Free Field Realisation of the Chiral Universal Centraliser.

In the TQFT formalism of Moore-Tachikawa for describing Higgs branches of theories of class , the space associated to the unpunctured sphere in type is the universal centraliser , where . In more physical terms, this space arises as the Coulomb branch of pure gauge theory in three dimensions with gauge group , the Langlands dual. In the analogous formalism for describing chiral algebras of class , the vertex algebra associated to the sphere has been dubbed the .

Twisted Chiral Algebras of Class and Mixed Feigin-Frenkel Gluing.

The correspondence between four-dimensional superconformal field theories and vertex operator algebras, when applied to theories of class , leads to a rich family of VOAs that have been given the monicker . A remarkably uniform construction of these vertex operator algebras has been put forward by Tomoyuki Arakawa in Arakawa (Chiral algebras of class and Moore-Tachikawa symplectic varieties, 2018. arXiv:1811.

Flavor Symmetries and Unitarity Bounds in N=2 Superconformal Field Theories.

In this Letter I analyze the constraints imposed by unitarity on the flavor central charges of four-dimensional N=2 superconformal field theories with general reductive global symmetry groups. I derive several general and far-reaching consequences of unitarity by computing the norms of flavor singlet Higgs branch operators appearing in the squares of "moment map" operators via the associated vertex operator algebra, and imposing the requirement that they be non-negative.

N=4 superconformal bootstrap.

We implement the conformal bootstrap for N=4 superconformal field theories in four dimensions. The consistency of the four-point function of the stress-energy tensor multiplet imposes significant upper bounds for the scaling dimensions of unprotected local operators as functions of the central charge of the theory. At the threshold of exclusion, a particular operator spectrum appears to be singled out by the bootstrap constraints.

Cough and reflux esophagitis in children: their co-existence and airway cellularity.

Background: There are no prospective studies that have examined for chronic cough in children without lung disease but with gastroesophageal reflux (GER). In otherwise healthy children undergoing flexible upper gastrointestinal endoscopy (esophago-gastroscopy), the aims of the study were to (1) define the frequency of cough in relation to symptoms of GER, (2) examine if children with cough and reflux esophagitis (RE) have different airway cellularity and microbiology in bronchoalveolar lavage (BAL) when compared to those without.

Methods: Data specific for chronic cough (> 4-weeks), symptoms of GER and cough severity were collected.