Integrable and Conformal Boundary Conditions for Z_k Parafermions on a Cylinder

We study integrable and conformal boundary conditions for ^sl(2) Z_k parafermions on a cylinder. These conformal field theories are realized as the continuum scaling limit of critical A-D-E lattice models with negative spectral parameter. The conformal boundary conditions labelled by (a,m) in (G, Z_{2k}) are identified with associated integrable lattice boundary conditions labelled by (r,a) in (A_{g-2},G) where g is the Coxeter number of the A-D-E graph G. We obtain analytically the boundary free energies, present general expressions for the parafermion cylinder partition functions and confirm these results by numerical calculations

Fatal case of Fusobacterium necrophorum mitral endocarditis

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First Report of Lamotrigine-Induced Drug Rash with Eosinophilia and Systemic Symptoms Syndrome with Pancreatitis

OBJECTIVE To report a case of lamotrigine-induced drug rash with eosinophilia and systemic symptoms (DRESS) syndrome with pancreatitis as the initial visceral involvement.CASE SUMMARY A 75-year-old man was admitted to the local hospital for generalized tonic-clonic seizures. Results of the clinical examination and neurologic investigations were unremarkable. Lamotrigine treatment was initiated and the patient was discharged a few days later. Forty days after lamotrigine initiation, he developed an exanthematous maculopapular rash with fever, peripheral lymphadenopathies, and hypereosinophilia. Lamotrigine hypersensitivity was suspected and the drug was suspended on day 45. On day 47, the patient presented with acute abdominal pain with an elevated lipase level. Acute pancreatitis was confirmed on computed tomography scan. The patient\u27s condition worsened and he was transferred to the intensive care unit with multiorgan failure. The diagnosis of lamotrigine-induced DRESS syndrome was confirmed by a compatible skin histology and concomitant human herpesvirus-6 infection. DISCUSSION This observation has 2 points of interest. First, pancreatic toxicity of lamotrigine has been rarely reported in the literature. Secondly, pancreatitis is uncommon at the early stage of DRESS syndrome. Only 1 other case of DRESS syndrome, secondary to allopurinol, reports pancreatitis along with an Epstein-Barr virus infection. The Naranjo probability scale indicated a probable causality between lamotrigine and DRESS syndrome in this patient. CONCLUSIONS This is the first reported case of lamotrigine-induced DRESS syndrome with pancreatitis as the initial visceral involvement. Clinicians should be aware of this mode of presentation of DRESS syndrome

A note on dimer models and McKay quivers

We give one formulation of an algorithm of Hanany and Vegh which takes a lattice polygon as an input and produces a set of isoradial dimer models. We study the case of lattice triangles in detail and discuss the relation with coamoebas following Feng, He, Kennaway and Vafa.Comment: 25 pages, 35 figures. v3:completely rewritte

Factors affecting compliance with glove removal after contact with a patient or environment in four intensive care units

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Critical RSOS and Minimal Models II: Building Representations of the Virasoro Algebra and Fields

We consider sl(2) minimal conformal field theories and the dual parafermion models. Guided by results for the critical A_L Restricted Solid-on-Solid (RSOS) models and its Virasoro modules expressed in terms of paths, we propose a general level-by-level algorithm to build matrix representations of the Virasoro generators and chiral vertex operators (CVOs). We implement our scheme for the critical Ising, tricritical Ising, 3-state Potts and Yang-Lee theories on a cylinder and confirm that it is consistent with the known two-point functions for the CVOs and energy-momentum tensor. Our algorithm employs a distinguished basis which we call the L_1-basis. We relate the states of this canonical basis level-by-level to orthonormalized Virasoro states

Discrete complex analysis on planar quad-graphs

We develop a linear theory of discrete complex analysis on general quad-graphs, continuing and extending previous work of Duffin, Mercat, Kenyon, Chelkak and Smirnov on discrete complex analysis on rhombic quad-graphs. Our approach based on the medial graph yields more instructive proofs of discrete analogs of several classical theorems and even new results. We provide discrete counterparts of fundamental concepts in complex analysis such as holomorphic functions, derivatives, the Laplacian, and exterior calculus. Also, we discuss discrete versions of important basic theorems such as Green's identities and Cauchy's integral formulae. For the first time, we discretize Green's first identity and Cauchy's integral formula for the derivative of a holomorphic function. In this paper, we focus on planar quad-graphs, but we would like to mention that many notions and theorems can be adapted to discrete Riemann surfaces in a straightforward way. In the case of planar parallelogram-graphs with bounded interior angles and bounded ratio of side lengths, we construct a discrete Green's function and discrete Cauchy's kernels with asymptotics comparable to the smooth case. Further restricting to the integer lattice of a two-dimensional skew coordinate system yields appropriate discrete Cauchy's integral formulae for higher order derivatives.Comment: 49 pages, 8 figure