Vector fields on manifolds

Thomas, Emery

doi:10.1090/s0002-9904-1969-12240-8

Cited by 100 publications

(56 citation statements)

References 69 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Introducing the variable bÎ = (b 12 , b I ), we see that the Calabi-Yau constraint (4.6) can be written asTÎ 19) which has the same form as (5.6). Hence, both the isometries and the constraints are holomorphic in the variableb + iζ 3 .…”

Section: Jhep04(2013)058mentioning

confidence: 99%

Enhanced supersymmetry from vanishing Euler number

Kashani-Poor

Minasian

Triendl

2013

J. High Energ. Phys.

View full text Add to dashboard Cite

We argue that compactifications on Calabi-Yau threefolds with vanishing Euler number yield effective four dimensional theories exhibiting (spontaneously broken) N = 4 supersymmetry. To this end, we derive the low-energy effective action for general SU(2) structure manifolds in type IIA string theory and show its consistency with gauged N = 4 supergravity. Focusing on the special case of Calabi-Yau manifolds with vanishing Euler number, we explain the absence of perturbative corrections at the two-derivative level. In addition, we conjecture that all non-perturbative corrections are governed and constrained by the couplings of N = 4 massive gravitino multiplets.

show abstract

Section: Jhep04(2013)058mentioning

confidence: 99%

Enhanced supersymmetry from vanishing Euler number

Kashani-Poor

Minasian

Triendl

2013

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

“…But this is not the most general case. Since on any 7-manifold, that is spin, exist up to three independent vector fields [40], one can always define SU(2)-structures. We shall add here a warning.…”

Section: Introductionmentioning

confidence: 99%

Fluxes in M-theory on 7-manifolds: G-structures and superpotential

Behrndt

Jeschek

2004

Nuclear Physics B

View full text Add to dashboard Cite

We consider compactifications of M-theory on 7-manifolds in the presence of 4-form fluxes, which leave at least four supercharges unbroken. We focus especially on the case, where the 7-manifold supports two spinors which are SU(3) singlets and the fluxes appear as specific SU(3) structures. We derive the constraints on the fluxes imposed by supersymmetry and calculate the resulting 4-dimensional superpotential.

show abstract

“…However, for a presentation of the results of Lima, Novikov, and Rosenberg-RoussarieWeil on the rank of 3-manifolds (cf. §1C), see [TS1].…”

mentioning

confidence: 95%