The Kerr-Newman two-twistor particle

Abstract

An all-orders worldline effective action for Kerr-Newman black hole is achieved in twistor particle theory. Exact hidden symmetries are identified in self-dual backgrounds.

Figures (3)

• Figure 1: The "$\pounds_N$ sequence" for Einstein-Maxwell geometry.
• Figure 2: The "organic chemistry" of Einstein-Maxwell geometry. Molecules at each row follow from those on the former row by the action of ${\iota}_ND$. Single lines represent the reaction $(P_{\alpha_1}Q_{\alpha_2}{\cdots\space}Q_{\alpha_p})\space dx \mapsto \sum_{\beta_1+\cdots+\beta_p = 1} (P_{\alpha_1+\beta_1} Q_{\alpha_2+\beta_2}{\cdots\space}Q_{\alpha_p+\beta_p})\space dx$ with $\beta_1,{\cdots},\beta_p {\:\geq\:} 0$. Double lines represent the reaction $(PQ{\space\cdots\space}Q)\space dx \mapsto (PQ{\space\cdots\space}Q)\space Dy$. Squiggly lines represent the "polymerization" reaction $(PQ{\space\cdots\space}Q)\space Dy \mapsto (PQ{\space\cdots\space}Q)\space (Q_2\space dx)$. See Fig. \ref{['molecules']} and also Ref. gde. The smaller diagram in the upper right corner displays the coefficient of each molecule.
• Figure 3: The graphical notation used in Fig. \ref{['chemistry-A']}. Elements in the first row denote $dx^\mu$, $Dy^\mu$, $(P_\ell)_\mu$, and $(Q_\ell)^{\mu\nu}$, respectively. Elements in the second row denote $dx_\mu$, $Dy_\mu$, $(P_\ell)^\mu$, and $(Q_\ell)_{\mu\nu}$, respectively.