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Multiple layer structure of non-Abelian vortex

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Resurgence and Lefschetz thimble in three-dimensional $\mathcal{N}=2$ supersymmetric Chern–Simons matter theories

We study a certain class of supersymmetric (SUSY) observables in 3d $\mathcal{N}=2$ SUSY Chern-Simons (CS) matter theories and investigate how their exact results are related to the perturbative…
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Instantons in chiral magnets

We exhaustively construct instanton solutions and elucidate their properties in one-dimensional antiferromagnetic chiral magnets based on the O(3) nonlinear sigma model description of spin chains…
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Effective Action of Non-Abelian Monopole-Vortex Complex

We construct effective actions for non-Abelian 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) monopole-vortex complexes in 4d N = 2 supersymmetric gauge theories with gauge groups U(N), U(1) \times SO(2n)…
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Exact resurgent trans-series and multibion contributions to all orders

The full resurgent trans-series is found exactly in near-supersymmetric $\mathbb C P^1$ quantum mechanics. By expanding in powers of the SUSY breaking deformation parameter, we obtain the first and…
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Non-Abelian vortices on a cylinder: Duality between vortices and walls

We investigate vortices on a cylinder in supersymmetric non-Abelian gauge theory with hypermultiplets in the fundamental representation. We identify moduli space of periodic vortices and find that a…
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Exact WKB analysis of the vacuum pair production by time-dependent electric fields

We study the vacuum pair production by a time-dependent strong electric field based on the exact WKB analysis. We identify the generic structure of a Stokes graph for systems with the vacuum pair…
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Non-Abelian vortices in SO(N) and USp(N) gauge theories

Non-Abelian BPS vortices in SO(N) x U(1) and USp(2N) x U(1) gauge theories are constructed in maximally color-flavor locked vacua. We study in detail their moduli and transformation properties…
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Intersecting Solitons Amoeba and Tropical Geometry

We study the generic intersection (or web) of vortices with instantons inside, which is a 1/4 Bogomol'nyi-Prasad-Sommerfield state in the Higgs phase of five-dimensional N=1 supersymmetric U(N{sub…
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Dynamics of Non-Abelian Vortices

Scattering is studied using a moduli space metric for well-separated vortices of non-Abelian vortices in $(2+1)$-dimensional $U(N)$ gauge theories with $N$ Higgs fields in the fundamental…
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