Yang-Mills instantons and dyons on homogeneous G2-manifolds

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  • Joint Institute for Nuclear Research (JINR)
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OriginalspracheEnglisch
Aufsatznummer44
FachzeitschriftJournal of high energy physics
Jahrgang2010
Ausgabenummer10
PublikationsstatusVeröffentlicht - 2010

Abstract

We consider LieG-valued Yang-Mills fields on the space ℝ × G/H, where G/H is a compact nearly Kähler six-dimensional homogeneous space, and the manifold ℝ ×G/H carries a G2-structure. After imposing a general G-invariance condition, Yang-Mills theory with torsion on ℝ ×G/H is reduced to Newtonian mechanics of a particle moving in ℝ6, ℝ4 or ℝ2 under the influence of an inverted double-well-type potential for the cases G/H = SU(3)/U(1)×U(1), Sp(2)/Sp(1)×U(1) or G2/SU(3), respectively. We analyze all critical points and present analytical and numerical kink-and bounce-type solutions, which yield G-invariant instanton configurations on those cosets. Periodic solutions on S1 ×G/H and dyons on iℝ ×G/H are also given.

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Yang-Mills instantons and dyons on homogeneous G2-manifolds. / Bauer, Irina; Ivanova, Tatiana A.; Lechtenfeld, Olaf et al.
in: Journal of high energy physics, Jahrgang 2010, Nr. 10, 44, 2010.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Bauer I, Ivanova TA, Lechtenfeld O, Lubbe F. Yang-Mills instantons and dyons on homogeneous G2-manifolds. Journal of high energy physics. 2010;2010(10):44. doi: 10.48550/arXiv.1006.2388, 10.1007/JHEP10(2010)044
Bauer, Irina ; Ivanova, Tatiana A. ; Lechtenfeld, Olaf et al. / Yang-Mills instantons and dyons on homogeneous G2-manifolds. in: Journal of high energy physics. 2010 ; Jahrgang 2010, Nr. 10.
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abstract = "We consider LieG-valued Yang-Mills fields on the space ℝ × G/H, where G/H is a compact nearly K{\"a}hler six-dimensional homogeneous space, and the manifold ℝ ×G/H carries a G2-structure. After imposing a general G-invariance condition, Yang-Mills theory with torsion on ℝ ×G/H is reduced to Newtonian mechanics of a particle moving in ℝ6, ℝ4 or ℝ2 under the influence of an inverted double-well-type potential for the cases G/H = SU(3)/U(1)×U(1), Sp(2)/Sp(1)×U(1) or G2/SU(3), respectively. We analyze all critical points and present analytical and numerical kink-and bounce-type solutions, which yield G-invariant instanton configurations on those cosets. Periodic solutions on S1 ×G/H and dyons on iℝ ×G/H are also given.",
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T1 - Yang-Mills instantons and dyons on homogeneous G2-manifolds

AU - Bauer, Irina

AU - Ivanova, Tatiana A.

AU - Lechtenfeld, Olaf

AU - Lubbe, Felix

N1 - Copyright: Copyright 2019 Elsevier B.V., All rights reserved.

PY - 2010

Y1 - 2010

N2 - We consider LieG-valued Yang-Mills fields on the space ℝ × G/H, where G/H is a compact nearly Kähler six-dimensional homogeneous space, and the manifold ℝ ×G/H carries a G2-structure. After imposing a general G-invariance condition, Yang-Mills theory with torsion on ℝ ×G/H is reduced to Newtonian mechanics of a particle moving in ℝ6, ℝ4 or ℝ2 under the influence of an inverted double-well-type potential for the cases G/H = SU(3)/U(1)×U(1), Sp(2)/Sp(1)×U(1) or G2/SU(3), respectively. We analyze all critical points and present analytical and numerical kink-and bounce-type solutions, which yield G-invariant instanton configurations on those cosets. Periodic solutions on S1 ×G/H and dyons on iℝ ×G/H are also given.

AB - We consider LieG-valued Yang-Mills fields on the space ℝ × G/H, where G/H is a compact nearly Kähler six-dimensional homogeneous space, and the manifold ℝ ×G/H carries a G2-structure. After imposing a general G-invariance condition, Yang-Mills theory with torsion on ℝ ×G/H is reduced to Newtonian mechanics of a particle moving in ℝ6, ℝ4 or ℝ2 under the influence of an inverted double-well-type potential for the cases G/H = SU(3)/U(1)×U(1), Sp(2)/Sp(1)×U(1) or G2/SU(3), respectively. We analyze all critical points and present analytical and numerical kink-and bounce-type solutions, which yield G-invariant instanton configurations on those cosets. Periodic solutions on S1 ×G/H and dyons on iℝ ×G/H are also given.

KW - Differential and algebraic geometry

KW - Flux compactifications

KW - Solitons monopoles and instantons

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U2 - 10.48550/arXiv.1006.2388

DO - 10.48550/arXiv.1006.2388

M3 - Article

AN - SCOPUS:84856389203

VL - 2010

JO - Journal of high energy physics

JF - Journal of high energy physics

SN - 1126-6708

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M1 - 44

ER -

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