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

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.

7 pages

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Cited by in corpus (5)

• Duality between the deconfined quantum-critical point and the bosonic topological transition
• More Abelian Dualities in 2+1 Dimensions
• 4D beyond-cohomology topological phase protected by $C_2$ symmetry and its boundary theories
• A correspondence between the free and interacting field theories
• Self-duality protected multi-criticality in deconfined quantum phase transitions