### Abstract

Configurations of vortex strings stretched between or ending on domain walls were previously found to be 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) states in N=2 supersymmetric gauge theories in 3+1 dimensions. Among zero modes of string positions, the center of mass of strings in each region between two adjacent domain walls is shown to be non-normalizable whereas the rests are normalizable. We study dynamics of vortex strings stretched between separated domain walls by using two methods, the moduli space (geodesic) approximation of full 1/4 BPS states and the charged particle approximation for string end points in the wall effective action. In the first method we explicitly obtain the effective Lagrangian in the strong coupling limit, which is written in terms of hypergeometric functions, and find the 90° scattering for head-on collision. In the second method the domain wall effective action is assumed to be U(1)N gauge theory, and we find a good agreement between two methods for well-separated strings.

Original language | English |
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Article number | 045015 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 79 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2009 Feb 18 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

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

*79*(4), [045015]. https://doi.org/10.1103/PhysRevD.79.045015

**Dynamics of strings between walls.** / Eto, Minoru; Fujimori, Toshiaki; Nagashima, Takayuki; Nitta, Muneto; Ohashi, Keisuke; Sakai, Norisuke.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 79, no. 4, 045015. https://doi.org/10.1103/PhysRevD.79.045015

}

TY - JOUR

T1 - Dynamics of strings between walls

AU - Eto, Minoru

AU - Fujimori, Toshiaki

AU - Nagashima, Takayuki

AU - Nitta, Muneto

AU - Ohashi, Keisuke

AU - Sakai, Norisuke

PY - 2009/2/18

Y1 - 2009/2/18

N2 - Configurations of vortex strings stretched between or ending on domain walls were previously found to be 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) states in N=2 supersymmetric gauge theories in 3+1 dimensions. Among zero modes of string positions, the center of mass of strings in each region between two adjacent domain walls is shown to be non-normalizable whereas the rests are normalizable. We study dynamics of vortex strings stretched between separated domain walls by using two methods, the moduli space (geodesic) approximation of full 1/4 BPS states and the charged particle approximation for string end points in the wall effective action. In the first method we explicitly obtain the effective Lagrangian in the strong coupling limit, which is written in terms of hypergeometric functions, and find the 90° scattering for head-on collision. In the second method the domain wall effective action is assumed to be U(1)N gauge theory, and we find a good agreement between two methods for well-separated strings.

AB - Configurations of vortex strings stretched between or ending on domain walls were previously found to be 1/4 Bogomol'nyi-Prasad-Sommerfield (BPS) states in N=2 supersymmetric gauge theories in 3+1 dimensions. Among zero modes of string positions, the center of mass of strings in each region between two adjacent domain walls is shown to be non-normalizable whereas the rests are normalizable. We study dynamics of vortex strings stretched between separated domain walls by using two methods, the moduli space (geodesic) approximation of full 1/4 BPS states and the charged particle approximation for string end points in the wall effective action. In the first method we explicitly obtain the effective Lagrangian in the strong coupling limit, which is written in terms of hypergeometric functions, and find the 90° scattering for head-on collision. In the second method the domain wall effective action is assumed to be U(1)N gauge theory, and we find a good agreement between two methods for well-separated strings.

UR - http://www.scopus.com/inward/record.url?scp=62549111754&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=62549111754&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.79.045015

DO - 10.1103/PhysRevD.79.045015

M3 - Article

AN - SCOPUS:62549111754

VL - 79

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 4

M1 - 045015

ER -