Central Extension of Extended Supergravities in Diverse Dimensions

1996/08/31 by L. Andrianopoli, Laura Andrianopoli, R. D'Auria +3 · 26 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Differential (mechanical device) #Differential geometry #Dimension (graph theory) #Extension (predicate logic) #Quantum Chromodynamics and Particle Interactions #Supergravity #Unit (ring theory) #hep-th

paper · pdf · doi:10.1142/s0217751x97001936

published in International Journal of Modern Physics A 12(21), 3759-3773 (World Scientific) · 13 pages, LaTeX, no figures. This is the last version which will appear in International Journal of Modern Physics A

arxiv created 1996/11/21 · openalex publication_date 1997/08/20 · arxiv updated 2014/11/17 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We generalize central-charge relations and differential identities of N = 2 special geometry to N extended supergravity in any dimension 4 ≤ D < 10, and p-extended objects. We study the extremization of the ADM mass per unit of p-volume of BPS extended objects. Runaway solutions for a "dilaton" degree of freedom leading to a vanishing result are interpreted as BPS extremal states having vanishing Bekenstein–Hawking entropy.

Citations

• Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory
• String theory dynamics in various dimensions
• Unity of superstring dualities

Cited by

• Generalized mirror symmetry and trace anomalies
• Domain walls, the extended superconformal algebra and the supercurrent
• Non-BPS attractors in 5d and 6d extended supergravity