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.

arXiv comment34 pages plus appendices; v2: refs added; v3: published version

References in corpus (32)

• Microscopic Origin of the Bekenstein-Hawking Entropy
• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Gapless Spin-Fluid Ground State in a Random Quantum Heisenberg Magnet
• Comments on the Sachdev-Ye-Kitaev model
• Phases of $N=2$ Theories In Two Dimensions
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Supergravity description of field theories on curved manifolds and a no go theorem
• Black hole microstates in AdS${}_4$ from supersymmetric localization
• A topologically twisted index for three-dimensional supersymmetric theories
• Multi-Matrix Models and Tri-Sasaki Einstein Spaces
• Supersymmetric AdS_4 black holes and attractors
• The statistical mechanics of near-extremal black holes
• Witten Index and Wall Crossing
• Comments on twisted indices in 3d supersymmetric gauge theories
• Aspects of 3d N=2 Chern-Simons-Matter Theories
• The string origin of dyonic $\mathcal{N}=8$ supergravity and its simple Chern-Simons duals
• Exact microstate counting for dyonic black holes in AdS4
• A Universal Counting of Black Hole Microstates in AdS${}_4$
• A universal Schwarzian sector in two-dimensional conformal field theories
• Large $N$ matrix models for 3d $\mathcal{N}=2$ theories: twisted index, free energy and black holes
• Disordered Quivers and Cold Horizons
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Black hole entropy in massive Type IIA
• Topologically twisted indices in five dimensions and holography
• A gravity interpretation for the Bethe Ansatz expansion of the $\mathcal{N}=4$ SYM index
• 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
• BPS black hole horizons from massive IIA
• BPS black holes from massive IIA on S${}^6$
• Phases of $\mathcal{N}=2$ Sachdev-Ye-Kitaev models
• The joy of factorization at large $N$: five-dimensional indices and AdS black holes
• Partial Gauge Fixing and Equivariant Cohomology

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