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arXiv · 1609.02560

A series of (2+1)d Stable Self-Dual Interacting Conformal Field Theories

Meng Cheng·Cenke Xu
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Abstract

Using the duality between seemingly different (2+1)d conformal field theories (CFT) proposed recently, we study a series of (2+1)d stable self-dual interacting CFTs. These CFTs can be realized (for instance) on the boundary of the (3+1)d bosonic topological insulator protected by U(1) and time-reversal symmetry, and they remain stable as long as these symmetries are preserved. When realized as a boundary system, these CFTs can be driven into anomalous fractional quantum Hall states once time-reversal is broken. We demonstrate that the newly proposed dualities allow us to study these CFTs quantitatively through a controlled calculation, without relying on a large flavor number of matter fields.

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Meng Cheng, Cenke Xu. 2016-09-08. A series of (2+1)d Stable Self-Dual Interacting Conformal Field Theories. https://doi.org/10.1103/physrevb.94.214415

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