Holographic Thermal Helicity

We study the thermal helicity, defined in arXiv:1211.3850, of a conformal field theory with anomalies in the context of AdS$_{2n+1}$/CFT$_{2n}$. To do so, we consider large charged rotating AdS black holes in the Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant using fluid/gravity expansion. We compute the anomaly-induced current and stress tensor of the dual CFT in leading order of the fluid/gravity derivative expansion and show their agreement with the field theoretical replacement rule for the thermal helicity. Such replacement rule is reflected in the bulk by new replacement rules obeyed by the Hall currents around the black hole.Comment: 20 pages + 47 pages of appendices ; v2: minor correction

Covariant Noether Charge for Higher Dimensional Chern-Simons Terms

We construct a manifestly covariant differential Noether charge for theories with Chern-Simons terms in higher dimensional spacetimes. This is in contrast to Tachikawa's extension of the standard Lee-Iyer-Wald formalism which results in a non-covariant differential Noether charge for Chern-Simons terms. On a bifurcation surface, our differential Noether charge integrates to the Wald-like entropy formula proposed by Tachikawa in arXiv:hep-th/0611141.Comment: 45 pages; v2: minor corrections and JHEP versio

Crystal structure of (4,4′-bipyridyl-κN)bis[N-(2-hydroxyethyl)-N-isopropyldithiocarbamato-κ2 S,S′]zinc(II)–4,4′-bipyridyl (2/1) and its isostructural cadmium(II) analogue

The title structures, [M(C6H12NOS2)2(C10H8N2)]·0.5C10H8N2, for M = Zn, (I), and Cd, (II), feature terminally bound 4,4′-bipyridyl ligands and non-coordinating 4,4′-bi­pyridyl mol­ecules, with the latter disposed about a centre of inversion. The coordination geometry about the metal atom is defined by two non-symmetrically chelating di­thio­carbamate ligands and a pyridyl N atom. The NS4 donor sets are distorted but, approximate to trigonal bipyramidal in each case. In the crystal, hy­droxy-O—H...O(hy­droxy) and hy­droxy-O—H...N(pyrid­yl) hydrogen bonds between the zinc-containing mol­ecules lead to a supra­molecular layer parallel to (100). The three-dimensional architecture arises as the layers are linked via methine-C—H...S, pyridyl-C—H...O(hy­droxy) and π–π [inter-centroid distance between coordinated pyridyl rings = 3.6246 (18) Å] inter­actions. Channels along the c-axis direction are occupied by the non-coordinating 4,4′-bipyridine mol­ecules, which are held in place by C—H...π(chelate ring) contacts

Crystal structure of bis(μ-N-i-propyl-N-n-propyldithiocarbamato-κ3S,S′:S)bis(N-i-propyl-N-n-propyldithiocarbamato-κ2S,S′)dicadmium(II), C28H56Cd2N4S8

C28H56Cd2N4S8, monoclinic, P21/n (no. 14), a=9.9003(3) Å, b=11.7373(3) Å, c=17.4539(5) Å, β=102.999(3)°, V =1976.22(10) Å3, Z =2, Rgt(F)=0.0243, wRref(F2)=0.0582, T =100 K

Crystal structure of bis(μ-N-i-propyl-N-n-propyldithiocarbamato-κ2S:S′) bis(N-i-propyl-N-n-propyldithiocarbamato-κ2S,S′)dizinc(II), C28H56N4S8Zn2

C28H56N4S8Zn2, monoclinic, P21/n (no. 14), a=9.4123(2) Å, b=19.2708(4) Å, c=11.5228(3) Å, β=107.202(2)°, V= 1996.54(8) Å3, Z=2, Rgt(F)=0.0254, wRref(F2)=0.0572, T=100(2)

Crystal structure of [μ2-1,1′-bis(diphenylphosphanyl)ferrocene-κ2P:P′]bis[(pyrrolidine-1-carbodithioato-κS)gold(I)]

The asymmetric unit of the title compound, {(C34H28FeP2)[Au(C5H8NS2)]2}, comprises half a molecule, with the full molecule being generated by the application of a centre of inversion. The independent AuI atom is coordinated by thiolate S and phosphane P atoms that define an approximate linear geometry [S—Au—P = 169.35 (3)°]. The deviation from the ideal linear is traced to the close approach of the (intramolecular) non-coordinating thione S atom [Au...S = 3.1538 (8) Å]. Supramolecular layers parallel to (100) feature in the crystal packing, being sustained by phenyl–thione C—H...S interactions, with the non-coordinating thione S atom in the role of a dual acceptor. Layers stack with no specific interactions between them