Pith. sign in

REVIEW 13 cited by

Geometric Engineering of Quantum 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 hep-th/9609239 v2 pith:XH7MQBNS submitted 1996-09-30 hep-th math.AG

Sheldon Katz , Albrecht Klemm , Cumrun Vafa This is my paper · ORCID
classification hep-thmath.AG
keywords fieldquantumtheoriesgeometriclocalnon-trivialresultsstrings
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
abstract

Using the recent advances in our understanding of non-perturbative aspects of type II strings we show how non-trivial exact results for $N=2$ quantum field theories can be reduced to T-dualities of string theory. This is done by constructing a local geometric realization of quantum field theories together with a local application of mirror symmetry. This construction is not based on any duality conjecture and thus reduces non-trivial quantum field theory results to much better understood T-dualities of type II strings. Moreover it can be used in principle to construct in a systematic way the vacuum structure for arbitrary $N=2$ gauge theories with matter representations.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 13 Pith papers

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

  1. Higher-Rank Connections and Deformed Schr\"odinger Operators

    math-ph 2026-05 unverdicted novelty 7.0 of 10

    Derives weakest quantization conditions in terms of monodromy data for higher-order DEs tied to quantum Toda chain and proves duality predictions for deformed Schrödinger operators.

  2. Shell formulas for instantons and gauge origami

    hep-th 2025-12 unverdicted novelty 7.0 of 10

    A new shell formula unifies and delivers explicit closed-form expressions plus recursions for instanton partition functions in 5d SYM and multiple gauge origami configurations using arbitrary-dimensional Young diagrams.

  3. Calabi-Yau Threefolds from Vex Triangulations

    hep-th 2025-12 conditional novelty 7.0 of 10

    All fine regular triangulations of 4D reflexive polytopes—including non-FRST vex triangulations—yield smooth, birationally equivalent Calabi-Yau threefold hypersurfaces.

  4. Eigenfunctions of deformed Schr\"odinger equations

    hep-th 2025-11 conditional novelty 7.0 of 10

    Explicit entire eigenfunctions are constructed for the difference operators 2Λ^N cosh(p)+V_N(x) with arbitrary polynomial potential; they become square-integrable only at a discrete set of energies.

  5. Five-brane webs, 3d $\mathcal{N}=2$ theories and quantum curves

    hep-th 2025-01 conditional novelty 7.0 of 10

    The Newton polygon of the quantum curve for a 3d N=2 brane configuration is conjectured to equal the toric diagram dual to its (p,q) 5-brane web, with derivations for Lagrangian cases and new matrix models for p>=2.

  6. 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.

  7. 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.

  8. Engineering of Anyons on M5-Probes via Flux Quantization

    hep-th 2025-01 unverdicted novelty 6.0 of 10

    Flux quantization of the M5-brane tensor field in twisted Cohomotopy yields Pontrjagin homology observables that reproduce abelian Chern-Simons theory and braid actions on defect anyons.

  9. BPS Dendroscopy on Local $\mathbb{P}^1\times \mathbb{P}^1$

    hep-th 2024-12 unverdicted novelty 6.0 of 10

    Construction of the scattering diagram for BPS indices on local P1 x P1 and sketch of the Split Attractor Flow Tree Conjecture for restricted central charge phase.

  10. (-1)-form symmetries from M-theory and SymTFTs

    hep-th 2024-11 conditional novelty 6.0 of 10

    A systematic M-theory construction of SymTFTs for discrete and continuous (-1)-form symmetries, with a new 4-group structure in 4d N=1 SYM from G2 manifolds.

  11. Modular resurgence of topological string

    hep-th 2026-07 unverdicted novelty 5.0 of 10

    Stokes constants of topological string non-perturbative contributions are invariant on monodromy orbits, reproduce the BPS spectrum, and satisfy the Kontsevich-Soibelman Lie algebra.

  12. Non-perturbative approaches to the quantum Seiberg-Witten curve

    hep-th 2019-08 conditional novelty 5.0 of 10

    The Borel-resummed quantum periods and the Fredholm determinant of the modified Mathieu operator are computed from TBA equations and topological string theory, with high-precision numerical tests against WKB and direc...

  13. Mock modularity at work, or black holes in a forest

    hep-th 2025-05 conditional novelty 4.0 of 10

    Generating functions of D4-D2-D0 BPS black hole microstates in Calabi-Yau compactifications are higher-depth mock modular forms, and solving their anomaly equations determines exact degeneracies and topological invariants.

Pith tools