BLACK HOLE MULTIPLETS AND SPONTANEOUS BREAKING OF LOCAL SUPERSYMMETRY

TL;DR

This paper classifies supersymmetric states in four-dimensional N=4 theories, linking black hole solutions to supersymmetry representations, and explores how gluino condensates could spontaneously break local supersymmetry.

Contribution

It introduces a classification of supersymmetric states, including black hole multiplets, and proposes a mechanism for spontaneous supersymmetry breaking via gluino condensates.

Findings

Black hole supermultiplets form specific supersymmetry representations.

Gluino condensate may spontaneously break local supersymmetry.

Centrino multiplet includes a massive spin 3/2 state.

Abstract

We classify states saturating a double or a single supersymmetric positivity bound of a four-dimensional N=4 supersymmetry. The massive four-dimensional double-bound states (Bogomolny states) are shown to form a light-like representation of ten-dimensional supersymmetry. The single-bound states form a massive representation (centrino multiplet) of a four-dimensional supersymmetry. The first component of the centrino multiplet is identified with extreme black holes with regular horizon which have one quarter of unbroken supersymmetry. The centrino multiplet includes a massive spin 3/2 state, the centrino, as a highest spin state. Existence of massive black hole supermultiplets may affect the massless sector of the theory. Assuming that gluino condensate is formed one can study its properties. The bilinear combination of covariantly constant Killing spinors supplies the possible form for a gluino condensate. The condensate has null properties, does not introduce a cosmological constant, and may lead to a spontaneous breaking of local supersymmetry. This suggests that centrino may provide a consistent super-Higgs mechanism.