In the title compound, C(11)H(18)N(2)S(2+)·2Br(-), the pyrrolidine ring displays a half-chair conformation, with the flap C atom lying 0.522 (5) Å out of the plane of the other four atoms. The methyl-ene C atom, which connects the pyrrolidinium ring and the thio-ether group, is displaced from the plane of four pyrrolidinium atoms by 0.690 (6) Å in the same direction as the flap C atom. The plan...

In the title compound, C(10)H(16)N(2)S(2+)·2Br(-), the pyrrolidine ring displays an envelope conformation, with the flap C atom lying 0.484 (5) Å out of the plane of the rest of the pyrrolidine ring. The thio-ether group connects the pyridine ring and the 2-methyl-pyrrolidine group. Both pyrrolidine NH bonds form hydrogen bonds to the bromide anions. These hydrogen bonds link the cations and an...

Recently, the authors [BG2] introduced a new method for showing the existence of Sasakian-Einstein metrics on compact simply connected 5-dimensional spin manifolds. This method was based on work of Demailly and Kollár [DK] who gave sufficient algebraic conditions on log del Pezzo surfaces anticanonically embedded in weighted projective spaces to guarantee the existence of a Kähler-Einstein orbi...

Introduction The aim of this note is to provide a Steiner triple system STS( v ) which admits a partition into v STS( v) for every v 1 or 3 (mod 6). The STS( v ) obtained in this way will also contain ~v( v 1) subsystems of order 3v. An analogous construction is provided of an S(2, 4, v ) with a partition into v S(2, 4, v)'s in the case v 1 (mod 12). The Steiner system constructed here will als...

The absolute configuration has been determined for the title compound, C(14)H(20)N(2)OS. There are two independent mol-ecules in the asymmetric unit. Inter-molecular N-H⋯O hydrogen bonds are observed in the crystal packing, forming infinite chains with the base vectors [100] and [010]. Each chain contains only one of the two independent mol-ecules.

We derive and investigate the S-matrix for the su(2|3) dynamic spin chain and for planar N = 4 super Yang-Mills. Due to the large amount of residual symmetry in the excitation picture, the S-matrix turns out to be fully constrained up to an overall phase. We carry on by diago-nalising it and obtain Bethe equations for periodic states. This proves an earlier proposal for the asymptotic Bethe equ...

The Kaluza-Klein spectrum of N=2, D=4 supergravity compactified on AdS2×S is found and shown to consist of two infinite towers of SU(1, 1|2) representations. In addition to ‘pure gauge’ modes living on the boundary of AdS which are familiar from higher dimensional cases, in two dimensions there are modes (e.g. massive gravitons) which enjoy no gauge symmetry yet nevertheless have no on-shell de...

Under the continuum hypothesis, there is a compact homogeneous strong S-space.

The absolute configuration has been determined for the title compound, C(14)H(20)N(2)OS. Inter-molecular N-H⋯O hydrogen bonds are observed in the crystal packing, forming infinitive one-dimensional chains with the base vector [100].