Singular vector structure of quantum curves

We show that quantum curves arise in infinite families and have the structure of singular vectors of a relevant symmetry algebra. We analyze in detail the case of the hermitian one-matrix model with the underlying Virasoro algebra, and the super-eigenvalue model with the underlying super-Virasoro algebra. In the Virasoro case we relate singular vector structure of quantum curves to the topological recursion, and in the super-Virasoro case we introduce the notion of super-quantum curves. We also discuss the double quantum structure of the quantum curves and analyze specific examples of Gaussian and multi-Penner models.Comment: 33 pages; proceedings of the 2016 AMS von Neumann Symposiu

From CFT to Ramond super-quantum curves

As we have shown in the previous work, using the formalism of matrix and eigenvalue models, to a given classical algebraic curve one can associate an infinite family of quantum curves, which are in one-to-one correspondence with singular vectors of a certain (e.g. Virasoro or super-Virasoro) underlying algebra. In this paper we reformulate this problem in the language of conformal field theory. Such a reformulation has several advantages: it leads to the identification of quantum curves more efficiently, it proves in full generality that they indeed have the structure of singular vectors, it enables identification of corresponding eigenvalue models. Moreover, this approach can be easily generalized to other underlying algebras. To illustrate these statements we apply the conformal field theory formalism to the case of the Ramond version of the super-Virasoro algebra. We derive two classes of corresponding Ramond super-eigenvalue models, construct Ramond super-quantum curves that have the structure of relevant singular vectors, and identify underlying Ramond super-spectral curves. We also analyze Ramond multi-Penner models and show that they lead to supersymmetric generalizations of BPZ equations.Comment: 72 page

Super-quantum curves from super-eigenvalue models

In modern mathematical and theoretical physics various generalizations, in particular supersymmetric or quantum, of Riemann surfaces and complex algebraic curves play a prominent role. We show that such supersymmetric and quantum generalizations can be combined together, and construct supersymmetric quantum curves, or super-quantum curves for short. Our analysis is conducted in the formalism of super-eigenvalue models: we introduce β-deformed version of those models, and derive differential equations for associated α/β-deformed super-matrix integrals. We show that for a given model there exists an infinite number of such differential equations, which we identify as super-quantum curves, and which are in one-to-one correspondence with, and have the structure of, super-Virasoro singular vectors. We discuss potential applications of super-quantum curves and prospects of other generalizations

WHOQOL-BREF survey of quality of life among dialyzed end-stage renal disease patients

Introduction: Hemodialysis (HD) improves health and prolongs the life of end-stage renal disease patients, but simultaneously leads to emotional disturbances and impairs the quality of life (QOL). The study was conducted to evaluate the QOL of HD patients. The study was approved by the Regional Bioethical Committee (K.B.Cz.-0014/2017). Material and methods: The World Health Organization Questionnaire of QOL (WHOQOL-BREF) was used in this study with the formal agreement of the WHO. The associations between each patient-related and dialysis-related factor and WHOQOL-BREF domains and questions were computed. The variables were compared by the Student t-test. Results: Data were collected in August 2017 in a single access center. Sixty-nine patients, including 23 (33.3%) women, were evaluated. The factors lowering the scores for particular questions and domains of WHOQOL-BREF were senility, marriage, wrist and arm AVF, not-tunneled CVCs (vs. tunneled), and unwillingness to have a kidney graft. The factors that increased scores for particular questions and domains of WHOQOL-BREF were short dialysis, tunneled CVCs (vs. not-tunneled), and higher URR. The relations between domains and questions of WHOQOL-BREF and sex, education, months on dialysis, kidney graft in the past, fulfillment of medical recommendations, Kt/V and UF were not significant. Conclusions: Although a kidney graft is the best kidney replacement therapy, there is a large group of patients who do not want to receive this treatment. This group should be given special attention. The medical professionals in HD units should remember that patients may not feel comfortable with their disease and satisfied with their body image affected by therapy

Traumatic kidney injury in multiorgan trauma patients : experience of trauma center

Introduction: Traumatic kidney injury (TKI) remains a challenging element of multiorgan trauma. We present a 9-year experience of a trauma center with surgical management of multiorgan trauma patients with TKI. Materials and Methods: The inclusion criteria for this study were TKI in multiorgan trauma patients receiving surgical management. During 9 years, 10,191 patients were hospitalized to the Department of General Surgery. Forty-nine of these multiorgan trauma patients had associated TKI. Results: The severity of the kidney injury was classified on a five-point Organ Injury Scale proposed by the American Association for the Surgery of Trauma. Injuries to other organs were also evaluated. The surgical approach was either laparotomy or laparotomy with thoracotomy, depending on the severity of trauma. Discussion: Abdominal trauma may involve kidneys, especially when the injury is severe and affecting multiple organs. This may be seen in both the adult and pediatric populations. The treatment depends on the severity of organ injuries, hemodynamic stability of the patient and may be either surgical or conservative. Hemodynamically unstable patients received damage control surgery, whereas the stable ones underwent computed tomography before the decision on optimal treatment modality. The most severe vascular injuries are associated with a high mortality rate. Conclusion: TKIs usually appear in young males and predominantly follow blunt abdominal trauma. TKI is usually an element of complex multiorgan trauma with severe injuries to other organs

Primary hyperparathyroidism : diagnostics and surgical management

Primary hyperparathyroidism is an endocrinological pathology of parathyroid glands. Its predominant form is a single parathyroid gland adenoma. We present a case of a 53-year-old patient, who was referred with primary hyperparathyroidism. She underwent ultrasound and sestamibi radionuclide scanning, and was offered surgery. The postoperative histopathological examination proved the presence of parathyroid gland adenoma. Patients managed with primary hyperparathyroidism require preoperative localization of enlarged, usually single parathyroid glands. Diagnostic modalities include ultrasounds, computed tomography scanning, and sestamibi radionuclide scanning. Parathyroidectomy is a recommended treatment modality for each stage of primary hyperparathyroidism, despite organ involvement, severity of hypercalcemia, and parathormone concentration. Significant bone remineralization is observed postoperatively. Preoperative localization of the enlarged parathyroid gland is crucial. Primary hyperparathyroidism requires surgery for definitive treatment. Surgery, although challenging, leads to a cure