A BMS-invariant free fermion model

Abstract

We used the Cartan formalism to construct fermionic models that are compatible with Galilean or Carrollian symmetry and rigid scaling symmetry. The free Carrollian fermion model exhibits conformal Carrollian symmetry which is isomorphic to the asymptotic symmetries for flat spacetime in three dimensions, namely the BMS${}_3$ symmetry. We performed canonical quantization to this free BMS fermion model, discussed both the highest weight vacuum and the induced vacuum, calculated the correlation functions and the torus partition function. Finally we constructed $\mathcal{N}=2$ supersymmetric theories by combining the free fermion model and the free scalar model.

66 pages;v2, minor revision: typos correted and some statement rephrased

References in corpus (38)

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• Conformal Carroll groups and BMS symmetry
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• Galilean Conformal Algebras and AdS/CFT
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• Carroll covariant scalar fields in two dimensions
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• Nonlinear automorphism of the conformal algebra in 2D and continuous $\sqrt{T\bar{T}}$ deformations
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Cited by in corpus (11)

• Quantization of Carrollian conformal scalar theories
• Flat Bands and Compact Localised States: A Carrollian roadmap
• Irrelevant and marginal deformed BMS field theories
• Bulk Reconstruction of Scalar Excitations in Flat${}_3$/CCFT${}_2$ and the Flat Limit from (A)dS${}_3$/CFT${}_2$
• Quantization of Carrollian fermions
• Carroll spinors
• The BRST quantisation of chiral BMS-like field theories
• Universal sectors of two-dimensional Carrollian CFTs
• Thermal Corrections to Rényi Entropy in BMS Field Theory
• Character of the highest weight module of BMS algebra realized on codimensional-two boundary
• Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy