Yang-Mills instantons and dyons on homogeneous G2-manifolds

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Standard

Yang-Mills instantons and dyons on homogeneous G2-manifolds. / Bauer, Irina; Ivanova, Tatiana A.; Lechtenfeld, Olaf; Lubbe, Felix.

I: Journal of High Energy Physics, Bind 2010, Nr. 10, 44, 01.01.2010.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Bauer, I, Ivanova, TA, Lechtenfeld, O & Lubbe, F 2010, 'Yang-Mills instantons and dyons on homogeneous G2-manifolds', Journal of High Energy Physics, bind 2010, nr. 10, 44. https://doi.org/10.1007/JHEP10(2010)044

APA

Bauer, I., Ivanova, T. A., Lechtenfeld, O., & Lubbe, F. (2010). Yang-Mills instantons and dyons on homogeneous G2-manifolds. Journal of High Energy Physics, 2010(10), [44]. https://doi.org/10.1007/JHEP10(2010)044

Vancouver

Bauer I, Ivanova TA, Lechtenfeld O, Lubbe F. Yang-Mills instantons and dyons on homogeneous G2-manifolds. Journal of High Energy Physics. 2010 jan. 1;2010(10). 44. https://doi.org/10.1007/JHEP10(2010)044

Author

Bauer, Irina ; Ivanova, Tatiana A. ; Lechtenfeld, Olaf ; Lubbe, Felix. / Yang-Mills instantons and dyons on homogeneous G2-manifolds. I: Journal of High Energy Physics. 2010 ; Bind 2010, Nr. 10.

Bibtex

@article{c1765d55c2c04d39b698c0b72349fe1e,
title = "Yang-Mills instantons and dyons on homogeneous G2-manifolds",
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.",
keywords = "Differential and algebraic geometry, Flux compactifications, Solitons monopoles and instantons",
author = "Irina Bauer and Ivanova, {Tatiana A.} and Olaf Lechtenfeld and Felix Lubbe",
year = "2010",
month = jan,
day = "1",
doi = "10.1007/JHEP10(2010)044",
language = "English",
volume = "2010",
journal = "Journal of High Energy Physics (Online)",
issn = "1126-6708",
publisher = "Springer",
number = "10",

}

RIS

TY - JOUR

T1 - Yang-Mills instantons and dyons on homogeneous G2-manifolds

AU - Bauer, Irina

AU - Ivanova, Tatiana A.

AU - Lechtenfeld, Olaf

AU - Lubbe, Felix

PY - 2010/1/1

Y1 - 2010/1/1

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

UR - http://www.scopus.com/inward/record.url?scp=84856389203&partnerID=8YFLogxK

U2 - 10.1007/JHEP10(2010)044

DO - 10.1007/JHEP10(2010)044

M3 - Journal article

AN - SCOPUS:84856389203

VL - 2010

JO - Journal of High Energy Physics (Online)

JF - Journal of High Energy Physics (Online)

SN - 1126-6708

IS - 10

M1 - 44

ER -

ID: 233725622