A geometric dual of F-maximization in massive type IIA

TL;DR

This paper develops a geometric dual framework for F-maximization in massive type IIA supergravity, enabling flux quantization and free-energy computation using topological data without explicit solutions.

Contribution

It introduces a novel geometric dual approach that relies solely on topological data to analyze fluxes and physical quantities in massive type IIA supergravity.

Findings

Constructed a geometric dual using equivariant localization.

Computed free-energy and operator dimensions without explicit solutions.

Applied formalism to various solution classes, including unknown explicit solutions.

Abstract

Using equivariant localization we construct a geometric dual of F-maximization in massive type IIA supergravity. Our results use only topological data to quantize the fluxes, compute the free-energy and conformal dimensions of operators in the dual field theory without the need for explicit solutions. We utilize our formalism to study various classes of solutions, including examples where an explicit solution is not known.