Details
| Original language | English |
|---|---|
| Article number | 105028 |
| Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |
| Volume | 83 |
| Issue number | 10 |
| Publication status | Published - 27 May 2011 |
Abstract
Because of their explicit construction, Aloff-Wallach spaces are prominent in flux compactifications. They carry G2 structures and admit the G2-instanton equations, which are natural Bogomol'nyi-Prasad- Sommerfeld equations for Yang-Mills instantons on seven-manifolds and extremize a Chern-Simons-type functional. We consider the Chern-Simons flow between different G2 instantons on Aloff-Wallach spaces, which is equivalent to spin(7) instantons on a cylinder over them. For a general SU(3)-equivariant gauge connection, the generalized instanton equations turn into gradient-flow equations on C3×R2, with a particular cubic superpotential. For the simplest member of the Aloff-Wallach family (with 3-Sasakian structure) we present an explicit instanton solution of tanh-like shape.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
- Physics and Astronomy(all)
- Physics and Astronomy (miscellaneous)
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 83, No. 10, 105028, 27.05.2011.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Chern-Simons flows on Aloff-Wallach spaces and spin(7) instantons
AU - Haupt, Alexander S.
AU - Ivanova, Tatiana A.
AU - Lechtenfeld, Olaf
AU - Popov, Alexander D.
N1 - Copyright: Copyright 2011 Elsevier B.V., All rights reserved.
PY - 2011/5/27
Y1 - 2011/5/27
N2 - Because of their explicit construction, Aloff-Wallach spaces are prominent in flux compactifications. They carry G2 structures and admit the G2-instanton equations, which are natural Bogomol'nyi-Prasad- Sommerfeld equations for Yang-Mills instantons on seven-manifolds and extremize a Chern-Simons-type functional. We consider the Chern-Simons flow between different G2 instantons on Aloff-Wallach spaces, which is equivalent to spin(7) instantons on a cylinder over them. For a general SU(3)-equivariant gauge connection, the generalized instanton equations turn into gradient-flow equations on C3×R2, with a particular cubic superpotential. For the simplest member of the Aloff-Wallach family (with 3-Sasakian structure) we present an explicit instanton solution of tanh-like shape.
AB - Because of their explicit construction, Aloff-Wallach spaces are prominent in flux compactifications. They carry G2 structures and admit the G2-instanton equations, which are natural Bogomol'nyi-Prasad- Sommerfeld equations for Yang-Mills instantons on seven-manifolds and extremize a Chern-Simons-type functional. We consider the Chern-Simons flow between different G2 instantons on Aloff-Wallach spaces, which is equivalent to spin(7) instantons on a cylinder over them. For a general SU(3)-equivariant gauge connection, the generalized instanton equations turn into gradient-flow equations on C3×R2, with a particular cubic superpotential. For the simplest member of the Aloff-Wallach family (with 3-Sasakian structure) we present an explicit instanton solution of tanh-like shape.
UR - http://www.scopus.com/inward/record.url?scp=79960829241&partnerID=8YFLogxK
U2 - 10.1103/PhysRevD.83.105028
DO - 10.1103/PhysRevD.83.105028
M3 - Article
AN - SCOPUS:79960829241
VL - 83
JO - Physical Review D - Particles, Fields, Gravitation and Cosmology
JF - Physical Review D - Particles, Fields, Gravitation and Cosmology
SN - 1550-7998
IS - 10
M1 - 105028
ER -