TY - JOUR
T1 - 3-Manifolds and VOA Characters
AU - Cheng, Miranda C.N.
AU - Chun, Sungbong
AU - Feigin, Boris
AU - Ferrari, Francesca
AU - Gukov, Sergei
AU - Harrison, Sarah M.
AU - Passaro, Davide
N1 - Publisher Copyright:
© The Author(s) 2024.
PY - 2024/2
Y1 - 2024/2
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85186699831&partnerID=8YFLogxK
U2 - 10.1007/s00220-023-04889-1
DO - 10.1007/s00220-023-04889-1
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AN - SCOPUS:85186699831
SN - 0010-3616
VL - 405
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
IS - 2
M1 - 44
ER -