Speaker
Prof.
Norisuke Sakai
(Tokyo Institute of Technology)
Description
Domain walls have been useful to construct models of brane-world.
We study composite system of domain walls forming junctions and netwroks.
U(NC) gauge theory with NF fundamental scalars admits BPS junctions of domain
walls. When the networks/webs of these walls contain loops, their size moduli
give localized massless modes. We construct K"ahler potential of their effective
action. In the large size limit K"ahler metric is well approximated by kinetic
energy of walls and junctions, which is understood in terms of tropical geometry.
K"ahler potential can be expressed in terms of hypergeometric functions which
are useful to understand small size behavior.Even when the loop shrinks, the
metric is regular with positive curvature. Moduli space of a single triangle loop has
a geometry between a cone and a cigar.
Author
Prof.
Norisuke Sakai
(Tokyo Institute of Technology)
Co-authors
Dr
Keisuke Ohashi
(Tokyo Institute of Technology)
Dr
Minoru Eto
(INFN, Pisa)
Dr
Muneto Nitta
(Keio University)
Mr
Takayuki Nagashima
(Tokyo Institute of Technology)
Mr
Toshiaki Fujimori
(Tokyo Institute of Technology)