TY - JOUR

T1 - Effective action of domain wall networks

AU - Eto, Minoru

AU - Fujimori, Toshiaki

AU - Nagashima, Takayuki

AU - Nitta, Muneto

AU - Ohashi, Keisuke

AU - Sakai, Norisuke

PY - 2007/2/14

Y1 - 2007/2/14

N2 - 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 Kähler potential of their effective action. In the large size limit Kähler metric is well approximated by kinetic energy of walls and junctions, which is understood in terms of tropical geometry. Kähler potential can be expressed in terms of hypergeometric functions that 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.

AB - 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 Kähler potential of their effective action. In the large size limit Kähler metric is well approximated by kinetic energy of walls and junctions, which is understood in terms of tropical geometry. Kähler potential can be expressed in terms of hypergeometric functions that 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.

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U2 - 10.1103/PhysRevD.75.045010

DO - 10.1103/PhysRevD.75.045010

M3 - Article

AN - SCOPUS:33847043536

SN - 1550-7998

VL - 75

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

IS - 4

M1 - 045010

ER -