Knotted instantons from annihilations of monopole-instanton complex

Muneto Nitta

doi:10.1142/S0217751X13501728

Knotted instantons from annihilations of monopole-instanton complex

Muneto Nitta

Faculty of Business and Commerce

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Monopoles and instantons are sheets (membranes) and strings in d = 5+1 dimension, respectively, and instanton strings can terminate on monopole sheets. We consider a pair of monopole and antimonopole sheets which is unstable to decay and results in a creation of closed instanton strings. We show that when an instanton string is stretched between the monopole sheets, there remains a new topological soliton of codimension five after the pair annihilation, i.e. a twisted closed instanton string or a knotted instanton.

Original language	English
Article number	1350172
Journal	International Journal of Modern Physics A
Volume	28
Issue number	32
DOIs	https://doi.org/10.1142/S0217751X13501728
Publication status	Published - 2013 Dec 30

Keywords

Hopfions
Solitons
domain walls
instantons
kinks
knot solitons
monopoles
pair annihilation
vortices

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics
Nuclear and High Energy Physics
Astronomy and Astrophysics

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10.1142/S0217751X13501728

Cite this

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title = "Knotted instantons from annihilations of monopole-instanton complex",

abstract = "Monopoles and instantons are sheets (membranes) and strings in d = 5+1 dimension, respectively, and instanton strings can terminate on monopole sheets. We consider a pair of monopole and antimonopole sheets which is unstable to decay and results in a creation of closed instanton strings. We show that when an instanton string is stretched between the monopole sheets, there remains a new topological soliton of codimension five after the pair annihilation, i.e. a twisted closed instanton string or a knotted instanton.",

keywords = "Hopfions, Solitons, domain walls, instantons, kinks, knot solitons, monopoles, pair annihilation, vortices",

author = "Muneto Nitta",

note = "Funding Information: I would like to thank Toshiaki Fujimori for a discussion. This work is supported in part by Grant-in Aid for Scientific Research (Nos. 23740198 and 25400268) and by the “Topological Quantum Phenomena” Grant-in Aid for Scientific Research on Innovative Areas (Nos. 23103515 and 25103720) from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan.",

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N1 - Funding Information: I would like to thank Toshiaki Fujimori for a discussion. This work is supported in part by Grant-in Aid for Scientific Research (Nos. 23740198 and 25400268) and by the “Topological Quantum Phenomena” Grant-in Aid for Scientific Research on Innovative Areas (Nos. 23103515 and 25103720) from the Ministry of Education, Culture, Sports, Science and Technology (MEXT) of Japan.

PY - 2013/12/30

Y1 - 2013/12/30

N2 - Monopoles and instantons are sheets (membranes) and strings in d = 5+1 dimension, respectively, and instanton strings can terminate on monopole sheets. We consider a pair of monopole and antimonopole sheets which is unstable to decay and results in a creation of closed instanton strings. We show that when an instanton string is stretched between the monopole sheets, there remains a new topological soliton of codimension five after the pair annihilation, i.e. a twisted closed instanton string or a knotted instanton.

AB - Monopoles and instantons are sheets (membranes) and strings in d = 5+1 dimension, respectively, and instanton strings can terminate on monopole sheets. We consider a pair of monopole and antimonopole sheets which is unstable to decay and results in a creation of closed instanton strings. We show that when an instanton string is stretched between the monopole sheets, there remains a new topological soliton of codimension five after the pair annihilation, i.e. a twisted closed instanton string or a knotted instanton.

KW - Hopfions

KW - Solitons

KW - domain walls

KW - instantons

KW - kinks

KW - knot solitons

KW - monopoles

KW - pair annihilation

KW - vortices

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JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

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Knotted instantons from annihilations of monopole-instanton complex

Abstract

Keywords

ASJC Scopus subject areas

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