3-Manifolds and VOA Characters

Miranda C.N. Cheng, Sungbong Chun, Boris Feigin, Francesca Ferrari, Sergei Gukov, Sarah M. Harrison, Davide Passaro*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

Abstract

By studying the properties of q-series Z^-invariants, we develop a dictionary between 3-manifolds and vertex algebras. In particular, we generalize previously known entries in this dictionary to Lie groups of higher rank, to 3-manifolds with toral boundaries, and to BPS partition functions with line operators. This provides a new physical realization of logarithmic vertex algebras in the framework of the 3d-3d correspondence and opens new avenues for their future study. For example, we illustrate how invoking a knot-quiver correspondence for Z^-invariants leads to many infinite families of new fermionic formulae for VOA characters.

Original languageEnglish
Article number44
JournalCommunications in Mathematical Physics
Volume405
Issue number2
DOIs
StatePublished - Feb 2024
Externally publishedYes

Bibliographical note

Publisher Copyright:
© The Author(s) 2024.

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