Conformal quivers and melting molecules

Abstract

Quiver quantum mechanics describes the low energy dynamics of a system of wrapped D-branes. It captures several aspects of single and multicentered BPS black hole geometries in four-dimensional N = 2 supergravity such as the presence of bound states and an exponential growth of microstates. The Coulomb branch of an Abelian three node quiver is obtained by integrating out the massive strings connecting the D-particles. It allows for a scaling regime corresponding to a deep AdS 2 throat on the gravity side. In this scaling regime, the Coulomb branch is shown to be an SL(2, R) invariant multiparticle superconformal quantum mechanics. Finally, we integrate out the strings at finite temperature -rather than in their ground state -and show how the Coulomb branch 'melts' into the Higgs branch at high enough temperatures. For scaling solutions the melting occurs for arbitrarily small temperatures, whereas bound states can be metastable and thus long lived. Throughout the paper, we discuss how far the analogy between the quiver model and the gravity picture, particularly within the AdS 2 throat, can be taken.

De Sitter horizons & holographic liquids

“…Also, dS 2 × S 2 appears as solution of Einstein gravity with Λ > 0 [5] and hence dS 2 is directly relevant to four-dimensional de Sitter. Furthermore, recent progress in our microscopic understanding of AdS 2 holography [6,7,8,9,10,11,12,13] may guide us in constructing a microscopic model dual to the interpolating geometry.…”

“…Also, dS 2 × S 2 appears as solution of Einstein gravity with Λ > 0 [5] and hence dS 2 is directly relevant to four-dimensional de Sitter. Furthermore, recent progress in our microscopic understanding of AdS 2 holography [6,7,8,9,10,11,12,13] may guide us in constructing a microscopic model dual to the interpolating geometry.Embedding an inflating universe in an AdS d+1 spacetime with d > 1 was previously considered in the interesting works of [14,15]. There, essentially due to the Raychadhuri equation combined with the null energy condition, it was found the de Sitter region lived within the Schwarzschild-AdS black hole horizon.…”

Remarks on the Sachdev-Ye-Kitaev model

“…Further recent work in this or similar models includes [14,15,16,17,7,18,19]. See also [20,21] for a string motivated model with disorder.…”

Marginal deformations & rotating horizons

“…We study a disordered large N quantum mechanics invariant under a global SU (2) symmetry. This model resembles the Sachdev-Ye-Kitaev (SYK) model [14][15][16][17][18][19][20][21] in that it is approximately conformal in the infrared, with low energy fluctuations controlled by the Schwartzian action. In addition, this system allows for an SU (2)-breaking deformation which we show is marginal for a finite range of couplings, mimicking some of the phenomenology of charged, rotating black holes.…”