REVIEW 1 cited by
Nahm's Conjecture: Asymptotic Computations and Counterexamples
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
Signed reviews
read the original abstract
We consider certain q-series depending on parameters (A,B,C), where A is a positive definite r times r matrix, B is an r-vector and C is a scalar, and ask when these q-series are modular forms. Werner Nahm conjectured a criterion for which A's can occur, in terms of torsion in the Bloch group. The conjecture was proved by Don Zagier and Michael Terhoeven for r=1. We develop their approach for r>1 and find several new examples of modular forms as well as some counterexamples to Nahm's conjecture.
Forward citations
Cited by 1 Pith paper
-
3d $\mathcal N=4$ rank-zero mirror symmetry, TQFT interfaces, and Zagier duality of Nahm sums
Zagier duality between the (E8,T1) and (T1,E8) Nahm systems is realized as 3d N=4 rank-zero mirror symmetry of two U(1)^8 Chern-Simons matter theories, with the duality interface generating the level-one E8 character.
Discussion (0). Continue with ORCID to comment.