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Linking the Gauss-Bonnet-Chern Theorem, Essential Hopf Maps and Membrane Solitons with Exotic Spin and Statistics

  • Chia-Hsiung Tze
Part of the NATO ASI Series book series (NSSB, volume 245)

Abstract

By way of the Gauss-Bonnet-Chern theorem, we present a higher dimensional extension of Polyakov’s regularization of Wilson loops of point solitons. Spacetime paths of extended objects become hyper-ribbons with self-linking, twisting and writhing numbers. Specifically we discuss the exotic spin and statistical phase entanglements of geometric n-membrane solitons of D-dimensional KP 1 σ-models with an added Hopf-Chern-Simons term where (n, D, K) = (0, 3, C), (2, 7, H), (6, 15, Ω). They are uniquely linked to the complex (C) and quaternion (H) and octonion (Ω) division algebras.

Keywords

Wilson Loop Division Algebra Statistic Connection Topological Quantum Field Theory Spacetime Path 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1990

Authors and Affiliations

  • Chia-Hsiung Tze
    • 1
  1. 1.Department of Physics, Virginia TechInstitute of High Energy PhysicsBlacksburgUSA

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