A Class of Five-Dimensional Multi-Charged Tchrakian Monopoles (2009)
By considering singular gauge transformations of the five-dimensional Hedge-Hog monopole, we obtain a class of multi-charged Tchrakian monopoles. The charge is classified by the fourth homotopy group...
Self-Duality Equations on S^6 from R^7 monopole (2009)
Kihara, Hironobu, Colgain, Eoin O
In this note we identify a correspondence between a seven-dimensional monopole configuration of the Yang-Mills-Higgs system and the generalized self-dual configuration of the Yang-Mills system on a...
Kihara, Hironobu, Nitta, Muneto, Sasaki, Misao, Yoo, Chul-Moon, Zaballa, Ignacio
We study cosmology of the Einstein-Yang-Mills theory in ten dimensions with a quartic term in the Yang-Mills field strength. We obtain analytically a class of cosmological solutions in which the...
Finite Energy Monopoles in Non-Abelian Gauge Theories on Odd-dimensional Spaces (2008)
In higher dimensional gauge theory, we need energies with higher power terms of field strength in order to realize point-wise monopoles. We consider new models with higher power terms of field...
Generalized Instantons on Complex Projective Spaces (2008)
Kihara, Hironobu, Nitta, Muneto
We study a class of generalized self-duality relations in gauge theories on the complex projective space with the Fubini-Study metric. Our theories consist of only gauge fields with gauge group U(n)....
Grand Partition Functions of Little Matrix Models with ABCD (2008)
Itoyama-Tokura type USp matrix model is discussed. Non-Abelian Berry's phases in a T-dualized model of IT model were reconsidered. These phases describe the higher dimensional monopoles; Yang...
Five-dimensional Monopole Equation with Hedge-Hog Ansatz and Abel's Differential Equation (2008)
We review the generalized monopole in the five-dimensional Euclidean space. A numerical solution with the Hedge-Hog ansatz is studied. The Bogomol'nyi equation becomes a second order autonomous...
Exact Solutions of Einstein-Yang-Mills Theory with Higher-Derivative Coupling (2007)
Kihara, Hironobu, Nitta, Muneto
We construct a classical solution of an Einstein-Yang-Mills system with a fourth order term with respect to the field strength of the Yang-Mills field. The solution provides a spontaneous...
A Classical Solution in Six-dimensional Gauge Theory with Higher Derivative Coupling (2007)
Kihara, Hironobu, Nitta, Muneto
We show that the spin connection of the standard metric on a six-dimensional sphere gives an exact solution to the generalized self-dual equations suggested by Tchrakian some years ago. We work on an...
Scalar Laplacian on Sasaki-Einstein Manifolds Y^{p,q} (2005)
Kihara, Hironobu, Sakaguchi, Makoto, Yasui, Yukinori
We study the spectrum of the scalar Laplacian on the five-dimensional toric Sasaki-Einstein manifolds Y^{p,q}. The eigenvalue equation reduces to Heun's equation, which is a Fuchsian equation with...
Generalized Monopoles in Six-dimensional Non-Abelian Gauge Theory (2004)
Kihara, Hironobu, Hosotani, Yutaka, Nitta, Muneto
A spherically symmetric monopole solution is found in SO(5) gauge theory with Higgs scalar fields in the vector representation in six-dimensional Minkowski spacetime. The action of the Yang-Mills...