Abstract
We study the backreaction of smeared and localised anti M2-branes placed at the tip of the CGLP background. To this end we derive a Smarr relation for backreacted antibranes at zero and finite temperature. For extremal antibranes we show that if smeared they cannot have regular horizons, whereas localised M2-branes can potentially be regular when polarised into M5-branes, in agreement with the probe result of Klebanov and Pufu. We further discuss antibranes at finite temperature and argue that localised antibrane solutions with regular horizons are not excluded.
Highlights
Where the sign reflects the charge of the brane
Brane/flux set-ups have already proved useful in string cosmology [1, 2], the black hole microstate program [3, 4] and dynamical supersymmetry breaking in holographic field theories [5,6,7,8,9]
We followed a similar procedure as in [34, 40] where the supergravity equations of motion were combined to find a constraint on the boundary conditions of the solutions at the antibrane location. We showed that these constraints arise when trying to satisfy the Smarr relation (1.3)
Summary
We review the smooth background of [11] which is a warped product of R1,2 and a Stenzel manifold. Let us consider Calabi-Yau hypersurfaces in Cn+1 with a conical singularity at the origin: Cn = z ∈ Cn+1 : zizi = 0. For n ≥ 3, the base spaces of the cones are Sasaki-Einstein manifolds of dimension 2n − 1 and can be identified by intersecting Cn with the unit sphere in Cn+1: B2n−1 = z ∈ Cn : zizi = 1. The explicit metrics can be derived using a Kahler potential K which only depends on the variable ρ = zizi ,. After solving this equation the metric can be written down n+1 n+1. We will focus exclusively on n = 4 with c = 9/4 3 for which an explicit form of the metric can be found in [13].
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