5 papers · 1 filter
Nahm sum identities for Cartan matrices of type
Liuquan Wang, Shangwen Wang
Around 2007, Warnaar proved four identities related to Nahm sums associated with twice the inverse of the Cartan matrix of type . Three of these had been conjectured by Flohr,…
Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples
Zhineng Cao, Liuquan Wang
We find nine new sets of rank four Nahm sums associated with nine different numeric matrices which are likely to be modular. They are discovered by applying the lift-dual operation…
Proofs of Two Conjectural Identities on Partial Nahm Sums
Changsong Shi, Liuquan Wang
Recently, Wang and Zeng investigated modularity of partial Nahm sums and discovered 14 modular families of such sums. They confirmed modularity for 13 families and proposed a conje…
Modularity of tadpole Nahm sums in ranks 4 and 5
Changsong Shi, Liuquan Wang
Around 2016, Calinescu, Milas and Penn conjectured that the rank Nahm sum associated with the tadpole Cartan matrix is modular, and they provided a proof for .…
Rogers--Ramanujan Type Identities for Rank Two Partial Nahm Sums
Liuquan Wang, Wentao Zeng
Let be a rational nonzero symmetric matrix, a rational column vector, a rational scalar. For any integer lattice and vector of , we de…