On the geometric properties of AdS instantons

DOI10.1088/1126-6708/1999/06/026zbMATH Open0961.81071arXivhep-th/9905231OpenAlexW3102839953MaRDI QIDQ1588632

Ali Kaya

Publication date: 4 December 2000

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Abstract: According to the positive energy conjecture of Horowitz and Myers, there is a specific supergravity solution, AdS soliton, which has minimum energy among all asymptotically locally AdS solutions with the same boundary conditions. Related to the issue of semiclassical stability of AdS soliton in the context of pure gravity with a negative cosmological constant, physical boundary conditions are determined for an instanton solution which would be responsible for vacuum decay by barrier penetration. Certain geometric properties of instantons are studied, using Hermitian differential operators. On a $d$-dimensional instanton, it is shown that there are $d-2$ harmonic functions. A class of instanton solutions, obeying more restrictive boundary conditions, is proved to have $d-1$ Killing vectors which also commute. All but one of the Killing vectors are duals of harmonic one-forms, which are gradients of harmonic functions, and do not have any fixed points.

Full work available at URL: https://arxiv.org/abs/hep-th/9905231

Mathematics Subject Classification ID

String and superstring theories in gravitational theory (83E30) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items (3)

AdS geometry from CFT on a general conformally flat manifold ⋮ Transformations of asymptotically AdS hyperbolic initial data and associated geometric inequalities ⋮ Geometric construction of AdS twistors

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