Twist quantization of string and B field background

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概要

• 論文の詳細を見る

• 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.

• Institute of Physics Publishingの論文

著者

• WATAMURA Satoshi

  Institute of Particle Theory and Cosmology,Department of Physics, Graduate School of Science, Tohoku University

• MORI Masashi

  Institute of Particle Theory and Cosmology,Department of Physics, Graduate School of Science, Tohoku University

関連論文

• Gauge Boson Condensation and Symmetry Breaking Patterns in Non-Abelian Gauge Theories
• Twist quantization of string and B field background
• Hopf Algebra Symmetry and String Theory(General and Mathematical Physics)

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