A bstract We study the vacuum pair production by a time-dependent strong electric field based on exact WKB analysis. identify generic structure of Stokes graph for systems with and show that number produced pairs is given product connection matrices segments connecting turning points. derive an explicit formula pairs, assuming semi-classical limit. The obtained can be understood as generalization divergent asymptotic series method Berry, consistent other methods such worldline instanton...

We investigate vortices on a cylinder in supersymmetric non-Abelian gauge theory with hypermultiplets the fundamental representation. identify moduli space of periodic and find that pair wall-like objects appears as vortex is varied. Usual domain walls also can be obtained from single by introducing twisted boundary condition. understand these phenomena $T$ duality among D-brane configurations type II superstring theories. Using this $T$-duality picture, we one-to-one correspondence between...

We construct the general vortex solution in fully-Higgsed, color-flavor locked vacuum of a non-Abelian gauge theory, where group is taken to be product an arbitrary simple and U(1), with Fayet-Iliopoulos term. The moduli space determined.

We discuss the nonperturbative contributions from real and complex saddle point solutions in $\mathbb{C}{P}^{1}$ quantum mechanics with fermionic degrees of freedom, using Lefschetz thimble formalism beyond Gaussian approximation. find bion solutions, which correspond to (complexified) instanton-anti-instanton configurations stabilized presence freedom. By computing one-loop determinants backgrounds, we obtain leading order both solutions. To incorporate quasizero modes become nearly...

A bstract We derive the semiclassical contributions from real and complex bions in two-dimensional ℂ P N − 1 sigma model on ℝ× S with a twisted boundary condition. The bion configurations are saddle points of complexified Euclidean action, which can be viewed as bound states pair fractional instantons opposite topological charges. first solutions by solving equation motion potential simulates an interaction induced fermions quantum mechanics. have quasi-moduli parameters corresponding to...

We numerically construct a stable three-string junction of Y shape in flag manifold nonlinear sigma model on <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>S</a:mi><a:mi>U</a:mi><a:mo stretchy="false">(</a:mo><a:mn>3</a:mn><a:mo stretchy="false">)</a:mo><a:mo>/</a:mo><a:mi>U</a:mi><a:mo stretchy="false">(</a:mo><a:mn>1</a:mn><a:msup><a:mrow><a:mo stretchy="false">)</a:mo></a:mrow><a:mrow><a:mn>2</a:mn></a:mrow></a:msup></a:mrow></a:math>. Published by the...

The full resurgent trans-series is found exactly in near-supersymmetric $\mathbb{C}{P}^{1}$ quantum mechanics. By expanding powers of the supersymmetry-breaking deformation parameter, we obtain first and second expansion coefficients ground-state energy. They are an absolutely convergent series nonperturbative exponentials corresponding to multibions with perturbation on those backgrounds. We all multibion exact solutions for a finite time interval complexified theory. sum semiclassical...

Domain walls in $U(N)$ gauge theories, coupled to Higgs scalar fields with degenerate masses, are shown possess normalizable non-Abelian Nambu-Goldstone (NG) modes, which we call clouds. We construct the moduli space metric and its K\"ahler potential of effective field theory on domain by focusing two models: a $U(1)$ several charged fields, $2N$ fundamental representation. find that clouds spread between their rotation induces long-range repulsive force, contrast mode models fully...

We study the generic intersection (or web) of vortices with instantons inside, which is a $1/4$ Bogomol'nyi-Prasad-Sommerfield state in Higgs phase five-dimensional $\mathcal{N}=1$ supersymmetric $U({N}_{\mathrm{C}})$ gauge theory on ${\mathbb{R}}_{t}\ifmmode\times\else\texttimes\fi{}({\mathbb{C}}^{*}{)}^{2}\ensuremath{\simeq}{\mathbb{R}}^{2,1}\ifmmode\times\else\texttimes\fi{}{T}^{2}$ ${N}_{\mathrm{F}}={N}_{\mathrm{C}}$ scalars fundamental representation. In case Abelian-Higgs model...

We investigate the resurgence structure in quantum mechanical models originating 2d nonlinear sigma with emphasis on nearly supersymmetric and quasi-exactly solvable parameter regimes. By expanding ground state energy powers of a supersymmetry-breaking deformation |$\delta \epsilon$|⁠, we derive exact results for expansion coefficients. In class described by real multiplets, |${\mathcal O}(\delta\epsilon)$| has non-Borel summable asymptotic series, which gives rise to imaginary ambiguities...

