Noncommutative geometry in string and twisted Hopf algebra of diffeomorphism

Satoshi Watamura

Research output: Contribution to journalArticlepeer-review


We discuss the Hopf algebra structure in string theory and present the twist quantization as a unified formulation of the world sheet quantization of the string and the symmetry of the target spacetime. Applying it to the case with a nonzero B-field background, we explain a method to decompose the twist into two successive twists. There are two different possibilities of decomposition: The first is a natural decomposition from the viewpoint of the twist quantization, leading to a new type of twisted Poincaré symmetry. The second decomposition reveals the relation of our formulation to the twisted Poincaré symmetry on the Moyal type noncommutative space.

Original languageEnglish
Pages (from-to)2479-2490
Number of pages12
JournalGeneral Relativity and Gravitation
Issue number9
Publication statusPublished - 2011 Sept 1


  • Deformation
  • Hopf algebra
  • Noncommutative geometry
  • Quantization
  • String

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)


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