{"paper":{"title":"Self-dual Quantum Electrodynamics as Boundary State of the three dimensional Bosonic Topological Insulator","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.str-el","authors_text":"Cenke Xu, Yi-Zhuang You","submitted_at":"2015-10-20T20:05:20Z","abstract_excerpt":"Inspired by the recent developments of constructing novel Dirac liquid boundary states of the $3d$ topological insulator, we propose one possible $2d$ boundary state of the $3d$ bosonic symmetry protected topological state with $U(1)_e \\rtimes Z_2^T \\times U(1)_s $ symmetry. This boundary theory is described by a $(2+1)d$ quantum electrodynamics (QED$_3$) with two flavors of Dirac fermions ($N_f = 2$) coupled with a noncompact U(1) gauge field: $ \\mathcal{L} = \\sum_{j = 1}^2 \\bar{\\psi}_j \\gamma_\\mu (\\partial_\\mu - i a_\\mu) \\psi_j - i A^{s}_\\mu \\bar{\\psi_i} \\gamma_\\mu \\tau^z_{ij} \\psi_j + \\frac"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1510.06032","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}