Talk abstract details

Although the Lanczos potential (a $(2,1)$ form, $ L_{ab}{}^c$) for the Weyl tensor does not exist in dimensions greater than four, a new potential (a $(2,3)$ form, $ P_{ab}{}^{cde}$, which coincides with the double dual of $ L_{ab}{}^c$ in four dimensions) has recently been shown to exist in all dimensions $n\ge 4$.

In this talk we discuss the structure of its wave equation which is obtained from the Bianchi identities, and the related question of gauge.