The Seven-sphere and its Kac-Moody Algebra

We investigate the seven-sphere as a group-like manifold and its extension to a Kac-Moody-like algebra. Covariance properties and tensorial composition of spinors under $S^7$ are defined. The relation to Malcev algebras is established. The consequences for octonionic projective spaces are examined. Current algebras are formulated and their anomalies are derived, and shown to be unique (even regarding numerical coefficients) up to redefinitions of the currents. Nilpotency of the BRST operator is consistent with one particular expression in the class of (field-dependent) anomalies. A Sugawara construction is given.Comment: 22 pages. Macropackages used: phyzzx, epsf. Three epsf figure files appende

Study of the process e+e−→3(π+π−) in the c.m. energy range 1.5–2.0 GeV with the CMD-3 detector

AbstractThe cross section of the process e+e−→3(π+π−) has been measured using a data sample of 22 pb−1 collected with the CMD-3 detector at the VEPP-2000 e+e− collider. 7956 signal events are selected in the center-of-mass energy range 1.5–2.0 GeV. The measured cross section exhibits a sharp drop near the pp¯ threshold. A first study of dynamics of six-pion production has been performed

The woman’s burial of Atlasovskoe-2 of the xvii century in Central Yakutia: results of a complex research

This article presents a complex study of the female burial of the XVII century in Central Yakutia. The burial rite (traces of ritual roasting of the coffin, orientation to the North) and composition of the accompanying inventory (a knife of the non-Yakut origin, a sphero-conical top part of a headdress with a support for a plume, twin overlaid decorative details of the headdress’s crown, a composite pectoral panel picture of sewn-on patches, an earring in the form of a question mark with a biconical bead) determine the peculiarity of the burial, and their nearest parallels can be traced to the Medieval cultures of the Eurasian steppe and forest-steppe nomads, as well as to the population of the Siberian forest and tundra zones of the XVI–XIX centuries. Craniological characteristics of the buried woman draw her closer to the populations of Central Asian and Baikal anthropological types of the North Asian formation

Comprehensive study of the early Yakut Sergelyakh burial of the XV — beginning of the XVI centuries

The paper presents a comprehensive study of graves which relate to rare burial sites of the early stage of ethnic history of the Yakuts. The burial belongs to an equestrian warrior. It is confirmed by the findings of the horse harness and fragments of weapons, including a part of a Central Asian composite bow which is unique to the Yakuts, arrowheads and a blade of palma (Siberian pole weapon). The vertebral pathologies and morphological features of femurs also point at riding as a usual way of transportation. Multiple injuries of bones indicate to an aggressive lifestyle. The death of the man was caused by a penetrating injury of the head with a bladed weapon. Craniological characteristics of the man correspond to the South Siberian populations characterized by a combination of Caucasoid and Mongoloid features. In this case, the latter prevails. The ritual funerary complexes correspond to the Ust-Talkin culture, which alongside with cranial features of the man enable us to associate Sergelyakh burial with Turkic part of the Sakha people, which is epically correlated with the legendary Elley Bootur