Hopf reductions, fluxes and branes

TL;DR

This paper explores the relationships between fractional brane solutions across IIA, IIB, and M-theory using reductions, T-dualities, and liftings, revealing phantom branes that materialize through specific geometric processes.

Contribution

It introduces a novel framework connecting various fractional brane solutions via geometric transformations and uncovers phantom branes that emerge through untwisting and Hopf-reduction.

Findings

Identification of phantom branes not supported by geometry

Connections established between IIA, IIB, and M-theory brane solutions

Demonstration of brane materialization through geometric transformations

Abstract

We use a series of reductions, T-dualities and liftings to construct connections between fractional brane solutions in IIA, IIB and M-theory. We find a number of phantom branes that are not supported by the geometry, however materialize upon untwisting and/or Hopf-reduction.