2025/02/04 by Charalambous, Panagiotis, Dubovsky, Sergei, Ivanov, Mikhail M. · 2 citations
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)
paper · doi:10.48550/arxiv.2502.02694
We compute scalar static response coefficients (Love numbers) of non-dilatonic black p-brane solutions in higher dimensional supergravity. This calculation revels a fine-tuning behavior similar to that of higher dimensional black holes, which we explain by ``hidden'' near-zone Love symmetries. In general, these symmetries act on equations for perturbations but they are not background isometries. The Love symmetry of charged p=0 branes is described by the usual SL(2,ℝ) algebra. For p=1 the Love symmetry has an algebraic structure SL(2,ℝ)× SL(2,ℝ). The p=0,1 Love symmetries reduce to isometries of the near-horizon Schwarzschild-AdSp+2 metric in the near-extremal finite temperature limit. They further reduce to the AdSp+2 isometries in the extremal zero-temperature limit. We call this process geometrization. In contrast, for the p>1 cases, the Love symmetry is always an SL(2,ℝ), and there is no limit in which it becomes geometric. We interpret geometrization and its absence as a consequence of the local equivalence between the Schwarzschild-AdSp+2 and pure AdSp+2 spaces for p=0,1, which does not hold for p>1. We also show that the static Love numbers of extremal p-branes are always zero regardless of spacetime dimensionality, which contrasts starkly with the non-extremal case. Overall, our results suggest that the Love symmetry is hidden by nature, and it can acquire a geometric meaning only if the background has an AdS2 or AdS3 limit.