Filip Blaschke

Matter fields and non-Abelian gauge fields localized on walls

Massless matter fields and non-Abelian gauge fields are localized on domain walls in a (4+1)-dimensional

Dynamics of slender monopoles and anti-monopoles in non-Abelian superconductor

U(N)_c

Stabilizing matter and gauge fields localized on walls

gauge theory with

Non-Abelian gauge field localization on walls and geometric Higgs mechanism

SU(N)_{L}\times SU(N)_{R}\times U(1)_{A}

Localization of matter fields and non-Abelian gauge fields on domain walls

flavor symmetry. We also introduce

Cotangent bundle over hermitian symmetric space E7/E6 × U(1) from projective superspace

SU(N)_{L+R}

Grand unified brane world scenario

flavor gauge fields and a scalar-field-dependent gauge coupling, which provides massless non-Abelian gauge fields localized on the wall. We find a chiral Lagrangian interacting minimally with the non-Abelian gauge field together with nonlinear interactions of moduli fields as the (3+1)-dimensional effective field theory up to the second order of derivatives. Our result provides a step towards a realistic model building of brane-world scenario using topological solitons.

Localization of the Standard Model via the Higgs mechanism and a finite electroweak monopole from non-compact five dimensions

A bstractLow energy dynamics of magnetic monopoles and anti-monopoles in the U(2)C gauge theory is studied in the Higgs (non-Abelian superconducting) phase. The monopoles in this superconducting phase are not spherical but are of slender ellipsoid which are pierced by a vortex string. We investigate scattering of the slender monopole and anti-monopole, and find that they do not always decay into radiation, contrary to our naive intuition. They can repel, make bound states (magnetic mesons) or resonances. Analytical solutions including any number of monopoles and anti-monopoles are obtained in the first non-trivial order of rigid-body approximation. We point out that some part of solutions of slender monopole system in 1 + 3 dimensions can be mapped exactly onto the sine-Gordon system in 1 + 1 dimensions. This observation allows us to visualize dynamics of monopole and anti-monopole scattering easily.

BPS Cho–Maison monopole

Both non-Abelian gauge fields and minimally interacting massless matter fields are localized on a domain wall in the five-dimensional spacetime. Field-dependent gauge coupling naturally gives a position-dependent coupling to localize non-Abelian gauge fields on the domain wall. An economical field content allows us to eliminate a moduli for a instability, and to demonstrate the positivity of the position-dependent coupling in the entire moduli space. Effective Lagrangian similar to the chiral Lagrangian is found with a new feature of different coupling strengths for adjoint and singlet matter that depend on the width of the domain wall.

Localized non-Abelian gauge fields in non-compact extra dimensions

Combining the semiclassical localization mechanism for gauge fields with N domain wall background in a simple SU(N) gauge theory in 5 space-time dimensions, we investigate the geometric Higgs mechanism, where a spontaneous breakdown of the gauge symmetry comes from splitting of domain walls. The mass spectra are investigated in detail for the phenomenologically interesting case SU(5) -> SU(3) x SU(2) x U(1), which is realized on a split configuration of coincident triplet and doublet of domain walls. We derive a low-energy effective theory in a generic background using the moduli approximation, where all nonlinear interactions between effective fields are captured up to 2 derivatives. We observe novel similarities between domain walls in our model and D-branes in superstring theories.