{"total":11,"items":[{"citing_arxiv_id":"2606.28858","ref_index":52,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Axions on de Sitter space","primary_cat":"hep-th","submitted_at":"2026-06-27T10:53:09+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Quantization of axions on dS_D yields Hilbert space H = L^2(S^1) ⊗ F with zero-mode U(1) charge, producing non-dS-invariant charged sectors and Hadamard Wightman functions that become asymptotically invariant.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.12358","ref_index":37,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Lattice chiral non-Abelian gauge symmetry via bosonization","primary_cat":"hep-lat","submitted_at":"2026-06-10T17:29:56+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":6.0,"formal_verification":"none","one_line_summary":"Proposes a bosonized lattice construction of anomaly-free 2D non-Abelian chiral gauge theories in which left and right bulk contributions cancel at finite spacing when quadratic indices match.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2606.06582","ref_index":23,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Fun with Graph States: Nonlocal Bell Pairs and the Arf Invariant","primary_cat":"quant-ph","submitted_at":"2026-06-04T18:00:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Graph-state inner products are governed by the F2-rank of the adjacency matrix and the Arf invariant, yielding a nonlocal Bell-pair factorization of the Hilbert space.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2605.13961","ref_index":96,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"A Twist on Scattering from Defect Anomalies","primary_cat":"hep-th","submitted_at":"2026-05-13T18:00:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Defect 't Hooft anomalies trap charges at symmetry-line junctions and thereby drive categorical scattering into twist operators.","context_count":1,"top_context_role":"method","top_context_polarity":"use_method","context_text":"Fermion parityAnother key case is that of a fermionic system, in which the fermion parity symmetry is preserved by the defect with a nontrivial defect anomaly given by the Arf-phase: α= Arf.(B.5) The computation is similar.Fbreaks (−) FL ×(−) FR to the diagonal subgroup, with an Arf SPT. The bosonization of this system is Zbos[B] = Arf(B·ρ)Arf(ρ) X b Zf[b]eiπ R bB .(B.6) Using that [96]: X b Arf(b·ρ)e iπ R b∪B = Arf(B·ρ)Arf(ρ),(B.7) and Arf((A+B)·ρ) = Arf(A·ρ)Arf(B·ρ)e iπ R AB .(B.8) We find: ZFbos[AL, AR] = X a Arf(a·ρ)e iπ R a(AL+AR)Arf(AL ·ρ)Arf(A R ·ρ) =e iπ R ALAR = SPTα . (B.9) Thus bosonizing a fermionic defect with an Arf defect anomaly gives a symmetry reflectingZ2 ×Z2 defect with defect anomalyα=iπ R ALAR. Both examples are known from previous studies of non-invertible symmetries:"},{"citing_arxiv_id":"2605.13952","ref_index":35,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Non-Invertible Symmetries and Boundaries for Two-Dimensional Fermions","primary_cat":"hep-th","submitted_at":"2026-05-13T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Z_k symmetries from Pythagorean triples in two free Weyl fermions yield non-invertible defects that generate all U(1)^2-preserving boundaries for two Dirac fermions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2604.09503","ref_index":29,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Classification of 2D Fermionic Systems with a $\\mathbb Z_2$ Flavor Symmetry","primary_cat":"hep-th","submitted_at":"2026-04-10T17:15:38+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":7.0,"formal_verification":"none","one_line_summary":"Classification of 2D fermionic systems with Z2 flavor symmetry yields 16 consistent superfusion categories labeled by anomaly invariants (ν_W, ν_Z, ν_WZ).","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"In each copy of 2d Majorana fermion, there is a (−1)FL symmetry, together with the univeral (−1)F symmetry, which acts on these chracters as (−1)FL :χ 0 →χ 0 , χ 1 2 → −χ 1 2 , C.1 Majorana Fermion as Fermionization of Ising CFT: Duality N-line from fermionic Ising It has been known that the Majorana fermion can be viewed as ferminzation of Ising CFT [29]. In this subsection, we establish a relation between the Kramers-Wannier duality line in the bosonic Ising and various TDLs in the fermionized one on the level of the partition functions. First, recall that the fermionic theory can be obtained by stacking a Kitaev chain onto the Ising model and then gauging the diagonalZ 2 ofZ 2,b ×Z 2,f, where the subscripts \"b\""},{"citing_arxiv_id":"2602.11696","ref_index":113,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Symmetry Spans and Enforced Gaplessness","primary_cat":"cond-mat.str-el","submitted_at":"2026-02-12T08:22:02+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":8.0,"formal_verification":"none","one_line_summary":"Symmetry spans enforce gaplessness when a symmetry E embedded into two larger symmetries C and D has no compatible gapped phase that restricts from both.