8 papers
W-algebras of the Deligne-CvitanoviÄ Exceptional series and the minimal 3d SCFT
Thomas Creutzig, Niklas Garner, Byeonggi Go +1
We propose a three-dimensional field theory construction that realizes the vertex algebras associated with the intermediate Lie algebras and the related -cofinite minimal -…
Macdonald index from 3d TQFT
Heeyeon Kim, Hongseok Kim, Jaewon Song
We propose a new fermionic sum formula for the Macdonald index of a class of Argyres-Douglas theories. The formula arises naturally from a three-dimensional topological field theor…
A Family of Vertex Algebras from Argyres-Douglas Theory
Heeyeon Kim, Jaewon Song
We find that multiple vertex algebras can arise from a single 4d superconformal field theory (SCFT). The connection is given by the BPS monodromy operator , whic…
Mirror Symmetry and Level-rank Duality for 3d Rank 0 SCFTs
Thomas Creutzig, Niklas Garner, Heeyeon Kim
We introduce a family of 3d superconformal field theories that have zero-dimensional Coulomb and Higgs branches and propose that the rational vertex operator alge…
Three Dimensional Topological Field Theories and Nahm Sum Formulas
Dongmin Gang, Heeyeon Kim, Byoungyoon Park +1
It is known that a large class of characters of 2d conformal field theories (CFTs) can be written in the form of a Nahm sum. In \cite{Zagier:2007knq}, D. Zagier identified a list o…
Path Integral Derivations Of K-Theoretic Donaldson Invariants
Heeyeon Kim, Jan Manschot, Gregory W. Moore +2
We consider 5d SU(2) super Yang-Mills theory on , with a closed smooth four-manifold. A partial topological twisting along renders the theory f…