Pith. sign in

REVIEW 2 cited by

Superconformal indices of ${\mathcal N}=4$ SYM field theories

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

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

arxiv 1005.4196 v3 pith:I3P466CN submitted 2010-05-23 hep-th

V. P. Spiridonov , G. S. Vartanov This is my paper · ORCID
classification hep-th
keywords scistheoriesintegralsmathcalfieldgaugegroupsindices
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

Superconformal indices (SCIs) of 4d ${\mathcal N}=4$ SYM theories with simple gauge groups are described in terms of elliptic hypergeometric integrals. For $F_4, E_6, E_7, E_8$ gauge groups this yields first examples of integrals of such type. S-duality transformation for G_2 and F_4 SCIs is equivalent to a change of integration variables. Equality of SCIs for SP(2N) and SO(2N+1) group theories is proved in several important special cases. Reduction of SCIs to partition functions of 3d $\mathcal{N}=2$ SYM theories with one matter field in the adjoint representation is investigated, corresponding 3d dual partners are found, and some new related hyperbolic beta integrals are conjectured.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Probing Non-Graviton Spectra in $\mathcal{N}=4$ SYM via BMN truncation and S-Duality

    hep-th 2025-06 conditional novelty 7.0 of 10

    The BMN index of N=4 SYM contains universal non-graviton bosonic towers, and the S-duality mismatch between SO(7) and Sp(3) pinpoints a non-graviton cohomology.

  2. Unitary matrix models, quantized symmetric functions and spin chain

    hep-th 2026-07 conditional novelty 6.0 of 10

    Unitary matrix models are mapped to vacuum correlators of quantized symmetric functions in the N-magnon sector of a spin chain via Schur orthogonality.

Pith tools