Fermionic CFTs from topological boundaries in abelian Chern-Simons theories

• URL: http://arxiv.org/abs/2502.08084v1
• Date: Wed, 12 Feb 2025 03:10:38 GMT
• Title: Fermionic CFTs from topological boundaries in abelian Chern-Simons theories
• Authors: Kohki Kawabata, Tatsuma Nishioka, Takuya Okuda, Shinichiro Yahagi,
• Abstract summary: A quantum field theory is referred to as bosonic (non-spin) if its physical quantities are independent of the spacetime spin structure, and as fermionic (spin) if they depend on it. We explore fermionic conformal field theories (CFTs) that emerge from bosonic abelian Chern-Simons theories, playing the role of a symmetry topological field theory, by imposing topological boundary conditions.
• Score: 0.0
• License:
• Abstract: A quantum field theory is referred to as bosonic (non-spin) if its physical quantities are independent of the spacetime spin structure, and as fermionic (spin) if they depend on it. We explore fermionic conformal field theories (CFTs) that emerge from bosonic abelian Chern-Simons theories, playing the role of a symmetry topological field theory, by imposing topological boundary conditions. Our construction includes the fermionic generalization of code CFTs. When the Chern-Simons theory is associated with the root lattice of a simply laced Lie algebra, this approach yields a fermionic CFT with a level-one affine Lie algebra symmetry. As an application, we consider the Chern-Simons theories corresponding to a class of supersymmetric vertex operator algebras studied by Johnson-Freyd and classify their fermionic topological boundary conditions that give rise to supersymmetric CFTs.

Related papers

• Hamiltonian Lattice Formulation of Compact Maxwell-Chern-Simons Theory [0.602276990341246]
  We analytically solve this theory and demonstrate that the mass gap in the continuum limit matches the well-known continuum formula. This work lays the groundwork for future Hamiltonian-based simulations of Maxwell-Chern-Simons theory on classical and quantum computers.
  arXiv  Detail & Related papers  (2024-07-29T17:58:15Z)
• Interacting chiral fermions on the lattice with matrix product operator norms [37.69303106863453]
  We develop a Hamiltonian formalism for simulating interacting chiral fermions on the lattice. The fermion doubling problem is circumvented by constructing a Fock space endowed with a semi-definite norm. We demonstrate that the scaling limit of the free model recovers the chiral fermion field.
  arXiv  Detail & Related papers  (2024-05-16T17:46:12Z)
• Matter relative to quantum hypersurfaces [44.99833362998488]
  We extend the Page-Wootters formalism to quantum field theory. By treating hypersurfaces as quantum reference frames, we extend quantum frame transformations to changes between classical and nonclassical hypersurfaces.
  arXiv  Detail & Related papers  (2023-08-24T16:39:00Z)
• Quantum quenches in fractonic field theories [0.0]
  We study out-of-equilibrium dynamics caused by global quantum quenches in fractonic scalar field theories. We discuss a generalization to $mathbbZ_n$-symmetric field theories, and introduce a proper regularization.
  arXiv  Detail & Related papers  (2023-06-26T18:00:02Z)
• Non-semisimple Levin-Wen Models and Hermitian TQFTs from quantum (super)groups [23.31108679980856]
  We prove that relative Hermitian modular categories give rise to modified Hermitian WRT-TQFTs. The Hermitian theory is applied to define new pseudo-Hermitian topological phases that can be considered as non-semisimple analogs of Levin-Wen models.
  arXiv  Detail & Related papers  (2022-08-30T23:26:31Z)
• Towards a complete classification of non-chiral topological phases in 2D fermion systems [29.799668287091883]
  We argue that all non-chiral fermionic topological phases in 2+1D are characterized by a set of tensors $(Nij_k,Fij_k,Fijm,alphabeta_kln,chidelta,n_i,d_i)$. Several examples with q-type anyon excitations are discussed, including the Fermionic topological phase from Tambara-gami category for $mathbbZ_2N$.
  arXiv  Detail & Related papers  (2021-12-12T03:00:54Z)
• Galois Orbits of TQFTs: Symmetries and Unitarity [0.0]
  We study Galois actions on $2+1$D topological quantum field theories (TQFTs) We map out the Galois orbits of various classes of unitary TQFTs. We prove that all unitary Galois fixed point TQFTs can be engineered by gauging 0-form symmetries.
  arXiv  Detail & Related papers  (2021-09-06T22:35:22Z)
• Fractons and exotic symmetries from branes [0.36700088931938835]
  foliated field theories, exotic field theories, and infinite-component Chern-Simons theories can all be realized on the world-volumes of branes. In this paper, we show that foliated field theories, exotic field theories, and infinite-component Chern-Simons theories can all be realized on the world-volumes of branes.
  arXiv  Detail & Related papers  (2021-08-18T18:02:18Z)
• Topological Quantum Gravity of the Ricci Flow [62.997667081978825]
  We present a family of topological quantum gravity theories associated with the geometric theory of the Ricci flow. First, we use BRST quantization to construct a "primitive" topological Lifshitz-type theory for only the spatial metric. We extend the primitive theory by gauging foliation-preserving spacetime symmetries.
  arXiv  Detail & Related papers  (2020-10-29T06:15:30Z)
• Tensor network models of AdS/qCFT [69.6561021616688]
  We introduce the notion of a quasiperiodic conformal field theory (qCFT) We show that qCFT can be best understood as belonging to a paradigm of discrete holography.
  arXiv  Detail & Related papers  (2020-04-08T18:00:05Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.