Hopf Algebra Symmetry and String Theory(General and Mathematical Physics)

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概要

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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 Poincare symmetry is unchanged. This suggests a characterization of the symmetry: unbroken symmetries are twist invariant Hopf subalgebras, while broken symmetries are realized as twisted ones. We provide arguments that relate this twisted Hopf algebra to symmetries in path integral quantization.

• 理論物理学刊行会の論文
• 2008-10-25

著者

• WATAMURA Satoshi

  Institute of Physics, University of Tokyo

• ASAKAWA Tsuguhiko

  The Niels Bohr Institute, The Niels Bohr International Academy

• MORI Masashi

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

• Watamura Satoshi

  Institute Of Physics University Of Tokyo

• 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)
• The Quantum Group as a Symmetry : The Schrodinger Equation of the N-Dimensional q-Deformed Harmonic Oscillator

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