{"record":{"author":{"account_ref":null,"orcid":null},"builds_on":[],"content_schema":"pubphys.content.revision/1","content_sha256":"70c4dd0973096daa886decf32c4e32eda3855d0910f936ac0ce84fa00b8e6afb","created":"2026-10-03T07:18:09Z","files":[],"origin":{"assisted_by":[],"kind":"seed"},"parents":["5475cf5dc5b1a72283d26dc95dc6e00d7ea4e00096a7c6492e409a1816eeb011","d8b8a12a13e4d22fb6d98cc0c36f770396d5aff8aa59ae5c27467a817762281f"],"salt":"f04117f0fdeb57a8fb49a043b9be6c7593b0efbf5a93307a5d8dae567df67325","schema":"pubphys.record/2","site":"pubphys.com","target":null,"type":"revision"},"content":{"answer_type":"mechanism","assisted_by":[],"external_id":"qft.nonlagrangian.n-cubed-dof","kind":"phenomenon","literature_status":"open","n":"1","parents":[{"note":"","parent_revision":"d8b8a12a13e4d22fb6d98cc0c36f770396d5aff8aa59ae5c27467a817762281f","relation":"special_case"}],"plain":"A stack of $N$ M5-branes behaves as if it carried about $N^3$ independent quantities, while a stack of $N$ ordinary D-branes carries about $N^2$. Which objects supply the $N^3$ is unknown.","posed_since":"1996","precise":"The thermal free energy and anomaly coefficients of the $A_{N-1}$ $(2,0)$ theory scale as $N^{3}$ at large $N$ (Klebanov and Tseytlin 1996 from supergravity). Identify the microscopic degrees of freedom responsible (for example membrane states stretched between triples of M5-branes) and derive the coefficient of $N^{3}$ from them.","problem_ref":null,"references":"","settled_by":"A microscopic count, in a definition of the theory, that reproduces the coefficient of $N^{3}$ in the anomaly or free energy.","status_note":"","title":"Microscopic origin of $N^3$ degrees of freedom on M5-branes","topic_ref":"89c4f4e8e732715fcb8a83bb2026e68b8e5c52f290604701597479d68fe09a36"},"attested":{"attestation":{"batch":null,"client_id":null,"id_token_sha256":null,"kind":"platform"},"record_hash":"59b3e7e7f014fddb4a4b6f195f7adeb5cde8b1f639e240f866ac370fe1916228","schema":"pubphys.attested/1"},"envelope":{"attested_hash":"7c3555469b27665e62db7a88a99ed2dc2d242dd45abda8787cd9abd3745b963e","platform_signature":{"key_id":"c6afc19b31429869751f06879c75cd64ea92654423d15b44be775bf1310a60da","sig":"zb8zvo34y3bGFhmw6fSMIMEgVTekA1vcwZOhS5qLSmJGT-JUfWZL2coWLJ6giGdQrl5G9FwwdRQbOB8kyDQDDg"},"schema":"pubphys.envelope/1"},"record_hash":"59b3e7e7f014fddb4a4b6f195f7adeb5cde8b1f639e240f866ac370fe1916228","leaf_index":1933}