Quantization of charges and fluxes in warped Stenzel geometry

TL;DR

This paper investigates flux quantization in warped Stenzel geometries, clarifying the roles of different charge notions and their relation to brane configurations, discrete torsion, and gauge transformations.

Contribution

It provides a detailed analysis of flux quantization, discrete torsion, and charge shifts in warped Stenzel geometries from both type IIA and M-theory perspectives, highlighting the role of fractional branes.

Findings

Discrete torsion measured by Page charge relates to fractional branes.

Large gauge transformations shift Page charges, connecting to brane creation effects.

Consistent descriptions of fluxes in large and small radius limits across theories.

Abstract

We examine the quantization of fluxes for the warped Stiefel cone and Stenzel geometries and their orbifolds, and distinguish the roles of three related notions of charge: Page, Maxwell, and brane. The orbifolds admit discrete torsion, and we describe the associated quantum numbers which are consistent with the geometry in its large radius and small radius limits from both the type IIA and the M-theory perspectives. The discrete torsion, measured by a Page charge, is related to the number of fractional branes. We relate the shifts in the Page charges under large gauge transformations to the Hanany-Witten brane creation effect.