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2008

Hopf Algebra Symmetry and String Theory

Asakawa, Tsuguhiko, Mori, Masashi, Watamura, Satoshi

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We investigate the Hopf algebra structure in string worldsheet theory and give a unified formulation of the quantization of string and the space-time symmetry.

We reformulate the path integral quantization of string as a Drinfeld twist at the worldsheet level.
The coboundary relation shows that the Drinfeld twist defines a module algebra which is equivalent to operators with normal ordering.
Upon applying the twist, the space-time diffeomorphism is deformed into a twisted Hopf algebra, while the Poincar\'e symmetry is unchanged.

Hopf Algebra Symmetry and String Theory · Around

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