# Evidence for F theory

@article{Vafa1996EvidenceFF, title={Evidence for F theory}, author={Cumrun Vafa}, journal={Nuclear Physics}, year={1996}, volume={469}, pages={403-415} }

Abstract We construct compact examples of D-manifolds for type IIB strings. The construction has a natural interpretation in terms of compactification of a 12-dimensional `F-theory'. We provide evidence for a more natural reformulation of type IIB theory in terms of F-theory. Compactification of M-theory on a manifold K which admits elliptic fibration is equivalent to compactification of F-theory on K × S 1 . A large class of N = 1 theories in 6 dimensions are obtained by compactification of F… Expand

#### 1,403 Citations

ON FOUR-DIMENSIONAL COMPACTIFICATIONS OF F-THEORY

- Physics
- 1997

Abstract Branches of moduli space of F-theory in four dimensions are investigated. The transition between two branches is described as a 3-brane-instanton transition on a 7-brane. A dual heterotic… Expand

Recent advances in F-theory compactifications

- Physics
- 2012

We review recent progress in the construction of F-theory compactifications on elliptically fibered Calabi-Yau 4-folds. Of special importance is the resolution of the singularities in complex… Expand

Physics of F-theory compactifications without section

- Physics
- 2014

A bstractWe study the physics of F-theory compactifications on genus-one fibrations without section by using an M-theory dual description. The five-dimensional action obtained by considering M-theory… Expand

The N=1 effective action of F-theory compactifications

- Physics
- 2011

The four-dimensional N = 1 effective action of F-theory compactified on a Calabi- Yau fourfold is studied by lifting a three-dimensional M-theory compactification. The lift is performed by using… Expand

Compactifications of F-theory on Calabi-Yau threefolds. (I)

- Physics
- 1996

Abstract We continue our study of compactifications of F-theory on Calabi-Yau threefolds. We gain more insight into F-theory duals of heterotic strings and provide a recipe for building F-theory… Expand

Type II string theory and modularity

- Physics, Mathematics
- 2005

This paper, in a sense, completes a series of three papers. In the previous two [1],[2], we have explored the possibility of refining the K-theory partition function in type II string theories using… Expand

A Spin(7) Conifold Transition in Type IIB as an F-theory Flop

- Physics
- 2004

We consider type IIB string theory compactified on an 8-dimensional Spin(7) manifold with N D5-branes, undergoing a conifold transition to a geometry with no branes and N units of dual 3-form RR flux… Expand

Mathematics Underlying the F-Theory/Heterotic String Duality in Eight Dimensions

- Mathematics, Physics
- 2005

We give an analytic description of the moduli space of classical vacua for F-theory compactified on elliptic K3 surfaces, on open tubular regions near the two Type II boundary divisors. The structure… Expand

Evidence for F(uzz) theory

- Physics
- 2010

We show that in the decoupling limit of an F-theory compactification, the internal directions of the seven-branes must wrap a non-commutative four-cycle $ \mathcal{S} $. We introduce a general method… Expand

Lectures on F-theory compactifications and model building

- Physics, Mathematics
- 2010

These lecture notes are devoted to formal and phenomenological aspects of F-theory. We begin with a pedagogical introduction to the general concepts of F-theory, covering classic topics such as the… Expand

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