Tensile Bosonic Scope And Frontiers

The $D=26$, $a=1$ spectrum and no-ghost claims in this lane concern the standard tensile flat bosonic string. Noncritical/Liouville strings, curved-target sigma models, tensionless or Carrollian strings, ambitwistor strings, and worldsheet-emergence constructions use distinct action or constraint systems and are not logical consequences of this flat tensile model.

David Tong, Lectures on String Theory, arXiv:0908.0333v3, full 218-page lecture notes, §§2.2–2.4 and 5.1–5.4.3 (PDF file pp.39–54 and 115–131; printed pp.32–47 and 108–124); printed pp.32–47 and 108–124); printed pp.32–47 and 108–124); printed pp.32–47 and 108–124); printed pp.32–47 and 108–124); printed pp.32–47 and 108–124); printed pp.32–48 and 108–124); this source fixes the flat tensile scope and labels the path-integral and BRST limits.

This pair is confined to the free flat tensile Polyakov string with a nondegenerate Lorentzian worldsheet, the standard open/closed oscillator conventions, and the exact source-reading limits recorded in this batch. Its critical-dimension and spectrum claims do not automatically transfer to noncritical/Liouville completions, tensionless or Carrollian strings, ambitwistor models, curved-target sigma models, or other worldsheet gauge complexes. Those cases change model or constraint data and require their own assumptions and arguments. The R1 2026 discovery scan inspected titles and abstracts only; it did not read those papers' technical proofs and supplies no theorem about them.