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Noncommutative Mechanics, Landau Levels, Twistors, and Yang–Mills Amplitudes

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Supersymmetric Mechanics – Vol. 1

Part of the book series: Lecture Notes in Physics ((LNP,volume 698))

Abstract

These lectures fall into two distinct, although tenuously related, parts. The first part is about fuzzy and noncommutative spaces, and particle mechanics on such spaces, in other words, noncommutative mechanics. The second part is a discussion/review of the use of twistors in calculating Yang–Mills amplitudes. The point of connection between these two topics is in the realization of holomorphic maps as the lowest Landau level wave functions, or as wave functions of the Hilbert space used for the fuzzy version of the two-sphere.

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  1. City College of the CUNY, New York, NY, 10031

    V.P. Nair

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  1. Istituto Nazionale di Fisica Nucleare, Via Enrico Fermi, 40, Frascati (Rome), 00044, Italy

    Stefano Bellucci

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Nair, V. (2006). Noncommutative Mechanics, Landau Levels, Twistors, and Yang–Mills Amplitudes. In: Bellucci, S. (eds) Supersymmetric Mechanics – Vol. 1. Lecture Notes in Physics, vol 698. Springer, Berlin, Heidelberg . https://doi.org/10.1007/3-540-33314-2_3

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