Galilean noncommutative gauge theory: symmetries & vortices

Noncommutative Chern-Simons gauge theory coupled to nonrelativistic scalars or spinors is shown to admit the ``exotic'' two-parameter-centrally extended Galilean symmetry, realized in a unique way consistent with the Seiberg-Witten map. Nontopological spinor vortices and topological external-field vortices are constructed by reducing the problem to previously solved self-dual equations.Comment: Updated version: some statements rephrased and further references added. LaTex, 17 pages, no figure

Symmetries of fluid dynamics with polytropic exponent

The symmetries of the general Euler equations of fluid dynamics with polytropic exponent are determined using the Kaluza-Klein type framework of Duval et $\it{al}$. In the standard polytropic case the recent results of O'Raifeartaigh and Sreedhar are confirmed and generalized. Similar results are proved for polytropic exponent $\gamma=-1$, which corresponds to the dimensional reduction of $d$-branes. The relation between the duality transformation used in describing supernova explosion and Cosmology is explained.Comment: 10 pages, LaTex, no figures. Revised version: A new proof of the Schrodinger symmetry and two more references added. To appear in Phys. Lett.

Non-relativistic Maxwell-Chern-Simons Vortices

The non-relativistic Maxwell-Chern-Simons model recently introduced by Manton is shown to admit self-dual vortex solutions with non-zero electric field. The interrelated ``geometric'' and ``hidden'' symmetries are explained. The theory is also extended to (non-relativistic) spinors. A relativistic, self-dual model, whose non-relativistic limit is the Manton model is also presented. The relation to previous work is discussed.Comment: 20 pages plain TeX. Revised: minor errors corrected and symmetries explained in a clearer way. Version as will appear in Ann. Phys. (N.Y.

The degree of HIV-1 amino acid variability is strictly related to different disease progression rates

The aim of this study is to evaluate the amino acid variability of HIV-1 Gp41, C2\u2013V3, and Nef in a group of patients characterized by different disease progression rates. HIV-1 sequences were collected from 19 Long term non progressor patients (LTNPs), 9 slow progressors (SPs), and 11 rapid progressors (RPs). Phylogenetic trees were estimated by MEGA 6. Differences in amino acid variability among sequences belonging to the 3 groups have been evaluated by amino acid divergence, Shannon entropy analysis, and the number of amino acid mutations (defined as amino acid variations compared with HxB2). The involvement of amino acid mutations on epitope rich regions was also investigated. The population was mainly composed of males (74.3%) and HIV-1 subtype B strains (B: 92.32%, CRF_12BF, A1, C: 2.56% each). Viral load (log10 copies/mL) and CD4+T cell count (cells/mm3) were 3.9 (3.5\u20134.2) and 618 (504\u2013857) in LTNPs, 3.3 (2.8\u20134.7) and 463 (333\u2013627) in SPs, and 4.6 (4.3\u20135.3) and 201 (110\u2013254) in RPs. Gp41 and C2\u2013V3 amino acid divergence was lower in LTNP and SP strains compared to RPs (median value: 0.085 and 0.091 vs. 0.114, p = 0.005 and 0.042) and a trend of lower variability was observed for Nef (p = 0.198). A lower entropy value was observed at 10, 3, and 7 positions of Gp41, C2\u2013V3, and Nef belonging to LTNPs and at 7, 3, and 1 positions of Gp41, C2\u2013V3, and Nef belonging to SPs compared with RPs (p < 0.05). Focusing on epitope rich regions, again a higher degree of conservation was observed in Gp41 and C2\u2013V3 sequences belonging to LTNPs and SPs compared to those belonging to RPs. This study shows that the extent of amino acid variability correlates with a different HIV-1 progression rate. This variability also involves CTL epitope rich regions, thus suggesting its involvement in the immune escape process modulation