Duality, Generalized Global Symmetries and Jet Space Isometries

We revisit universal features of duality in linear and nonlinear relativistic scalar Abelian 1-form theories with single or multiple fields, which exhibit ordinary generalized global symmetries. show that such symmetries can be interpreted as Killing isometries on a suitable, possibly graded, target space fields its jet when the theory contains higher derivatives. This is realized via sigma model perspective motivated from fact spin particles Nambu–Goldstone bosons spontaneously broken work out detail 2D examples compact massless Heisenberg pion fireball 4D Maxwell, Born–Infeld, ModMax electrodynamics. In all cases we identify ’t Hooft anomaly obstructs simultaneous gauging both confirm matching under duality. These results readily generalize to gauge for p-forms. For multifield theories, discuss transformation couplings two sets Buscher rules even odd differential forms.