Toshiaki Fujimori

Higher Derivative Corrections to Non-Abelian Vortex Effective Theory

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

Baryonic Bound State of Vortices in Multicomponent Superconductors

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

Dynamics of Non-Abelian Vortices

Scattering is studied using a moduli space metric for well-separated vortices of non-Abelian vortices in

Vortex counting from field theory

(2+1)

Group theory of non-Abelian vortices

-dimensional

Resurgence structure to all orders of multi-bions in deformed SUSY quantum mechanics

U(N)

Ghostbusters in higher derivative supersymmetric theories: who is afraid of propagating auxiliary fields?

gauge theories with

Power-counting and Renormalizability in Lifshitz Scalar Theory

N

2d partition function in Ω-background and vortex/instanton correspondence

Higgs fields in the fundamental representation. Unlike vortices in the Abelian-Higgs model, the dynamics of non-Abelian vortices has many new features: the kinetic energy in real space can be transferred to that of internal orientational moduli and vice versa, the energy and charge transfer between two vortices, the scattering angle of collisions with a fixed impact parameter depends on the internal orientations, and some resonances appear due to synchronization of the orientations. Scattering of dyonic non-Abelian vortices in a mass deformed theory is also studied. We find a bound state of two vortices moving along coils around a circle, like a loop of a phone cord.

All exact solutions of non-Abelian vortices from Yang-Mills instantons

A bstractThe vortex partition function in 2d