Twist Quantization of String and B Field Background

Details Twist Quantization of String and B Field Background Twist Quantization of String and B Field Background

2008-11-11

arxiv.org/abs/0811.1638v2

JHEP 0904:117,2009

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, no figure, typos corrected, references and comments added, published version

Scientific paper

10.1088/1126-6708/2009/04/117

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 Poincare 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 Poincare symmetry. The second decomposition reveals the relation of our formulation to the twisted Poincare symmetry on the Moyal type noncommutative space.

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