2001Physical Review LettersOpen access

Level Quantization for the Noncommutative Chern-Simons Theory

V. P. Nair, Alexios P. Polychronakos

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Abstract

We show that the coefficient of the three-dimensional Chern-Simons action on the noncommutative plane must be quantized. Similar considerations apply in other dimensions as well.

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What this paper is about

We show that the coefficient of the three-dimensional Chern-Simons action on the noncommutative plane must be quantized. Similar considerations apply in other dimensions as well.

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OpenAlex reports 104 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We show that the coefficient of the three-dimensional Chern-Simons action on the noncommutative plane must be quantized. Similar considerations apply in other dimensions as well.

Key concepts: Noncommutative geometry, Chern–Simons theory, Noncommutative quantum field theory, Quantization (signal processing), Noncommutative algebraic geometry, Mathematical physics, Physics, Quantum mechanics

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