We show that the N =3D (1, 0) superconformal theory on a single M5 brane on the ALE space of type G =3D A(n), D-n, E-n, when compactified on T-2, becomes a class S theory of type G on a sphere with two full punctures and a simple puncture. We study this relation from various viewpoints. Along the way, we develop a new method to study the 4d SCFT arising from the T-2 compactification of a class of 6d N =3D (1, 0) theories we call very Higgsable.
In this paper,we study the Cauchy problem of an integrable evolution system,i.e.,the n-dimensional generalization of third-order symmetry of the well-known Landau-Lifshitz equation.By rewriting this equation in a geometric form and applying the geometric energy method with a forth-order perturbation,we show the global well-posedness of the Cauchy problem in suitable Sobolev spaces.
Koch, Robert de Mello
Jevicki, Antal
Jin, Kewang
Rodrigues, Joao P.
Ye, Qibin
Following the work of Maldacena and Zhiboedov, we study the implementation of the Coleman-Mandula theorem in the free O(N)/higher spin correspondence. In the bi-local framework we first define an S-matrix for scattering of collective dipoles. Its evaluation in the case of free UV fixed point theory leads to the result S = 1 stated in the title. We also present an appropriate field transformation that is seen to transform away all the nonlinear 1/N interactions of this theory. A change of boundary conditions and/or external potentials results in a nontrivial theory.
Krylova, E. S.
Semenov, V. E.
Galyametdinova, I. V.
Akamsin, V. D.
Sharafutdinova, D. R.
Reznik, V. S.
Reactions of 1,3-bis(bromopentyl)-5(6)-substituted uracyls with a series of five-membered heterocycles containing in the ring N, S, or O atoms and a mercapto group as a substituent at the carbon atom of the ring afforded uracyl derivatives of acyclic and macrocyclic structure with 2-thiobenzoxazole, 2-thio-5-methyl-1,3,4-thiadiazole, 2-thiobenzimidazole, and 2,5-dithio-1,3,4-thiadiazole fragments. N atoms of benzoxazole and imidazole fragments of compounds obtained undergo alkylation and quaternization with alkyl iodides and alkyl tosylates.
An (n =3D 2k + s,k) Suh-Ramchandran code is shown, where s > 0 is a positive integer, is a minimum storage regeneration code, and can also achieve the optimal repair bandwidth for multiple systematic nodes failure repair.
Novel, potentially tridentate ligands with P,N,S donor sets (HLdiethyl and HLmorph) were prepared from reactions of N-(dialkyl)thiocarbamoylbenzimide chlorides with 2-(diphenylphosphinomethyl)aniline. They readily react with (NBu4)[ReOCl4] under formation of air-stable [ReOCl2(LR)] complexes, in which the tridentate ligands coordinate meridionally. A similar coordination mode is observed in the nitridorhenium(V) complex [ReN(OReO3)(PPh3)(Ldiethyl)], which can be obtained from a reaction of [ReNCl2(PPh3)2] and HLdiethyl. The complexes were characterized spectroscopically and by X-ray structure analyses.
Novel, potentially tridentate ligands with P,N,S donor sets (HLdiethyl and HLmorph) were prepared from reactions of N-(dialkyl)thiocarbamoylbenzimide chlorides with 2-(diphenylphosphinomethyl)aniline. They readily react with (NBu4)[ReOCl4] under formation of air-stable [ReOCl2(LR)] complexes, in which the tridentate ligands coordinate meridionally. A similar coordination mode is observed in the nitridorhenium(V) complex [ReN(OReO3)(PPh3)(Ldiethyl)], which can be obtained from a reaction of [ReNCl2(PPh3)2] and HLdiethyl. The complexes were characterized spectroscopically and by X-ray structure analyses.
