Explicit examples of DIM constraints for network matrix models

Dotsenko-Fateev and Chern-Simons matrix models, which describe Nekrasov functions for SYM theories in different dimensions, are all incorporated into network matrix models with the hidden Ding-Iohara-Miki (DIM) symmetry. This lifting is especially simple for what we call balanced networks. Then, the Ward identities (known under the names of Virasoro/W-constraints or loop equations or regularity condition for qq-characters) are also promoted to the DIM level, where they all become corollaries of a single identity.Comment: 46 page

Exploring Hidden Atrial Fibrillation in Patients with Type 2 Diabetes Mellitus Admitted to Shinshu University Hospital

Using the event-triggered recorder, SpiderFlash-t AFIB, which allows us to detect asymptomatic or symptomatic arrhythmia, we examined the prevalence of hidden atrial fibrillation (AF) in patients with type 2 diabetes admitted to our hospital. In total, we enrolled 69 patients with type 2 diabetes mellitus admitted to the hospital due to hyperglycemia. Averages of HbA1c, age, duration of the disease, and BMI were 8.9 ％, 64.8 years old, 14.8 years, and 26.0 kg/m2, respectively. Neuropathy, retinopathy, and nephropathy were found in 37 (53.6 ％), 27 (39.1 ％), and 27 (39.1 ％), respectively. Macroangiopathy was found in 13 (18.9 ％). In the first series of surveys where we attached the recorder for 7 days no sustained AF events were found, and only 2 transient events. We attached the recorder for 14 days with 39 subjects in the second series of the survey, and fail to find any AF rhythm. This study is the first attempt to reveal the frequency of hidden AF in diabetes. This finding suggests that screening of atrial fibrillation with SpiderFlash-t AFIB for patients with type 2 diabetic patients hospitalized for glycemic control may not be useful in assessing the prevalence of atrial fibrillation.Article信州医学雑誌 69(2): 75-81(2021)departmental bulletin pape