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Y. Yasui

Publications and source records attributed to Y. Yasui.

21 records · Page 2Linked to original sources

Anti-self-dual Maxwell solutions on hyperkähler manifold and N=2 supersymmetric Ashtekar gravity

Anti-self-dual (ASD) Maxwell solutions on 4-dimensional hyperkähler manifolds are constructed. The N=2 supersymmetric half-flat equations are derived in the context of the Ashtekar formulation of N=2 supergravity. These equations show that the ASD Maxwell solutions have a direct connection with the solutions of the reduced N=2 supersymmetric ASD Yang-Mills equations with a special choice of gauge group. Two examples of the Maxwell solutions are presented.

gr-qc↗

Applications of the Ashtekar gravity to four dimensional hyperkähler geometry and Yang-Mills Instantons

The Ashtekar-Mason-Newman equations are used to construct the hyperkähler metrics on four dimensional manifolds. These equations are closely related to anti self-dual Yang-Mills equations of the infinite dimensional gauge Lie algebras of all volume preserving vector fields. Several examples of hyperkähler metrics are presented through the reductions of anti self-dual connections. For any gauge group anti self-dual connections on hyperkähler manifolds are constructed using the solutions of both Nahm and Laplace equations.

hep-th↗

Measuring the Beam Polarizations and the Luminosity at Photon-Photon Colliders

We present methods to measure the beam polarizations and the luminosity of $γγ$ colliders at TeV energy scale. The beam polarizations of a $γγ$ collider can easily be monitored by comparing the numbers of events of the processes $γγ$ $\rightarrow$ $\ell^+ \ell^-$ and $γγ$ $\rightarrow$ $W^+ W^-$, where $\ell$ means $e$ or $μ$. The luminosity of a $γγ$ collider is also measurable by the event rate of $W$ boson pair productions and the light lepton pair productions.

hep-ph↗