Matrix Norms, BPS Bounds and Marginal Stability in N=8 Supergravity

Details Matrix Norms, BPS Bounds and Marginal Stability in N=8 Supergravity Matrix Norms, BPS Bounds and Marginal Stability in N=8 Supergravity

2010-09-16

arxiv.org/abs/1009.3251v3

JHEP 1012:038,2010

Physics

High Energy Physics

High Energy Physics - Theory

1+15 pages; v2: some new formulas added and misprints corrected; v3: typos fixed, various refinements, Sec. 2.4 rewritten; to

Scientific paper

10.1007/JHEP12(2010)038

We study the conditions of marginal stability for two-center extremal black holes in N-extended supergravity in four dimensions, with particular emphasis on the N=8 case. This is achieved by exploiting triangle inequalities satisfied by matrix norms. Using different norms and relative bounds among them, we establish the existence of marginal stability and split attractor flows both for BPS and some non-BPS solutions. Our results are in agreement with previous analysis based on explicit construction of multi-center solutions.

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