We analyze supersymmetric solutions of M-theory based an a seven-dimensional internal space with SU(3) structure and a four-dimensional maximally symmetric space. The most general supersymmetry conditions are derived and we show that a non-vanishing cosmological constant requires the norms of the two internal spinors to differ. We find explicit local solutions with singlet flux and the space be...

The X = M conjecture of Hatayama et al. asserts the equality between the one-dimensional configuration sum X expressed as the generating function of crystal paths with energy statistics and the fermionic formula M for all affine Kac–Moody algebra. In this paper we prove the X = M conjecture for tensor products of Kirillov–Reshetikhin crystals B1,s associated to symmetric powers for all nonexcep...

In the title mol-ecule, C17H18N2O2, the benzene rings form a dihedral angle of 83.0 (7)°. In the crystal, N-H⋯O hydrogen bonds, in an R(2)2(8) graph-set motif, link mol-ecules into centrocymmetric dimers, and weak C-H⋯π inter-actions further link these dimers into columns in [100].

Reprints request to Dr. G. RENGER, Institut für Physikalische Chemie der T.U., D-1000 Berlin, Straße des 17. Juni 135. * CCCP = Carbonylcyanide m-chlorophenylhydrazone. 1 H . H . STIEHL and H . T . WITT, Z . Naturforsch. 2 4 b , 1 5 8 8 [ 1 9 6 9 ] . 2 G . DÖRING, H . H . STIEHL, and H . T . W I T T , Z . Naturforsch. 2 2 b , 639 [1967]. 3 G . DÖRING, G . RENGER, J. VATER, and H . T . WITT, Z ....