Work

Local supersymmetry implies momentum map/Gauntlett-Pakis equations and vanishing generalized Komar forms

Year: 2026

Type: preprint

Abstract: The first-order differential equations satisfied by Killing spinor bilinears (momentum map equations or Gauntlett--Pakis equations, Killing vector equations and the vanishing of the generalized Komar charge of the supersymmetric Killing vector) can be derived directly from the action of the local supersymmetry algebra on bosonic fields. We show how this comes about in several examples of increasing complexity, one of which is 11-dimensional supergravity.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.20931

Authors: Meessen, Patrick, Ortín, Tomás

Institutions: Universidad de Oviedo, Consejo Superior de Investigaciones Científicas, Instituto de Física Teórica, Universidad Autónoma de Madrid

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Ministerio de Ciencia, Innovación y Universidades, Agencia Estatal de Investigación

Awards: G1105844351, G2834200325, G491712853, G522070832, G5635532810, G593054264, G594598535, G717256432, G7395345766, G7805626310, G7863371703, G8497050386, G8667377315

OpenAlex ID: W7222549983

Cites: 34

Cited by:

Related to: 10