Non-Abelian tensor gauge fields and extended current algebra. Generalization of Yang-Mills theory

摘要

We suggest an infinite-dimensional extension of the gauge transformationswhich includes non-Abelian tensor gauge fields. Extended gauge transformationsof non-Abelian tensor gauge fields form a new large group which has naturalgeometrical interpretation it terms of extended current algebra associated withcompact Lie group. We shall demonstrate that one can construct two infiniteseries of gauge invariant quadratic forms, so that a linear combination of themcomprises the general Lagrangian. The general Lagrangian exhibits enhancedlocal gauge invariants with double number of gauge parameters and allows toeliminate all negative norm states of the nonsymmetric second-rank tensor gaugefield. Therefore it describes two polarizations of helicity-two andhelicity-zero massless charged tensor gauge bosons.