On effective F-theory action in type IIA compactifications
نویسندگان
چکیده
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. Supported by NSF grant DMS 0305853; E-mail:[email protected] E-mail:[email protected]
منابع مشابه
Aspects of Moduli Stabilisation in String and M-theory
In this thesis we study compactifications of type II string theories and M-theory to four dimensions. We construct the four-dimensional N = 2 supergravities that arise from compactifications of type IIA string theory and M-theory on manifolds with SU(3)structure. We then study their potential for moduli stabilisation and give explicit examples where all the moduli are stabilised. We also study ...
متن کاملTwo Two - Dimensional Supergravity Theories from Calabi - Yau Four - Folds
We consider two-dimensional supergravity theories with four supercharges constructed from compactification of Type II string theory on a generic Calabi-Yau four-fold. In Type IIA and Type IIB cases, respectively, new superspace formulations of N = (2, 2) and N = (0, 4) dilaton supergravities are found and their coupling to matter multiplets is discussed. 1. Introduction For a long time, compact...
متن کاملIIA String Theory on Calabi-Yau Fourfolds with Background Fluxes
Looking for string vacua with fixed moduli, we study compactifications of type IIA string theory on Calabi-Yau fourfolds in the presence of generic Ramond-Ramond fields. We explicitly derive the (super)potential induced by Ramond-Ramond fluxes performing a Kaluza-Klein reduction of the ten-dimensional effective action. This can be conveniently achieved in a formulation of the massive type IIA s...
متن کاملEffective action of (massive) IIA on manifolds with SU(3) structure
In this paper we consider compactifications of massive type IIA supergravity on manifolds with SU(3) structure. We derive the gravitino mass matrix of the effective four-dimensional N = 2 theory and show that vacuum expectation values of the scalar fields naturally induce spontaneous partial supersymmetry breaking. We go on to derive the superpotential and the Kähler potential for the resulting...
متن کاملStringy Cosmic Strings and Compactifications of F-theory
We construct stringy cosmic string solutions corresponding to compactifications of Ftheory on several elliptic Calabi-Yau manifolds by solving the equations of motion of low energy effective action of ten dimensional type IIB superstring theory. Existence of such solutions supports the compactifications of F-theory. E-mail address: [email protected]
متن کامل