Symmetry and Z_2-Orbifolding Approach in Five-dimensional Lattice Gauge Theory

In a lattice gauge-Higgs unification scenario using a Z_2-orbifolded extra-dimension, we find a new global symmetry in a case of SU(2) bulk gauge symmetry. It is a global symmetry on sites in a fixed point with respect to Z_2-orbifolding, independent of the bulk gauge symmetry. It is shown that the vacuum expectation value of a Z_2-projected Polyakov loop is a good order parameter of the new symmetry. The effective theory on lattice is also discussed.Comment: 13 pages, 3 figures; refined the explanation

An experimental and theoretical study into the facile, homogenous (N-Heterocyclic Carbene)2-Pd(0) catalyzed diboration of internal and terminal alkynes

Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Pd(ITMe)(2)(PhC CPh) acts as a highly reactive pre-catalyst in the unprecedented homogenous catalyzed diboration of terminal and internal alkynes, yielding a number of novel and known syn-1,2-diborylalkenes in a 100% stereoselective manner. DFT calculations suggest that a similar reaction pathway to that proposed for platinum phosphine analogues is followed, and that destabilization of key intermediates by the NHCs is vital to the overall success for the palladium-catalyzed B-B addition to alkynes.62074617467EPSRC Standard Research Student (DTG) [EP/L505109/1]Fundacao de Amparo a Pesquisa do Estado de Sao Paulo [2013/04813-6, 2015/11840-5, 2015/01491-3]Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP