We present an exact scheme of bosonization for anyons (including fermions) in the two-dimensional manifold of the quantum Hall fluid. This gives every fractional quantum Hall phase of the electrons one or more dual bosonic descriptions. For interacting electrons, the statistical transmutation from anyons to bosons allows us to explicitly derive the microscopic statistical interaction between the anyons, in the form of the effective two-body and few-body interactions. This also leads to a number of unexpected topological phases of the single component bosonic fractional quantum Hall effect that may be experimentally accessible. Numerical analysis of the energy spectrum and ground state entanglement properties are carried out for simple examples.

中文翻译：

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分数量子霍尔流体中的统计相互作用和玻色子-任意子对偶性

我们提出了量子霍尔流体二维流形中任意子（包括费米子）的精确玻色化方案。这为电子的每个分数量子霍尔相位提供了一个或多个双玻色子描述。对于相互作用的电子，从任意子到玻色子的统计嬗变使我们能够以有效的双体和少体相互作用的形式明确推导出任意子之间的微观统计相互作用。这也导致单分量玻色子分数量子霍尔效应的许多意想不到的拓扑相可能通过实验获得。对简单的例子进行了能谱和基态纠缠特性的数值分析。