{"paper":{"title":"SL(2,R) Invariance of Non-Linear Electrodynamics Coupled to An Axion and a Dilaton","license":"","headline":"","cross_cats":["gr-qc"],"primary_cat":"hep-th","authors_text":"D A Rasheed, G W Gibbons","submitted_at":"1995-09-25T22:30:44Z","abstract_excerpt":"The most general Lagrangian for non-linear electrodynamics coupled to an axion $a$ and a dilaton $\\phi$ with $SL(2,\\mbox{\\elevenmsb R})$ invariant equations of motion is $$ -\\half\\left(\\nabla\\phi\\right)^2 - \\half e^{2\\phi}\\left(\\nabla a\\right)^2 + \\fraction{1}{4}aF_{\\mu\\nu}\\star F^{\\mu\\nu} + L_{\\rm inv}(g_{\\mu\\nu},e^{-\\frac{1}{2}\\phi}F_{\\rho\\sigma}) $$ where $L_{\\rm inv}(g_{\\mu\\nu},F_{\\rho\\sigma})$ is a Lagrangian whose equations of motion are invariant under electric-magnetic duality rotations. In particular there is a unique generalization of Born-Infeld theory admitting $SL(2,\\mbox{\\elevenm"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/9509141","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/9509141/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"}