Work

$$ \mathcal{I} $$-extremization for AdS4 black holes: master volume, free energy, and baryonic charges

Year: 2025

Type: article

Abstract: A bstract In a previous paper, we proposed an entropy function for AdS 4 BPS black holes in M-theory with general magnetic charges, resolving a long-standing puzzle about baryonic charges in three-dimensional holography and offering a prediction for the large- N limit of several partition functions whose saddle points have yet to be found. The entropy function is constructed from the master volume of the internal manifold. In this paper, we prove that the entropy of a general class of black holes based on toric geometry can indeed be reformulated as an $$ \mathcal{I} $$ I -extremization problem, and we provide a set of examples. As an aside, we also simplify existing proofs of the equivalence between a -, c -, and F -extremizations and their gravitational duals.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep08(2025)100

Authors: Seyed Morteza Hosseini, Alberto Zaffaroni

Institutions: Queen Mary University of London, Istituto Nazionale di Fisica Nucleare, Sezione di Milano Bicocca, University of Milano-Bicocca

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: UK Research and Innovation, Ministero dell’Istruzione, dell’Università e della Ricerca, HORIZON EUROPE Framework Programme

Awards: G2062177588, G2788492189