Self duality in unconventional conformal supersymmetry

Pedro D. Alvarez, Cristóbal Corral, Jorge Zanelli

Research output: Contribution to journalArticlepeer-review

Abstract

In this work, we study (anti-)self duality conditions in unconventional conformal supersymmetry. We focus on a theory constructed in a Townsend-MacDowell-Mansouri form for an SU(2, 2|N) gauge connection with matter fields in the adjoint representation. We find bosonic solutions that correspond to analytic gravitational instantons with nontrivial torsion. These configurations can be regarded as the torsional generalization of the Taub-NUT/Bolt-AdS and Eguchi-Hanson metric and they are (anti-)self-dual with respect to a generalized dual operator. We explore their global properties and show that they saturate a BPS bound.

Original languageEnglish
Article number65
JournalJournal of High Energy Physics
Volume2024
Issue number1
DOIs
StatePublished - Jan 2024
Externally publishedYes

Keywords

  • Black Holes
  • Scale and Conformal Symmetries
  • Solitons Monopoles and Instantons
  • Supergravity Models

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