Bianchi identity for an Abelian p-form (source code)

= Bianchi identity for an Abelian p-form
{c}
{title2=$dF=0$}

= Bianchi identities for an Abelian p-form
{c}
{synonym}

For an <Abelian p-form gauge field> with local field strength $F=dA$, the <exterior derivative> identity $d^2=0$ gives $dF=0$. In a first-order duality formulation, this identity can be enforced with a Lagrange multiplier, whose elimination restores the local gauge potential.