Duality Invariance of Black Hole Creation Rates

TL;DR

This paper demonstrates that the pair creation rates of electrically and magnetically charged black holes are equal under dual boundary conditions, highlighting a fundamental symmetry in black hole pair creation processes.

Contribution

It establishes the duality invariance of black hole pair creation rates by analyzing boundary terms in the Maxwell action, revealing a symmetry between electric and magnetic black hole creation.

Findings

Creation rates are equal for electric and magnetic black holes under dual boundary conditions.

Boundary terms in the Maxwell action determine the invariance.

Dual boundary conditions lead to symmetric pair creation processes.

Abstract

Pair creation of electrically charged black holes and its dual process, pair creation of magnetically charged black holes, are considered. It is shown that the creation rates are equal provided the boundary conditions for the two processes are dual to one another. This conclusion follows from a careful analysis of boundary terms and boundary conditions for the Maxwell action.