### Abstract

We study Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian semilocal vortices in U(NC) gauge theory with NF flavors, NF>NC, in the Higgs phase. The moduli space for an arbitrary winding number is described using the moduli matrix formalism. We find a relation between the moduli spaces of the semilocal vortices in Seiberg-like dual pairs of theories, U(NC) and U(NF-NC). They are two alternative regularizations of a parent non-Hausdorff space, which tend to the same moduli space of sigma model lumps in the infinite gauge coupling limits. We examine the normalizability of the zero-modes and find the somewhat surprising phenomenon that the number of normalizable zero-modes, dynamical fields in the effective action, depends on the point of the moduli space we are considering. We find, in the lump limit, an effective action on the vortex world sheet, which we compare to that found by Shifman and Yung.

Original language | English |
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Article number | 105002 |

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

Volume | 76 |

Issue number | 10 |

DOIs | |

Publication status | Published - 2007 Nov 2 |

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### ASJC Scopus subject areas

- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Mathematical Physics

### Cite this

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

*76*(10), [105002]. https://doi.org/10.1103/PhysRevD.76.105002

**On the moduli space of semilocal strings and lumps.** / Eto, Minoru; Evslin, Jarah; Konishi, Kenichi; Marmorini, Giacomo; Nitta, Muneto; Ohashi, Keisuke; Vinci, Walter; Yokoi, Naoto.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 76, no. 10, 105002. https://doi.org/10.1103/PhysRevD.76.105002

}

TY - JOUR

T1 - On the moduli space of semilocal strings and lumps

AU - Eto, Minoru

AU - Evslin, Jarah

AU - Konishi, Kenichi

AU - Marmorini, Giacomo

AU - Nitta, Muneto

AU - Ohashi, Keisuke

AU - Vinci, Walter

AU - Yokoi, Naoto

PY - 2007/11/2

Y1 - 2007/11/2

N2 - We study Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian semilocal vortices in U(NC) gauge theory with NF flavors, NF>NC, in the Higgs phase. The moduli space for an arbitrary winding number is described using the moduli matrix formalism. We find a relation between the moduli spaces of the semilocal vortices in Seiberg-like dual pairs of theories, U(NC) and U(NF-NC). They are two alternative regularizations of a parent non-Hausdorff space, which tend to the same moduli space of sigma model lumps in the infinite gauge coupling limits. We examine the normalizability of the zero-modes and find the somewhat surprising phenomenon that the number of normalizable zero-modes, dynamical fields in the effective action, depends on the point of the moduli space we are considering. We find, in the lump limit, an effective action on the vortex world sheet, which we compare to that found by Shifman and Yung.

AB - We study Bogomol'nyi-Prasad-Sommerfield (BPS) non-Abelian semilocal vortices in U(NC) gauge theory with NF flavors, NF>NC, in the Higgs phase. The moduli space for an arbitrary winding number is described using the moduli matrix formalism. We find a relation between the moduli spaces of the semilocal vortices in Seiberg-like dual pairs of theories, U(NC) and U(NF-NC). They are two alternative regularizations of a parent non-Hausdorff space, which tend to the same moduli space of sigma model lumps in the infinite gauge coupling limits. We examine the normalizability of the zero-modes and find the somewhat surprising phenomenon that the number of normalizable zero-modes, dynamical fields in the effective action, depends on the point of the moduli space we are considering. We find, in the lump limit, an effective action on the vortex world sheet, which we compare to that found by Shifman and Yung.

UR - http://www.scopus.com/inward/record.url?scp=35848947539&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=35848947539&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.76.105002

DO - 10.1103/PhysRevD.76.105002

M3 - Article

AN - SCOPUS:35848947539

VL - 76

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 10

M1 - 105002

ER -