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"B108, 214429 (2023), arXiv:2301.07899 [cond-mat.str-el]. [111] Andreas Karch, David Tong, and Carl Turner, \"A Web of 2d Dualities:Z 2 Gauge Fields and Arf Invariants,\" SciPost Phys.7, 007 (2019), arXiv:1902.05550 [hep-th]. [112] Kansei Inamura, \"Fermionization of fusion category symmetries in 1+1 dimensions,\" JHEP10, 101 (2023), arXiv:2206.13159 [cond-mat.str-el]. [113] Lakshya Bhardwaj, Kansei Inamura, and Apoorv Ti- wari, \"Fermionic non-invertible symmetries in (1+1)d: Gapped and gapless phases, transitions, and symmetry TFTs,\" SciPost Phys.18, 194 (2025), arXiv:2405.09754 [hep-th]. [114] Anton Kapustin, Ryan Thorngren, Alex Turzillo, and Zitao Wang, \"Fermionic Symmetry Protected Topolog- ical Phases and Cobordisms,\" JHEP12, 052 (2015),"},{"citing_arxiv_id":"2602.09105","ref_index":116,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Generalized Families of QFTs","primary_cat":"hep-th","submitted_at":"2026-02-09T19:00:17+00:00","verdict":null,"verdict_confidence":null,"novelty_score":null,"formal_verification":null,"one_line_summary":null,"context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"mod-2 index of the Dirac operatorIcoupled to the associatedZ 2-gauge field: Arf[a·ρ] =I[a·ρ]. (3.54) Hereρis a base choice of spin structure anda·ρis the spin structure whereρis twisted by theZ 2 gauge fieldaand the mod-2 index satisfies the condition I[(a+b)·ρ] =I[a·ρ] +I[b·ρ] +I[ρ] + Z a∪bmod 2 .(3.55) For oriented manifoldM, this implies 1p |H1(M;Z 2)| X a (−1)I[a·ρ]+I[ρ]+ R a∪b = (−1)I[b·ρ] . (3.56) - 22 - See [116] for more details. The Kramers-Wannier transformation originates from theZ c 2 chiral transformation in the Majorana fermion description: χ7− →iγ 3χ . (3.57) TheZ c 2 has an ABJ-type mixed anomaly with the gaugedZ F 2 fermion number symmetry, so the chiral transformation generates an anomalous shift of the action ∆S=πiI[a·ρ]. (3.58) The partition function of the Majorana fermion withZ F"},{"citing_arxiv_id":"2509.12305","ref_index":19,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Phases of 2d Gauge Theories and Symmetric Mass Generation","primary_cat":"hep-th","submitted_at":"2025-09-15T18:00:00+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Abelian 2d gauge theories show rich phase structure with c=1 and c=1/2 critical lines; chiral versions realize symmetric mass generation for fermions.","context_count":0,"top_context_role":null,"top_context_polarity":null,"context_text":null},{"citing_arxiv_id":"2508.08639","ref_index":120,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"Extending fusion rules with finite subgroups: A general construction of $Z_{N}$ extended conformal field theories and their orbifoldings","primary_cat":"hep-th","submitted_at":"2025-08-12T05:05:35+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":5.0,"formal_verification":"none","one_line_summary":"Constructs Z_N extended fusion rings and modular partition functions for nonanomalous subgroups, extending to multicomponent systems and orbifoldings in CFTs.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"Rev. B100(2019) 075105 [1902.06584]. [118] Y. Fukusumi and S. Iino,Open spin chain realization of a topological defect in a one-dimensional Ising model: Boundary and bulk symmetry,Phys. Rev. B104(2021) 125418 [2004.04415]. [119] A. Kapustin and R. Thorngren,Fermionic SPT phases in higher dimensions and bosonization,JHEP 10(2017) 080 [1701.08264]. [120] A. Karch, D. Tong and C. Turner,A Web of 2d Dualities:Z 2 Gauge Fields and Arf Invariants, SciPost Phys.7(2019) 007 [1902.05550]. [121] F. Apruzzi, F. Bonetti, I. Garc' ıa Etxebarria, S.S. Hosseini and S. Schafer-Nameki,Symmetry TFTs from String Theory,Commun. Math. Phys.402(2023) 895 [2112.02092]. [122] M. Barkeshli, P. Bonderson, M. Cheng and Z."},{"citing_arxiv_id":"2308.00747","ref_index":166,"ref_count":1,"confidence":0.9,"is_internal_anchor":false,"paper_title":"What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries","primary_cat":"hep-th","submitted_at":"2023-08-01T18:00:01+00:00","verdict":"UNVERDICTED","verdict_confidence":"LOW","novelty_score":3.0,"formal_verification":"none","one_line_summary":"A survey of non-invertible symmetries with constructions in the Ising model and applications to neutral pion decay and other systems.","context_count":1,"top_context_role":"background","top_context_polarity":"background","context_text":"To obtain a bosonic CFT from a fermionic CFT, we gauge (−1)F to sum over the spin structures, so that the resulting theory is independent of the spin structures. In the string theory literature, this is known as the GSO projection [180, 177].18 After we gauge the(−1)F symmetry, it is no longer a global symmetry in the resulting bosonic CFT. Instead, we have a fermionic version of the dual Z2 symmetry [166, 30, 32]. The partition function of the resulting bosonic CFT B coupled to the background gauge field A for the dual Z2 global symmetry is ZB[A] = 1 2g (−1)Arf[A+ρ]+Arf[ρ] X a∈H1(Σg,Z2) ZF[a + ρ](−1) H a∪A . (3.32) Note that this fermionic dualZ2 symmetry (which is free of anomaly) is different from the bosonic version in (3.31) because of the counterterm (−1)Arf[A+ρ]+Arf[ρ]."}],"limit":50,"offset":0}