Networks or webs of domain walls are admitted in Abelian non-Abelian gauge theory coupled to fundamental Higgs fields with complex masses. We examine the dynamics wall loops by using moduli approximation and find a phase rotation induces repulsive force which can be understood as Noether charge Q-solitons. Non-Abelian allows different types deformed each other changing modulus. This admits geometry like sandglass made gluing tips two cigar-(cone-)like metrics single triangle loop. conclude...

We study what might be called fractional vortices, vortex configurations with the minimum winding from viewpoint of their topological stability, but which are characterized by various notable substructures in transverse energy distribution. The vortices occur diverse Abelian or non-Abelian generalizations Higgs model. global and local features characterizing these studied, we identify two crucial ingredients for occurrence---the vacuum degeneracy leading to nontrivial moduli $\mathcal{M}$,...

We derive the exact vortex partition function in 2d $\mathcal{N}$ = (2,2) gauge theory on Omega-background, applying localization scheme Higgs phase. show that at a finite Omega-deformation parameter $\epsilon$ satisfies system of differential equations, which can be interpreted as quantized version twisted F-term equations characterizing SUSY vacua. Using derived this paper, we correspondence between two-dimensional string worldsheet and Nekrasov root branch four-dimensional 2 with two...

Bogomol'nyi-Prasad-Sommerfield (BPS) vortices in U(N) gauge theories have two layers corresponding to non-Abelian and Abelian fluxes, whose widths depend nontrivially on the ratio of U(1) SU(N) couplings. We find numerically analytically that differ significantly from Compton lengths lightest massive particles with appropriate quantum number.

We give a systematic method to calculate higher derivative corrections low-energy effective theories of solitons, which are in general nonlinear sigma models on the moduli spaces solitons. By applying it theory single BPS non-Abelian vortex U(N) gauge with N fundamental Higgs fields, we obtain four-derivative model space C ×CPN-1. compare them Nambu-Goto action and Faddeev-Skyrme model. also show that Yang-Mills instantons/monopoles trapped inside membrane/string not modified presence terms.

We construct a bound state of three 1/3-quantized Josephson coupled vortices in three-component superconductors with intrinsic couplings, which may be relevant regard to iron-based superconductors. find Y-shaped junction domain walls connecting the vortices, resembling baryonic quarks QCD. The appearance Y-junction (but not Delta-junction) implies that both cases and QCD, is described by genuine three-body interaction sum two-body interactions). also discuss confinement/deconfinement phase...

We present for the first time a ghost-free higher-derivative chiral model with propagating auxiliary F-term field (highest component of multiplet). obtain this by removing ghost in higher derivative model, Higgsing it terms an vector superfield. Depending on sign quadratic term superfield, contains two free branches parameter regions. find that supersymmetry is spontaneously broken one branch while preserved other branch. As consequence dynamical field, conserved U(1) charge corresponding to...

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 with Dzyaloshinskii-Moriya (DM) interaction. By introducing an easy-axis potential a staggered magnetic field, we obtain phase diagram consisting ground-state phases two points (or one point) dominant cases, helical modulation at fixed latitude sphere, tricritical point allowing modulations...

$U({N}_{\mathrm{C}})$ gauge theory with ${N}_{\mathrm{F}}$ fundamental scalars admits BPS junctions of domain walls. When the networks/webs these walls contain loops, their size moduli give localized massless modes. We construct K\"ahler potential effective action. In large limit metric is well approximated by kinetic energy and junctions, which understood in terms tropical geometry. can be expressed hypergeometric functions that are useful to understand small behavior. Even when loop...

The moduli space metric and its Kähler potential for well-separated non-Abelian vortices are obtained in U(N) gauge theories with N Higgs fields the fundamental representation.Received 22 June 2010DOI:https://doi.org/10.1103/PhysRevD.82.065005© 2010 American Physical Society

Configurations of vortex strings stretched between or ending on domain walls were previously found to be $1/4$ Bogomol'nyi-Prasad-Sommerfield (BPS) states in $\mathcal{N}=2$ supersymmetric gauge theories $3+1$ dimensions. Among zero modes string positions, the center mass each region two adjacent is shown non-normalizable whereas rests are normalizable. We study dynamics separated by using methods, moduli space (geodesic) approximation full BPS and charged particle for end points wall...