Compactification and supersymmetry in d = 11 supergravity

Candelas, Philip; Raine, Derek

doi:10.1016/0550-3213(84)90604-7

Cited by 57 publications

(94 citation statements)

References 7 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…Supersymmetry requires that all the ν's vanish in a Calabi-Yau vacuum [3]. Since at the classical level the ν's can be continuously adjusted to zero, their effects can be summarized in a supersymmetric, 4-dimensional effective action in which the ν's appear as coupling constants.…”

Section: Iia Compactification With Ramond-ramond Backgroundsmentioning

confidence: 99%

See 1 more Smart Citation

New vacua for type II string theory

1996

View full text Add to dashboard Cite

Lorentz-invariant expectation values for antisymmetric tensor field strengths in Calabi-Yau compactification of IIA string theory are considered. These are found to impart magnetic and/or electric charges to the dilaton hypermultiplet. This results in a potential which can have supersymmetric minima at zero coupling or at conifold points in the moduli space. The latter occurs whenever the dilaton charge is aligned with that of the light black hole at the conifold. It is shown that there is a flat direction extending from the conifold along which there is a black hole condensate whose strength is of order the string coupling g s . It is speculated that these new vacua correspond to string compactification on generalized Calabi-Yau spaces which have c 1 = 0 but are not Kahler.

show abstract

Section: Iia Compactification With Ramond-ramond Backgroundsmentioning

confidence: 99%

“…3 Life becomes much more interesting when one includes the effects of the charged BPS black holes (which can also be represented as D-branes [1]). In the IIA theory these arise from 0-, 2-, 4-, and 6-branes which wrap minimal, supersymmetric cycles in X.…”

Section: The Scalar Potential Near a Conifoldmentioning

confidence: 99%

New vacua for type II string theory

1996

View full text Add to dashboard Cite

show abstract

“…We will need below some γ matrix identities which can be found in e.g. [77]. The G 2 holonomy condition on Y can be expressed in terms of the spinor η by the fact that it is covariantly constant with respect to the Levi-Civita connection…”

Section: Spinor Perspectivementioning

confidence: 99%

Infinitesimal moduli of G2 holonomy manifolds with instanton bundles

Ossa

Larfors

Svanes

2016

J. High Energ. Phys.

View full text Add to dashboard Cite

Abstract:We describe the infinitesimal moduli space of pairs (Y, V ) where Y is a manifold with G 2 holonomy, and V is a vector bundle on Y with an instanton connection. These structures arise in connection to the moduli space of heterotic string compactifications on compact and non-compact seven dimensional spaces, e.g. domain walls. Employing the canonical G 2 cohomology developed by Reyes-Carrión and Fernández and Ugarte, we show that the moduli space decomposes into the sum of the bundle moduli H 1 d A (Y, End(V )) plus the moduli of the G 2 structure preserving the instanton condition. The latter piece is contained in H 1 d θ (Y, T Y ), and is given by the kernel of a mapF which generalises the concept of the Atiyah map for holomorphic bundles on complex manifolds to the case at hand. In fact, the mapF is given in terms of the curvature of the bundle and maps, and moreover can be used to define a cohomology on an extension bundle of T Y by End(V ). We comment further on the resemblance with the holomorphic Atiyah algebroid and connect the story to physics, in particular to heterotic compactifications on (Y, V ) when α = 0.

show abstract

“…Although Spin(7) manifolds are perhaps less relevant to the construction of realistic models than G 2 manifolds, they expose other aspects of M-theory, related to the interesting dynamics of the N = 1 effective theory in 2+1 dimensions [4]. In compactification on G 2 -manifolds supersymmetry and zero cosmological constant require the 4-form field strength G to vanish [48,49,50], whereas -as we will see presently -in M-theory on Spin(7)-manifolds there is more freedom, and non-trivial G-flux can be consistent with supersymmetry.…”

Section: Introductionmentioning

confidence: 99%