For toric AdS4 black holes, the geometric entropy extremization of Gauntlett, Martelli and Sparks is shown to be equivalent to I-extremization with a generalized free energy built from the master volume, including baryonic charges.
$\mathcal{I}$-extremization with baryonic charges
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
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.
fields
hep-th 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
$\mathcal{I}$-Extremization for AdS$_4$ Black Holes: Master Volume, Free Energy, and Baryonic Charges
For toric AdS4 black holes, the geometric entropy extremization of Gauntlett, Martelli and Sparks is shown to be equivalent to I-extremization with a generalized free energy built from the master volume, including baryonic charges.