Dual doubled geometry

TL;DR

This paper investigates doubled geometry through solitonic branes, revealing a dual wrapping rule linked to Kaluza-Klein monopoles and proposing the existence of generalized monopoles in string theory.

Contribution

It introduces a dual wrapping rule for solitonic branes in doubled geometry and suggests the existence of generalized Kaluza-Klein monopoles beyond standard models.

Findings

Dual wrapping rule for solitonic branes identified

Extended rule applies to cases with ≤2 transverse directions

Proposes existence of generalized Kaluza-Klein monopoles

Abstract

We probe doubled geometry with dual fundamental branes, i.e. solitons. Restricting ourselves first to solitonic branes with more than two transverse directions we find that the doubled geometry requires an effective wrapping rule for the solitonic branes which is dual to the wrapping rule for fundamental branes. This dual wrapping rule can be understood by the presence of Kaluza-Klein monopoles. Extending our analysis to supersymmetric solitonic branes with less than or equal to two transverse directions we show that such solitons are precisely obtained by applying the same dual wrapping rule to these cases as well. This extended wrapping rule can not be explained by the standard Kaluza-Klein monopole alone. Instead, it suggests the existence of a class of generalized Kaluza-Klein monopoles in ten-dimensional string theory.