Quiver Mutation Loops and Partition q-Series

Akishi Kato, Yuji Terashima

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


A quiver mutation loop is a sequence of mutations and vertexrelabelings, along which a quiver transforms back to the originalform. For a given mutation loop γ, we introduce a quantity called a partition q-seriesZγ which takes values in (Formula presented.) where (Formula presented.) is some positive integer. Thepartition q-series are invariant under pentagon moves. If thequivers are of Dynkin type or square products thereof, theyreproduce so-called fermionic or quasi-particle character formulasof certain modules associated with affine Lie algebras. They enjoynice modular properties as expected from the conformal field theorypoint of view.

Original languageEnglish
Pages (from-to)811-830
Number of pages20
JournalCommunications in Mathematical Physics
Issue number2
Publication statusPublished - 2015 Jun


Dive into the research topics of 'Quiver Mutation Loops and Partition q-Series'. Together they form a unique fingerprint.

Cite this