Torsional monopoles and torqued geometries in gravity and condensed matter

Andrew Randono, Taylor L. Hughes

Research output: Contribution to journalArticlepeer-review


Torsional degrees of freedom play an important role in modern gravity theories as well as in condensed matter systems where they can be modeled by defects in solids. Here we isolate a class of torsion models that support torsion configurations with a localized, conserved charge that adopts integer values. The charge is topological in nature, and the torsional configurations can be thought of as torsional "monopole" solutions. We explore some of the properties of these configurations in gravity models with a nonvanishing curvature and discuss the possible existence of such monopoles in condensed matter systems. To conclude, we show how the monopoles can be thought of as a natural generalization of the Cartan spiral staircase.

Original languageEnglish (US)
Article number161102
JournalPhysical review letters
Issue number16
StatePublished - Apr 22 2011

ASJC Scopus subject areas

  • General Physics and Astronomy


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