Noether's theorems in a general setting. Reducible graded Lagrangians

Автор: Sardanashvily G.
Сборник: Geometry of Jets and Fields. Banach Center Publications
Том: 110
Год издания: 2016
Место издания: Institute of Mathematics, Polish Academi of Science Warsaw
Аннотация: Noether's first and second theorems are formulated in a general setting of reducible degenerate Grassmann-graded Lagrangian theory of even and odd variables on graded bundles. Such Lagrangian theory is characterized by a hierarchy of higher-stage Noether identities described by a Koszul--Tate chain complex. Noether's second theorems associate to this complex a cochain sequence whose ascent operator defines higher-stage gauge symmetries of Grassmann-graded Lagrangian system. This operator is extended to the nilpotent BRST one that provides a BRST extension of an original Lagrangian theory. Noether's first theorem is formulated as a straightforward corollary of the global variational formula. It associates to any gauge symmetry the conserved current which is proved to be a total differential on-shell.
Добавил в систему: Сарданашвили Геннадий Александрович

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