomorphic automorphisms. Our main result states that the overshear group, which is known to be dense in the identity component of the holomorphic automorphism group, is a free product.

Proof theory for lattice-ordered groups

Proof-theoretic methods are developed and exploited to establish properties of the variety of lattice-ordered groups. In particular, a hypersequent calculus with a cut rule is used to provide an alternative syntactic proof of the generation of the variety by the lattice-ordered group of automorphisms of the real number chain. Completeness is also established for an analytic (cut-free) hypersequent calculus using cut elimination and it is proved that the equational theory of the variety is co-NP complete.