Pith. sign in

REVIEW 5 cited by

Elliptic Blowup Equations for 6d SCFTs. II: Exceptional Cases

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 1905.00864 v3 pith:NY4PCHQ2 submitted 2019-05-02 hep-th math-phmath.MP

Jie Gu , Albrecht Klemm , Kaiwen Sun , Xin Wang This is my paper
classification hep-thmath-phmath.MP
keywords elliptictheoriesrankscftsblowupcasesequationsformula
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
abstract

The building blocks of 6d $(1,0)$ SCFTs include certain rank one theories with gauge group $G=SU(3),SO(8),F_4,E_{6,7,8}$. In this paper, we propose a universal recursion formula for the elliptic genera of all such theories. This formula is solved from the elliptic blowup equations introduced in our previous paper. We explicitly compute the elliptic genera and refined BPS invariants, which recover all previous results from topological string theory, modular bootstrap, Hilbert series, 2d quiver gauge theories and 4d $\mathcal{N}=2$ superconformal $H_{G}$ theories. We also observe an intriguing relation between the $k$-string elliptic genus and the Schur indices of rank $k$ $H_{G}$ SCFTs, as a generalization of Lockhart-Zotto's conjecture at the rank one cases. In a subsequent paper, we deal with all other non-Higgsable clusters with matters.

Discussion (0). Sign in to comment.

Forward citations

Cited by 5 Pith papers

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

  1. Generalised global symmetries in 5d $\mathcal{N}=1$ theories from the blow-up equations

    hep-th 2026-07 accept novelty 7.0 of 10

    Fractional exponents of the blow-up prefactor exp(-V_n) on 1-form backgrounds encode cubic and mixed anomalies of 5d N=1 SCFTs, deciding 2-groups versus mixed anomalies once the faithful UV symmetry is known from the index.

  2. Generalised global symmetries in 5d $\mathcal{N}=1$ theories from the blow-up equations

    hep-th 2026-07 conditional novelty 6.5 of 10

    Blow-up equation prefactors encode cubic 1-form self-anomalies and mixed anomalies of 5d N=1 SCFTs, deciding 2-group vs mixed anomaly structure.

  3. BPS Invariants for Generalized Toric Calabi-Yau Threefolds

    hep-th 2026-07 conditional novelty 6.0 of 10

    Gopakumar–Vafa invariants are transported across Hanany–Witten transitions after removing a universal parallel-brane sector, giving first-time high-degree invariants for local dP4.

  4. Wall-crossing of Instantons on the Blow-up

    hep-th 2026-04 unverdicted novelty 6.0 of 10

    Instanton partition functions on the blow-up are given by chamber-dependent contour integrals over super-partitions selected by stability conditions, yielding explicit wall-crossing formulas that recover the Nakajima-...

  5. More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations

    hep-th 2026-02 conditional novelty 6.0 of 10

    For 5d N=1 pure gauge theories, Wilson-loop blowup equations can be fixed using one-form symmetry and low-instanton data, and one-instanton free energies admit a universal v=sqrt(q1q2) expansion resembling Hilbert series.

Pith tools