The Seiberg-Witten map on the fuzzy sphere

Jesper Møller Grimstrup*, Thordur Jonsson, Lárus Thorlacius

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We construct covariant coordinate transformations on the fuzzy sphere and utilize these to construct a covariant map from a gauge theory on the fuzzy sphere to a gauge theory on the ordinary sphere. We show that this construction coincides with the Seiberg-Witten map on the Moyal plane in the appropriate limit. The analysis takes place in the algebra and is independent of any star-product representation.

Original languageEnglish
Pages (from-to)1-27
Number of pages27
JournalJournal of High Energy Physics
Volume7
Issue number12
DOIs
Publication statusPublished - 1 Dec 2003

Other keywords

  • Gauge Symmetry
  • Non-Commutative Geometry
  • Space-Time Symmetries

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