$\mathcal{I}$-extremization with baryonic charges

Abstract

We propose an entropy function for AdS${}_4$ BPS black holes in M-theory with general magnetic charges, resolving in particular a long-standing puzzle about baryonic charges. The entropy function is constructed from a gravitational block defined solely in terms of topological data of the internal manifold. We show that the entropy of twisted black holes can always be reformulated as an $\mathcal{I}$-extremization problem -- even in cases where existing large-$N$ field theory computations fail to provide an answer. Furthermore, we correctly reproduce the entropy for a class of known black holes with purely baryonic magnetic charges. Our results offer both a conjecture for the general gravitational block for AdS${}_4$ black holes in M-theory and a prediction for the large-$N$ limit of several partition functions whose saddle points have yet to be found.

6 pages

References in corpus (42)

• Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
• Black hole microstates in AdS${}_4$ from supersymmetric localization
• A topologically twisted index for three-dimensional supersymmetric theories
• Sasaki-Einstein Manifolds and Volume Minimisation
• The Geometric Dual of a-maximisation for Toric Sasaki-Einstein Manifolds
• Multi-Matrix Models and Tri-Sasaki Einstein Spaces
• Two-dimensional SCFTs from wrapped branes and c-extremization
• Holomorphic Blocks in Three Dimensions
• Exact two-dimensional superconformal R-symmetry and c-extremization
• Exact microstate counting for dyonic black holes in AdS4
• Flow equations and attractors for black holes in N = 2 U(1) gauged supergravity
• Factorisation of N = 2 theories on the squashed 3-sphere
• Brane Tilings and M2 Branes
• Chiral flavors and M2-branes at toric CY4 singularities
• 3D superconformal theories from Sasakian seven-manifolds: new nontrivial evidences for AdS_4/CFT_3
• A Universal Counting of Black Hole Microstates in AdS${}_4$
• Accelerating Black Holes and Spinning Spindles
• Large $N$ matrix models for 3d $\mathcal{N}=2$ theories: twisted index, free energy and black holes
• The large N limit of quiver matrix models and Sasaki-Einstein manifolds
• Holographic microstate counting for AdS${}_4$ black holes in massive IIA supergravity
• Large $N$ topologically twisted index: necklace quivers, dualities, and Sasaki-Einstein spaces
• Black hole entropy in massive Type IIA
• BPS Black Holes in AdS4 from M-theory
• Gluing gravitational blocks for AdS black holes
• Topologically twisted indices in five dimensions and holography
• A geometric dual of $c$-extremization
• All homogeneous N=2 M-theory truncations with supersymmetric AdS4 vacua
• Superconformal indices at large $N$ and the entropy of AdS${}_5$ $\times$ SE${}_5$ black holes
• Universal 3d Cardy Block and Black Hole Entropy
• Mass-deformed ABJM and Black Holes in AdS${}_4$
• Geometry of $\mathcal{I}$-extremization and black holes microstates
• 6D attractors and black hole microstates
• The Large N Limit of Toric Chern-Simons Matter Theories and Their Duals
• Equivariant localization and holography
• Toric geometry and the dual of $c$-extremization
• Proving the equivalence of $c$-extremization and its gravitational dual for all toric quivers
• Black holes with baryonic charge and $\mathcal{I}$-extremization
• Free Energy vs Sasaki-Einstein Volume for Infinite Families of M2-Brane Theories
• Aspects of AdS${}_2$ classification in M-theory: Solutions with mesonic and baryonic charges
• Microstates of accelerating and supersymmetric AdS${}_4$ black holes from the spindle index
• 4d F(4) gauged supergravity and black holes of class $\mathcal{F}$
• Uplifting dyonic AdS${}_4$ black holes on seven-dimensional Sasaki-Einstein manifolds