On BPS bounds in D=4 N=2 gauged supergravity

Abstract

We determine the BPS bounds in minimal gauged supergravity in four spacetime dimensions. We concentrate on asymptotically anti-de Sitter (AdS) spacetimes, and find that there exist two disconnected BPS ground states of the theory, depending on the presence of magnetic charge. Each of these ground states comes with a different superalgebra and a different BPS bound, which we derive. As a byproduct, we also demonstrate how the supersymmetry algebra has a built-in holographic renormalization method to define finite conserved charges.

23 pages; v2 typos corrected, published version; v3 typos in Eqs. (3.6) and (3.31) corrected

References in corpus (5)

• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Central Charges in Extreme Black Hole/CFT Correspondence
• Nernst branes in gauged supergravity
• Witten-Nester Energy in Topologically Massive Gravity
• Magnetic charges in the AdS(4) superalgebra osp(4|2)

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