Wess-Zumino-Witten Model and Noether's Theorem

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概要

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• Wess-Zumino-Witten model based on a compact Lie group G has gauge and conformal symmetry. The gauge symmetry means that we have an [numerical formula] action on the space of G-valued fields, under which a Lagrangian density "L" is invariant. The Poisson bracket of the Noether charges for the LG-action gives the Kac-Moody relation. As the double quotations in "L" suggest, the density is not defined globally. In this note, we give a formalism (charged symplectic structure) suitable to such a situation. We also have Noether's theorem with a formula, (3.26), yielding the Kac-Moody cocycle term only knowing the form of the LG-action on the space of fields.

• 明治大学の論文

著者

• 林 喜代司

  Izumi Campus, Meiji University

関連論文

• Wess-Zumino-Witten Model and Noether's Theorem
• Symplectic Structure of CFT of Free Bosons

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