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Supersymmetric localization in two dimensions

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

This is an introductory review to localization techniques in supersymmetric two-dimensional gauge theories. In particular we describe how to construct Lagrangians of N=(2,2) theories on curved spaces, and how to compute their partition functions and certain correlators on the sphere, the hemisphere and other curved backgrounds. We also describe how to evaluate the partition function of N=(0,2) theories on the torus, known as the elliptic genus. Finally we summarize some of the applications, in particular to probe mirror symmetry and other non-perturbative dualities.

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representative citing papers

Hyperfunctions in $A$-model Localization

hep-th · 2025-09-30 · unverdicted · novelty 6.0

Derives a distributional real-line integral formula for abelian observables in A-twisted N=(2,2) theories on S², verifies it on the CP^{N-1} GLSM correlator, and uses hyperfunctions to equate it with contour integrals matching the Jeffrey-Kirwan prescription.

Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs

hep-th · 2024-09-26 · unverdicted · novelty 6.0

High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.

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Showing 3 of 3 citing papers.

  • Hyperfunctions in $A$-model Localization hep-th · 2025-09-30 · unverdicted · none · ref 32 · internal anchor

    Derives a distributional real-line integral formula for abelian observables in A-twisted N=(2,2) theories on S², verifies it on the CP^{N-1} GLSM correlator, and uses hyperfunctions to equate it with contour integrals matching the Jeffrey-Kirwan prescription.

  • Bridging 4D QFTs and 2D VOAs via 3D high-temperature EFTs hep-th · 2024-09-26 · unverdicted · none · ref 161 · internal anchor

    High-temperature limits on higher sheets of the superconformal index for (A1,A2n) Argyres-Douglas theories yield Gang-Kim-Stubbs 3d N=2 theories whose boundaries support Virasoro minimal model VOAs M(2,2n+3) and associated MTCs.

  • Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists hep-th · 2026-04-20 · unverdicted · none · ref 15

    A general formula is derived for the exact partition function of abelian vector and charged chiral multiplets on both twisted and anti-twisted spindles.