Duality and Fibrations on G2 Manifolds

Sergei GUKOV

Article Details

Duality and Fibrations on G2 Manifolds

Authors:

Sergei GUKOV

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2003 Vol.27 Issue 1, pp.61-98

Document Type:

Article

Publication Date:

12/2002

Document Language:

Turkish

Document ID (Org No.):

2000748889

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Keywords:

Abstract:

 

We argue that G2 manifolds for M-theory admitting string  theory Calabi-Yau duals are fibered by coassociative submanifolds.   Dual theories are constructed using the moduli space of M-five-brane  fibers as target space.  Mirror symmetry and various string and  M-theory dualities involving G2 manifolds may be incorporated into  this framework.  To give some examples, we construct two non-compact  manifolds with G2 structures: one with a K3 fibration, and one  with a torus fibration and a metric of G2 holonomy.  Kaluza-Klein  reduction of the latter solution gives abelian BPS monopoles in 3 + 1  dimensions.

 

We argue that G2 manifolds for M-theory admitting string  theory Calabi-Yau duals are fibered by coassociative submanifolds.   Dual theories are constructed using the moduli space of M-five-brane  fibers as target space.  Mirror symmetry and various string and  M-theory dualities involving G2 manifolds may be incorporated into  this framework.  To give some examples, we construct two non-compact  manifolds with G2 structures: one with a K3 fibration, and one  with a torus fibration and a metric of G2 holonomy.  Kaluza-Klein  reduction of the latter solution gives abelian BPS monopoles in 3 + 1  dimensions.

Article Details

Duality and Fibrations on G2 Manifolds

Authors:

Sergei GUKOV

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2003 Vol.27 Issue 1, pp.61-98

Document Type:

Article

Publication Date:

12/2002

Document Language:

Turkish

Document ID (Org No.):

2000748889

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098

Turk. J. Math.

27

(2003)

61-98. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.27

iss.1.

Issues

Article Details

Duality and Fibrations on G2 Manifolds

Authors: Sergei GUKOV

Publisher: TUBITAK

Journal: Turkish Journal of Mathematics 2003 Vol.27 Issue 1, pp.61-98

Document Type: Article

Publication Date: 12/2002

Document Language: Turkish

Document ID (Org No.): 2000748889

Frequency: Bimonthly

eISSN: 1303-6149

pISSN: 1300-0098

Turk. J. Math.

27

(2003)

61-98. Full text: pdf Other articles published in the same issue: Turk. J. Math.

vol.27

iss.1.

Issues

Authors:

Sergei GUKOV

Publisher:

TUBITAK

Journal:

Turkish Journal of Mathematics 2003 Vol.27 Issue 1, pp.61-98

Document Type:

Article

Publication Date:

12/2002

Document Language:

Turkish

Document ID (Org No.):

2000748889

Frequency:

Bimonthly

eISSN:

1303-6149

pISSN:

1300-0098