Killing Spinor Identities

TL;DR

This paper derives Killing spinor identities that constrain quantum corrections in supersymmetric theories, showing that electric black holes can receive corrections while magnetic ones cannot.

Contribution

It introduces generic Killing spinor identities that relate to bosonic equations of motion in supersymmetric theories, providing new constraints on quantum corrections.

Findings

Electric black holes may acquire quantum corrections.

Magnetic black holes do not receive quantum corrections.

Killing spinor identities constrain supersymmetric solutions.

Abstract

We have found generic Killing spinor identities which bosonic equations of motion have to satisfy in supersymmetric theories if the solutions admit Killing spinors. Those identities constrain possible quantum corrections to bosonic solutions with unbroken supersymmetries. As an application we show that purely electric static extreme dilaton black holes may acquire specific quantum corrections, but the purely magnetic ones cannot.