{"paper":{"title":"Closed string tachyon potential and $tt^*$ equation","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Sang-Jin Sin, Sunggeun Lee","submitted_at":"2004-12-21T07:25:12Z","abstract_excerpt":"Recently Dabholkar and Vafa proposed that closed string tachyon potential for non-supersymmetric orbifold $\\C/\\Z_3$ in terms of the solution of a $tt^*$ equation. We extend this result to $\\C^2/\\Z_n$ for $n=3,4,5$. Interestingly, the tachyon potentials for $n=3$ and 4 are still given in terms of the solutions of Painleve III type equation that appeared in the study of $\\C^1/\\Z_3$ with different boundary conditions. For $\\C^2/\\Z_5$ case, governing equations are of generalized Toda type. The potential is monotonically decreasing function of RG flow."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0412247","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"}