The Encyclopedic Reference of Critical Points for SO(8)-Gauged N=8 Supergravity Part 1: Cosmological Constants in the Range -\Lambda/g^2 \in [6;14.7)

TL;DR

This paper catalogs 41 critical points in SO(8)-gauged N=8 supergravity, including many novel solutions, using advanced computational methods to analyze their properties and symmetries.

Contribution

It provides a comprehensive, unified collection of critical points, including new findings, with analytic conjectures on their locations and cosmological constants.

Findings

41 critical points identified, 26 are novel.

Residual gauge symmetries vary among critical points.

Analytic conjectures proposed for some critical points.

Abstract

This article is part of a collection that strives to collect and provide in an unified form data about all the critical points on the scalar manifold of SO(8)-gauged N=8 supergravity in four dimensions known so far. The vast majority of these were obtained using the enhanced sensitivity backpropagation method introduced by the author in 2008. This part of the collection describes 41 critical points, 7 of which have been known for more than two decades, 8 of which were discovered recently, and 26 are novel. The residual gauge symmetries of these 41 critical points (likely) are SO(8) with N=8 SUSY (1x), SO(7) (2x), SU(4) (1x), G2 with N=1 SUSY (1x), SU(3)xU(1) with N=2 SUSY (1x), SO(3)xSO(3) (2x), SO(3)xU(1)xU(1) (1x), SO(3)xU(1) (3x), SO(3) (3x), U(1)xU(1) with N=1 SUSY (1x), U(1)xU(1) without SUSY (4x), U(1) (11x), and None (10x). Analytic conjectures (not yet proven but overwhelmingly likely correct) are given for the locations and cosmological constants of some critical points.