Schubert line defects in 3d GLSMs for complete flag manifolds are realized as SQM quivers whose indices give quantum Grothendieck polynomials and restrict the target space to Schubert varieties.
Witten, Phases of n=2 theories in two dimensions,Nucl
7 Pith papers cite this work. Polarity classification is still indexing.
abstract
This is a study of the Landau-Ginzburg/Calabi-Yau correspondence, and related matters, using linear sigma models.
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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.
A general formula is derived for the exact partition function of abelian vector and charged chiral multiplets on both twisted and anti-twisted spindles.
Higher-form gauge dynamics associated with domain walls produce the VY superpotential semiclassically via Z_N sectors and point-like configurations in N=1 SYM.
The hadron spectrum in N=2 SQCD with N_f=2N is given by the spectrum of a non-Abelian string on a 2D N=2 supersymmetric black hole, with a Higgs-to-string phase transition viewed as a conifold transition.
Deformations in algebraic superstring models indicate a non-algebraic generalization that aligns with mirror duality requirements.
The paper reviews how higher-order flux superpotential terms stabilize massless fields in specific Landau-Ginzburg models, yielding isolated Minkowski vacua that test tadpole and massless Minkowski conjectures.
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Schubert line defects in 3d GLSMs, part I: Complete flag manifolds and quantum Grothendieck polynomials
Schubert line defects in 3d GLSMs for complete flag manifolds are realized as SQM quivers whose indices give quantum Grothendieck polynomials and restrict the target space to Schubert varieties.
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Hyperfunctions in $A$-model Localization
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.
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Localisation of $\mathcal{N} = (2,2)$ theories on spindles of both twists
A general formula is derived for the exact partition function of abelian vector and charged chiral multiplets on both twisted and anti-twisted spindles.
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Dynamical Generation of the VY Superpotential in $N=1$ SYM: A Higher-Form Perspective
Higher-form gauge dynamics associated with domain walls produce the VY superpotential semiclassically via Z_N sectors and point-like configurations in N=1 SYM.
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Hadrons in $\mathcal{N}=2$ supersymmetric QCD from non-Abelian string on 2D black hole
The hadron spectrum in N=2 SQCD with N_f=2N is given by the spectrum of a non-Abelian string on a 2D N=2 supersymmetric black hole, with a Higgs-to-string phase transition viewed as a conifold transition.
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Beyond Algebraic Superstring Compactification: Part II
Deformations in algebraic superstring models indicate a non-algebraic generalization that aligns with mirror duality requirements.
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AI usage in string theory, a case study: String Vacua in the Interior of Moduli Space
The paper reviews how higher-order flux superpotential terms stabilize massless fields in specific Landau-Ginzburg models, yielding isolated Minkowski vacua that test tadpole and massless Minkowski conjectures.