Branes as solutions of gauge theories in gravitational field

摘要

The idea of the Gauss map is unified with the concept of branes as hypersurfaces embedded into (D)-dimensional Minkowski space. The map introduces new generalized coordinates of branes alternative to their world vectors (mathbf {x}) and identified with the gauge and other massless fields. In these coordinates the Dirac (p)-branes realize extremals of the Euler–Lagrange equations of motion of a ((p+1))-dimensional (mathrm{SO}(D-p-1)) gauge-invariant action in a gravitational background.