Noncommutative geometry in string and twisted Hopf algebra of diffeomorphism

Details Noncommutative geometry in string and twisted Hopf algebra of diffeomorphism Noncommutative geometry in string and twisted Hopf algebra of diffeomorphism

Sep 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011gregr..43.2479w&link_type=abstract

General Relativity and Gravitation, Volume 43, Issue 9, pp.2479-2490

Computer Science

Noncommutative Geometry, String, Hopf Algebra, Quantization, Deformation

Scientific paper

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.

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