Work

Generalised killing spinors on three-dimensional Lie groups

Year: 2025

Type: article

Abstract: We present a complete classification of invariant generalised Killing spinors on three-dimensional Lie groups. We show that, in this context, the existence of a non-trivial invariant generalised Killing spinor implies that all invariant spinors are generalised Killing with the same endomorphism. Notably, this classification is independent of the choice of left-invariant metric. To illustrate the computational methods underlying this classification, we also provide the first known examples of homogeneous manifolds admitting invariant generalised Killing spinors with n distinct eigenvalues for each $$n > 4$$ n > 4 .

Source: manuscripta mathematica

DOI: 10.1007/s00229-025-01617-y

Author: Diego Artacho

Institution: Imperial College London

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,090

Funder: Engineering and Physical Sciences Research Council