On relationships among Chern-Simons theory, BF theory and matrix model

Chern-Simons theory on a U(1) bundle over a Riemann surface \Sigma_g of genus g is dimensionally reduced to BF theory with a mass term, which is equivalent to the two-dimensional Yang-Mills on \Sigma_g. We show that the former is inversely obtained from the latter by the extended matrix T-duality developed in hep-th/0703021. For the case of g=0 (i.e. S^2), the U(1) bundle represents the lens space S^3/Z_p. We find that in this case both the Chern-Simons theory and the BF theory with the mass term are realized in a matrix model. We also construct Wilson loops in the matrix model that correspond to those in the Chern-Simons theory on S^3.Comment: 20 pages, references added, typos correcte

Two-Dimensional Gauge Theory and Matrix Model

We study a matrix model obtained by dimensionally reducing Chern-Simon theory on S^3. We find that the matrix integration is decomposed into sectors classified by the representation of SU(2). We show that the N-block sectors reproduce SU(N) Yang-Mills theory on S^2 as the matrix size goes to infinity.Comment: 14 pages, a reference added, typos correcte

Significance of Stabilometry for Assessing Postoperative Body Sway in Patients with Cervical Myelopathy

[Study Design] Prospective study. [Purpose] To examine the changes in body sway using stabilometry in patients who underwent cervical laminoplasty for cervical myelopathy. [Overview of Literature] Although the patients of cervical myelopathy complain body sway there are few report to examine body sway objectively. [Methods] Patients who received treatment for cervical myelopathy between October 2010 and February 2013 were included. Twenty-one patients underwent cervical laminoplasty (myelopathy group). Body sway was assessed using stabilometry, wherein patients stood on a stabilometer with their eyes closed for 30 seconds. The Romberg ratio, outer peripheral area (OPA) with eyes closed (cm2), and total locus length per unit area (L/A) with eyes closed (/cm) were examined. Examinations were performed preoperatively (at baseline) and at 8 weeks postoperatively. Examination results of patients in the myelopathy group were compared with those of 17 healthy individuals (control group). Clinical symptoms were evaluated using the Japanese Orthopaedic Association scale score (JOA score) and the timed up and go (TUG) test. [Results] In the myelopathy and control groups, the mean baseline Romberg ratio, OPA, and L/A were 2.3±1.2, 8.9±5.5 cm2, and 14.2±5.3/cm and 1.4±1.0, 4.3±2.8 cm2, and 23.7±10.1/cm, respectively. Eight weeks after laminoplasty, only L/A showed significant improvement from baseline in the myelopathy group (23.2±10.1 to 16.8±7.9; p=0.03). The Romberg ratio and OPA showed improvement in the myelopathy group, but the changes were not statistically significant. JOA scores and TUG test results in this group significantly improved from baseline to 8 weeks after laminoplasty (12.7 to 13.4 and 10.8 to 8.0 seconds, respectively; both p<0.05). [Conclusions] L/A is a useful parameter for measuring body sway to assess the recovery of body sway after laminoplasty

T-duality, Fiber Bundles and Matrices

We extend the T-duality for gauge theory to that on curved space described as a nontrivial fiber bundle. We also present a new viewpoint concerning the consistent truncation and the T-duality for gauge theory and discuss the relation between the vacua on the total space and on the base space. As examples, we consider S^3(/Z_k), S^5(/Z_k) and the Heisenberg nilmanifold.Comment: 24 pages, typos correcte

A transmembrane glycoprotein, gp38, is a novel marker for immature hepatic progenitor cells in fetal mouse livers

Previously, we clarified the surface antigen profiles of hepatic progenitor cells (HPCs) in fetal liver tissue as the CD49f+CD45−Thy1− cell fraction. However, these cells were a heterogeneous cell population containing various stages of differentiation. This study aimed to detect more immature HPCs, using a novel surface antigen, gp38. After the collagenase digestion of fetal livers harvested from E13.5 to E18.5 fetal mice, HPCs were obtained and divided into two subpopulations using flow cytometry: gp38-positive HPCs, and gp38-negative HPCs. Both types of HPCs were characterized by immunocytochemistry and RT-PCR. The proliferative activity was compared by BrdU incorporation and 3-(4,5-dimethylthiazol-2-yl)-2,5-diphenyltetrazolium bromide (MTS) assay. Furthermore, the comprehensive gene expression was investigated by DNA microarray. Both types of HPCs expressed alpha-fetoprotein. However, the gp38-positive HPCs derived from E13.5 fetal livers did not express albumin or cytokeratin 19, while the gp38-negative HPCs did. DNA microarray revealed that some genes related to the Wnt signal pathway were up-regulated in the gp38-positive HPCs. Furthermore, Wnt3a had a proliferative effect on the gp38-positive HPCs. In conclusion, the gp38-positive HPCs derived from fetal liver tissue until E13.5 could therefore be candidates for hepatic stem cells in the fetal liver