Effective Action from M-Theory on Twisted Connected Sum G 2-Manifolds

We study the relationship between static p-brane solitons and cosmological solutions of string theory or M theory. We discuss two different ways in which extremal p-branes can be generalized to nonextremal ones, and show how wide classes of recently discussed cosmological models can be mapped into nonextremal p-brane solutions of one of these two kinds. We also extend previous discussions of cosmological solutions to include some that make use of cosmological-type terms in the effective action that can arise from the generalized dimensional reduction of string theory or M theory.

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Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds

Journal of High Energy Physics ◽

10.1007/jhep05(2012)019 ◽

2012 ◽

Vol 2012 (5) ◽

Cited By ~ 42

Author(s):

Federico Bonetti ◽

Thomas W. Grimm

Keyword(s):

Effective Action ◽

M Theory

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Deliberations on 11D superspace for the M-theory effective action

Physics Letters B ◽

10.1016/s0370-2693(01)00487-7 ◽

2001 ◽

Vol 508 (1-2) ◽

pp. 155-167 ◽

Cited By ~ 9

Author(s):

S.James Gates ◽

Hitoshi Nishino

Keyword(s):

Effective Action ◽

M Theory

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M-theory and orientifolds

Journal of High Energy Physics ◽

10.1007/jhep09(2020)065 ◽

2020 ◽

Vol 2020 (9) ◽

Cited By ~ 1

Author(s):

Andreas P. Braun

Keyword(s):

Building Blocks ◽

Open String ◽

Closed String ◽

Connected Sum ◽

M Theory

Abstract We construct the M-Theory lifts of type IIA orientifolds based on K3-fibred Calabi-Yau threefolds with compatible involutions. Such orientifolds are shown to lift to M-Theory on twisted connected sum G2 manifolds. Beautifully, the two building blocks forming the G2 manifold correspond to the open and closed string sectors. As an application, we show how to use such lifts to explicitly study open string moduli. Finally, we use our analysis to construct examples of G2 manifolds with different inequivalent TCS realizations.

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On the Superstrings-Induced Four-Dimensional Gravity and Its Applications to Cosmology

Advances in High Energy Physics ◽

10.1155/2008/521389 ◽

2008 ◽

Vol 2008 ◽

pp. 1-27 ◽

Cited By ~ 2

Author(s):

Masao Iihoshi ◽

Sergei V. Ketov

Keyword(s):

Effective Action ◽

Leading Order ◽

De Sitter ◽

Frw Cosmology ◽

Spacetime Singularity ◽

Spacetime Curvature ◽

The Status ◽

Dimensional Gravity ◽

Definition Of ◽

M Theory

We review the status of the fourth-order (quartic in the spacetime curvature) terms induced by superstrings/M-theory (compactified on a warped torus) in the leading order with respect to the Regge slope parameter, and study their (nonperturbative) impact on the evolution of the Hubble scale in the context of the four-dimensional FRW cosmology. After taking into account the quantum ambiguities in the definition of the off-shell superstring effective action, we propose the generalized Friedmann equations, find the existence of their (de Sitter) exact inflationary solutions without a spacetime singularity, and constrain the ambiguities by demanding stability and the scale factor duality invariance of our solutions. The most naive (Bel-Robinson tensor squared) quartic terms are ruled out, thus giving the evidence for the necessity of extra quartic (Ricci tensor-dependent) terms in the off-shell gravitational effective action for superstrings. Our methods are generalizable to the higher orders in the spacetime curvature.

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ON EFFECTIVE F-THEORY ACTION IN TYPE IIA COMPACTIFICATIONS

International Journal of Modern Physics A ◽

10.1142/s0217751x0703532x ◽

2007 ◽

Vol 22 (07) ◽

pp. 1279-1300 ◽

Cited By ~ 1

Author(s):

IGOR KRIZ ◽

HAO XING

Keyword(s):

String Theory ◽

Partition Function ◽

Effective Action ◽

Space Time ◽

Elliptic Cohomology ◽

Pontrjagin Class ◽

Geometric Term ◽

M Theory ◽

Special Case

Diaconescu, Moore and Witten proved that the partition function of type IIA string theory coincides (to the extent checked) with the partition function of M-theory. One of us (Kriz) and Sati proposed in a previous paper a refinement of the IIA partition function using elliptic cohomology and conjectured that it coincides with a partition function coming from F-theory. In this paper, we define the geometric term of the F-theoretical effective action on type IIA compactifications. In the special case when the first Pontrjagin class of space–time vanishes, we also prove a version of the Kriz–Sati conjecture by extending the arguments of Diaconescu–Moore–Witten. We also briefly discuss why even this special case allows interesting examples.

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