Twist quantization of string and B field background

Tsuguhiko Asakawa, Masashi Mori, Satoshi Watamura

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


In a previous paper, we investigated the Hopf algebra structure in string theory and gave a unified formulation of the quantization of the string and the space-time symmetry. In this paper, this formulation is applied to the case with a nonzero B-field background, and the twist of the Poincaré symmetry is studied. The Drinfeld twist accompanied by the B-field background gives an alternative quantization scheme, which requires a new normal ordering. In order to obtain a physical interpretation of this twisted Hopf algebra structure, we propose a method to decompose the twist into two successive twists and we give 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
Article number117
JournalJournal of High Energy Physics
Issue number4
Publication statusPublished - 2009
Externally publishedYes


  • Bosonic strings
  • Non-commutative geometry
  • Quantum groups

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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