Unitary QFTs are determined up to unitary isomorphism by closed-manifold partition functions; every reflection-positive partition function comes from a unitary QFT, so spatial wormholes do not break Hilbert-space factorization once the full charged spectrum is included.
Vertex algebras and Teichm\"{u}ller modular forms
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
abstract
We associate to any holomorphic vertex algebra a collection of Teichm\"{u}ller modular forms, one in each genus. In genus one we obtain the character of the vertex algebra, and we thus reprove Zhu's modularity result. In higher genus, we prove that these forms have an expansion in terms of the correlation functions of the vertex algebra. We propose applications to the Schottky problem, to the study of the slope of the effective cone of the moduli space of curves, and to the classification of holomorphic vertex algebras. In particular, we prove a uniqueness result for high genera partition functions of the moonshine vertex algebra.
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Constructs Teichmüller modular forms from holomorphic vertex operator algebras and applies them to connect VOA classification with the geometry of moduli spaces of curves.
citing papers explorer
-
Vertex operator algebras, partition functions and Teichm\"{u}ller modular forms
Constructs Teichmüller modular forms from holomorphic vertex operator algebras and applies them to connect VOA classification with the geometry of moduli spaces of curves.