A quantum mechanics for magnetic horizons

Abstract

We construct an $\mathcal{N}=2$ supersymmetric gauged quantum mechanics, by starting from the 3d Chern-Simons-matter theory holographically dual to massive Type IIA string theory on AdS${}_4\times S^6$, and Kaluza-Klein reducing on $S^2$ with a background that is dual to the asymptotics of static dyonic BPS black holes in AdS${}_4$. The background involves a choice of gauge fluxes, that we fix via a saddle-point analysis of the 3d topologically twisted index at large $N$. The ground-state degeneracy of the effective quantum mechanics reproduces the entropy of BPS black holes, and we expect its low-lying spectrum to contain information about near-extremal horizons. Interestingly, the model has a large number of statistically-distributed couplings, reminiscent of SYK models.

34 pages plus appendices; v2: refs added; v3: published version

References in corpus (7)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Witten Index and Wall Crossing
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Logarithmic Corrections to Entropy of Magnetically Charged AdS4 Black Holes
• Toward Microstate Counting Beyond Large N in Localization and the Dual One-loop Quantum Supergravity
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• The joy of factorization at large $N$: five-dimensional indices and AdS black holes

Cited by in corpus (7)

• Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs
• How to Build a Black Hole out of Instantons
• Near-extremal dynamics away from the horizon
• $\mathcal{N}=2$ SYK models with dynamical bosons and fermions
• Bosonic near-CFT${}_1$ models from Fock-space fluxes
• Universal Cardy-Like Behavior of 3D Partition Functions from Supersymmetric Localization
• Gauging the complex SYK model