# Hints for Off-Shell Mirror Symmetry in type II/F-theory Compactifications

@article{Alim2010HintsFO, title={Hints for Off-Shell Mirror Symmetry in type II/F-theory Compactifications}, author={M. Alim and M. Hecht and H. Jockers and P. Mayr and A. Mertens and M. Soroush}, journal={Nuclear Physics}, year={2010}, volume={841}, pages={303-338} }

Abstract We perform a Hodge theoretic study of parameter dependent families of D-branes on compact Calabi–Yau manifolds in type II and F-theory compactifications. Starting from a geometric Gauss–Manin connection for B-type branes we study the integrability and flatness conditions. The B-model geometry defines an interesting ring structure of operators. For the mirror A-model this indicates the existence of an open-string extension of the so-called A-model connection, whereas the discovered ring… Expand

#### Tables from this paper

#### 70 Citations

Effective actions and topological strings : Off-shell mirror symmetry and mock modularity of multiple M5-branes

- Mathematics
- 2011

This thesis addresses two different topics within the field of string theory. In the first part it is shown how Hodge-theoretic methods in conjunction with open string mirror symmetry can be used to… Expand

Type II/F-theory superpotentials with several deformations and $ \mathcal{N} = 1 $ mirror symmetry

- Physics
- 2010

We present a detailed study of D-brane superpotentials depending on several open and closed-string deformations. The relative cohomology group associated with the brane defines a generalized… Expand

Effective Superpotentials of Type II D-brane/F-theory on Compact Complete Intersection Calabi-Yau Threefolds

- Physics, Mathematics
- 2015

In this paper, we extend the GKZ-system method to the more general case: compact Complete Intersection Calabi-Yau manifolds (CICY). For several one-deformation modulus compact CICYs with D-branes,… Expand

Five-brane superpotentials, blow-up geometries and SU(3) structure manifolds

- Physics
- 2011

We investigate the dynamics of space-time filling five-branes wrapped on curves in heterotic and orientifold Calabi-Yau compactifications. We first study the leading $ \mathcal{N} = 1 $ scalar… Expand

The N = 1 effective actions of D-branes in Type IIA and IIB orientifolds

- Physics
- 2012

Abstract We discuss the four-dimensional N = 1 effective actions of single space–time filling D p -branes in general Type IIA and Type IIB Calabi–Yau orientifold compactifications. The effective… Expand

Holomorphic Couplings In Non-Perturbative String Compactifications

- Physics
- 2012

In this review article we present an analysis of several aspects of four-dimensional, non-perturbative = 1 compactifications of string theory. Our study focuses on brane dynamics and their effective… Expand

D-brane superpotentials, SU(2) Ooguri-Vafa invariants and TypeII/F -theory duality

- Physics, Mathematics
- 2017

The phase transitions are studied for the D-brane systems with multiple open-string moduli in terms of toric geometry: between the parallel D-brane phase corresponding to the Coulomb branch and the… Expand

F-theoretic vs microscopic description of a conformal N=2 SYM theory

- Physics
- 2010

The F-theory background of four D7 branes in a type I' orientifold was
conjectured to be described by the Seiberg-Witten curve for the superconformal
SU(2) gauge theory with four flavors. This… Expand

On N=1 4d Effective Couplings for F-theory and Heterotic Vacua

- Physics
- 2009

We show that certain superpotential and Kahler potential couplings of N=1 supersymmetric compactifications with branes or bundles can be computed from Hodge theory and mirror symmetry. This applies… Expand

#### References

SHOWING 1-10 OF 99 REFERENCES

N=1 special geometry, mixed Hodge variations and toric geometry

- Physics
- 2002

We study the superpotential of a certain class ofN = 1 supersymmetric type II compactications with fluxes andD-branes. We show that it has an important two-dimensional meaning in terms of a chiral… Expand

Phases of supersymmetric D-branes on Kähler manifolds and the McKay correspondence

- Physics
- 2001

We study the topological zero mode sector of type II strings on a Kahler manifold X in the presence of boundaries. We construct two nite bases, in a sense bosonic and fermionic, that generate the the… Expand

The D5-brane effective action and superpotential in N=1 compactifications

- Physics
- 2009

Abstract The four-dimensional effective action for D5-branes in generic compact Calabi–Yau orientifolds is computed by performing a Kaluza–Klein reduction. The N = 1 Kahler potential, the… Expand

The effective action of D7-branes in N=1 Calabi-Yau orientifolds

- Physics
- 2005

Abstract Using a Kaluza–Klein reduction of the Dirac–Born–Infeld and Chern–Simons action we compute the four-dimensional N = 1 effective action for the massless modes of a D7-brane which is wrapped… Expand

Mirror symmetry, N = 1 superpotentials and tensionless strings on Calabi-Yau four-folds

- Physics
- 1996

We study aspects of Calabi-Yau four-folds as compactification manifolds of F-theory, using mirror symmetry of toric hypersurfaces. Correlation functions of the topological field theory are determined… Expand

Heterotic string/F-theory duality from mirror symmetry

- Physics, Mathematics
- 1998

We use local mirror symmetry in type IIA string compactifications on Calabi–Yau n + 1 folds Xn+1 to construct vector bundles on (possibly singular) elliptically fibered Calabi–Yau n-folds Zn. The… Expand

Disk Instantons, Mirror Symmetry and the Duality Web

- Physics
- 2002

We apply the methods recently developed for computation of type IIA disk instantons using mirror symmetry to a large class of D-branes wrapped over Lagrangian cycles of non-compact Calabi-Yau… Expand

Effective Superpotentials for Compact D5-Brane Calabi-Yau Geometries

- Mathematics, Physics
- 2009

For compact Calabi-Yau geometries with D5-branes we study N = 1 effective superpotentials depending on both open- and closed-string fields. We develop methods to derive the open/closed Picard-Fuchs… Expand

On N=1 Mirror Symmetry for Open Type II Strings

- Physics
- 2001

We study the open string extension of the mirror map for N=1 supersymmetric type II vacua with D-branes on non-compact Calabi-Yau manifolds. Its definition is given in terms of a system of… Expand

F-theory flux, destabilization of orientifolds and soft terms on D7-branes

- Physics
- 2006

Abstract We use F-theory to derive a general expression for the flux potential of type II compactifications with D7/D3 branes, including open string moduli and 2-form fluxes on the branes. Our main… Expand