{"doi":"10.1007/jhep04(2021)001","title":"SU(2/1) superchiral self-duality: a new quantum, algebraic and geometric paradigm to describe the electroweak interactions","abstract":"A bstract We propose an extension of the Yang-Mills paradigm from Lie algebras to internal chiral superalgebras. We replace the Lie algebra-valued connection one-form A , by a superalgebra-valued polyform $$ \\tilde{A} $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mover> <mml:mi>A</mml:mi> <mml:mo>˜</mml:mo> </mml:mover> </mml:math> mixing exterior-forms of all degrees and satisfying the chiral self-duality condition $$ \\tilde{A} =^{\\ast }{\\tilde{A}}_{\\chi } $$ <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"> <mml:mover> <mml:mi>A</mml:mi> <mml:mo>˜</mml:mo> </mml:mover> <mml:mo>=</mml:mo> <mml:msup> <mml:mspace/> <mml:mo>∗</mml:mo> </mml:msup> <mml:msub> <mml:mover> <mml:mi>A</mml:mi> <mml:mo>˜</mml:mo> </mml:mover> <mml:mi>χ</mml:mi> </mml:msub> </mml:math> , where χ denotes the superalgebra grading operator. This superconnection contains Yang-Mills vectors valued in the even Lie subalgebra, together with scalars and self-dual tensors valued in the odd module, all coupling only to the charge parity CP-positive Fermions. The Fermion quantum loops then induce the usual Yang-Mills-scalar Lagrangian, the self-dual Avdeev-Chizhov propagator of the tensors, plus a new vector-scalar-tensor vertex and several quartic terms which match the geometric definition of the supercurvature. Applied to the SU(2 / 1) Lie-Kac simple superalgebra, which naturally classifies all the elementary particles, the resulting quantum field theory is anomaly-free and the interactions are governed by the super-Killing metric and by the structure constants of the superalgebra.","journal":"Journal of High Energy Physics","year":2021,"id":188803,"datarank":0.0,"base_score":0.0,"endowment":0.0,"self_citation_contribution":0.0,"citation_network_contribution":0.0,"self_endowment_contribution":0.0,"citer_contribution":0.0,"corpus_percentile":null,"corpus_rank":null,"citation_count":15,"citer_count":0,"citers_with_citation_signal":0,"citers_with_endowment":0,"datacite_reuse_total":0,"is_dataset":false,"is_dataset_confidence":0.9556,"is_data_producer":false,"deposit_databanks":null,"is_oa":true,"file_count":0,"downloads":0,"has_version_chain":false,"published_date":"2021-01-01","fair_score":null,"fair_percentile":null,"algorithm_id":"datarank_citation_only_1hop_v6","ranking_scope":"data_only","authors":[{"id":750685,"name":"Peter Jarvis","orcid":null,"position":1,"is_corresponding":false},{"id":353586,"name":"Jean Thierry‐Mieg","orcid":"0000-0002-0396-6789","position":0,"is_corresponding":true}],"reference_count":19,"raw_metadata":null,"created_at":"2026-07-18T23:49:10.350554Z","pmid":"35342281","pmcid":null,"fwci":null,"citation_percentile":null,"influential_citations":0,"oa_status":null,"license":null,"views":0,"total_file_size_bytes":0,"version_count":0,"fair_f":null,"fair_a":null,"fair_i":null,"fair_r":null,"fair_zscore":null,"fair_rationale":null,"fair_model":null,"fair_agent_version":null,"fair_fulltext_source":null,"fair_has_llm":null,"fair_computed_at":null,"clinical_trials":[],"software_tools":[],"db_accessions":[],"linked_datasets":[],"topics":[]}