Toh, Chun Keong
Poh, Hwa Tiong
Lim, Ching Si
Fan, Wai Yip
Ru-3(CO)(12) has been shown to catalyse the coupling of silanes with thiols, alcohols and amines with turnover number (TON) and turnover frequency (TOF) of up to 200 and 50 h(-1) at 80 degrees C. IR, NMR and mass spectroscopic studies have identified a ruthenium dimer complex, [Ru(CO)(4)(SiEt3)](2) as a likely resting state of the catalyst. A mechanism involving this complex has been proposed for the siliconethiol coupling process. (C) 2012 Elsevier B.V. All rights reserved.
Mono(thio)substituted nitrodienes were synthesized by reactions of 2-nitropentachloro- 1,3-butadiene with some thiols [(tert-butylbenzyl) thio-and 2,3,5,6-tetrafluorophenylthio-] either directly or in ethanol in the presence of sodium hydroxide. N,S-Substituted 1,3-butadienes were obtained from the reaction of the mono(thio)substituted nitrodienes with morpholine and some piperazine derivatives in dichloromethane. Also mono- and di(thio)substituted perchlorobutadienes were synthesized from the reactions of hexachloro-1,3-butadiene with o-aminothiophenol in ethanol in the presence of sodium hydroxide. The structures of the new compounds were characterized by microanalysis and spectroscopic data.
Lopez-Leonardo, Carmen
Raja, Rosalia
Lopez-Ortiz, Fernando
Angel del Aguila-Sanchez, Miguel
Alajarin, Mateo
The pi-insertion reactions of in situ generated benzynes into the P=N bonds of N-benzyl and N-aryl iminophosphoranes and the P=S bonds of phosphane sulfides have been examined by using the Kobayashi benzyne precursors, (2-trimethylsilyl)phenyl triflates. The reactions with iminophosphoranes afforded (2-aminophenyl)phosphonium triflates under mild conditions, most probably by a [2+2]/retro [2+2] cycloaddition sequence and further N-protonation by the solvent (CH3CN) or N-phenylation by a second molecule of benzyne. The final products of the analogous reactions with P-OCH3-substituted iminophosphoranes were the respective (2-aminophenyl)phosphane oxides, as result of a final O-demethylation event of the putative phosphonium triflate. The reactions with phosphane sulfides involve a final S-phenylation step to yield (2-phenylthio)phenylphosphonium salts.
Lengthened grade of root syllables in PIE words was either motivated or came about by analogy. The adjective (star)sh(2)ur-o- > (star)suh(2)ro- > (star)suro-'sour and liquid' is derived from (star)seh(2)-ur n. 'sour fluid' (> Hitt. sehur 'urine'). Here the motivation of the lengthened grade can be guessed: Cuneiform Luvian sihuwa-'sharp, acid' < (star)s<(e)over bar>(2)uo- can be explained as v.ddhi derivation from an earlier (star)seh(2)-u-'sourness, sharpness'. The noun (star)seh(2)-ur has probably been derived from (star)seh(2)uo-. Hieroglyphic Luvian tipas ` sky, heaven' is best derived from a neuter s-stem (star)neb(h)-s n. 'cloud(s)'. Probably there was an early PIE paradigm (star)n (e) over barb(h)-s, gen. (star)neb(h)-s-s, whose genitive was soon replaced. Here we cannot know the motivation of the lengthened grade but it is likely that it was there. In consideration of this neuter stem (star)neb(h)-s it may well be that also the much disputed Old Irish word sid 'fairy mound, peace' goes back to a lengthened grade neuter s-stem (star)sed-s 'domicile, seat'. The suffixal e-grade of neuter nouns in (star)-es/-os stems from the locative of the acrostatic type (star)neb(h)-s.
van Bochove, Marc A.
Roos, Goedele
Guerra, Celia Fonseca
Hamlin, Trevor A.
Bickelhaupt, F. Matthias
Our quantum chemical activation strain analyses demonstrate how Mg2+ lowers the barrier of the enzymatic triphosphate hydrolysis through two distinct mechanisms: (a) weakening of the leaving-group bond, thereby decreasing activation strain; and (b) transition state (TS) stabilization through enhanced electrophilicity of the triphosphate PPP substrate, thereby strengthening the interaction with the nucleophile.