Schubert line defects in 3d GLSMs for partial flag manifolds reproduce parabolic Whitney polynomials for Schubert classes in quantum K-theory and yield new parabolic quantum Grothendieck polynomials.
Vacuum structures revisited
5 Pith papers cite this work. Polarity classification is still indexing.
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abstract
We consider the relationship between the higher symmetry and the dynamical decomposition in supersymmetric gauge theory in various dimensions by studying the semi-classical potential energy. We observe that besides the scalar moduli we shall also include the field strength $F_{0\cdots d}$ in the vacuum moduli in the 1+d dimensional theory along with a $\mathbb{Z}_{p}$ $d$-form symmetry. In gauge theory for charge-$p$ matters with this symmetry, we find that the vacua decompose into $p$ different universes at an intermediate scale, which means no dynamical domain wall can interpolate between them. In our setup, we re-derive the existing results on the decomposition in various dimensions. In four dimensions, we propose a UV gauge theory for the generalized super Yang-Mills theory, whose instanton sectors are restricted to the topological number with integer multiples of $p$.
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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.
Computes 2- and 3-point functions of Schubert line defects in 3d A-model for partial flag manifolds Fl(k;n) to obtain K-theoretic Littlewood-Richardson coefficients, with small-beta limit recovering 2d quantum cohomology.
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.
Continuous-universe decomposition plus (-1)-form gauging eliminates every instanton in local QFTs, realized explicitly by switching 2D U(1) gauge theories to noncompact R gauge groups.
citing papers explorer
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Schubert line defects in 3d GLSMs, part II: Partial flag manifolds and parabolic quantum polynomials
Schubert line defects in 3d GLSMs for partial flag manifolds reproduce parabolic Whitney polynomials for Schubert classes in quantum K-theory and yield new parabolic quantum Grothendieck polynomials.
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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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On the Schubert calculus of the quantum K-theory for partial flag manifolds: a 3d A-model perspective
Computes 2- and 3-point functions of Schubert line defects in 3d A-model for partial flag manifolds Fl(k;n) to obtain K-theoretic Littlewood-Richardson coefficients, with small-beta limit recovering 2d quantum cohomology.
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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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Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries
Continuous-universe decomposition plus (-1)-form gauging eliminates every instanton in local QFTs, realized explicitly by switching 2D U(1) gauge theories to noncompact R gauge groups.