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We review an approach for computing non-perturbative, exact superpotentials for Type II strings compactified on Calabi-Yau manifolds, with extra fluxes and D-branes on top. The method is based on an open string generalization of mirror…

高能物理 - 理论 · 物理学 2007-05-23 Wolfgang Lerche

We define the notion of mirror of a Calabi-Yau manifold with a stable bundle in the context of type II strings in terms of supersymmetric cycles on the mirror. This allows us to relate the variation of Hodge structure for cohomologies…

高能物理 - 理论 · 物理学 2007-05-23 Cumrun Vafa

We continue the study of a class of string-motivated effective supergravity theories in light of current data from the CERN Large Hadron Collider (LHC). In this installment we consider Type IIB string theory compactified on a Calabi-Yau…

高能物理 - 唯象学 · 物理学 2014-04-23 Bryan Kaufman , Brent D. Nelson

We use toric geometry to study open string mirror symmetry on compact Calabi-Yau manifolds. For a mirror pair of toric branes on a mirror pair of toric hypersurfaces we derive a canonical hypergeometric system of differential equations,…

高能物理 - 理论 · 物理学 2009-10-02 M. Alim , M. Hecht , P. Mayr , A. Mertens

We consider F-theory compactifications on a mirror pair of elliptic Calabi-Yau threefolds. This yields two different six-dimensional theories, each of them being nonperturbatively equivalent to some compactification of heterotic strings on…

高能物理 - 理论 · 物理学 2009-10-30 Eugene Perevalov , Govindan Rajesh

We describe a class of supersymmetric gauged linear sigma-model, whose target space is the infinite dimensional space of bundles on a Calabi-Yau 3- or 2-fold. This target space can be considered the configuration space of D-branes wrapped…

高能物理 - 理论 · 物理学 2009-10-31 C. Hofman , J. -S. Park

According to the generalized GKZ system for CY manifold with brane and the open-closed Mirror map, We calculate the off-shell D-Brane/F-Theory effective superpotentials and Ooguri-Vafa invariants of several compact Calabi-Yau manifolds .

高能物理 - 理论 · 物理学 2015-06-15 Shi Cheng , Feng-Jun Xu , Fu-Zhong Yang

The moduli dependence of $(2,2)$ superstring compactifications based on Calabi--Yau hypersurfaces in weighted projective space has so far only been investigated for Fermat-type polynomial constraints. These correspond to Landau-Ginzburg…

高能物理 - 理论 · 物理学 2014-11-18 P. Berglund , S. Katz , A. Klemm

We discuss mirror symmetry in generalized Calabi-Yau compactifications of type II string theories with background NS fluxes. Starting from type IIB compactified on Calabi-Yau threefolds with NS three-form flux we show that the mirror type…

高能物理 - 理论 · 物理学 2014-11-18 Sebastien Gurrieri , Jan Louis , Andrei Micu , Daniel Waldram

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 duals for arbitrary heterotic compactifications on…

高能物理 - 理论 · 物理学 2010-11-19 David R. Morrison , Cumrun Vafa

Compactifications of type II theories on Calabi-Yau threefolds including electric and magnetic background fluxes are discussed. We derive the bosonic part of the four-dimensional low energy effective action and show that it is a…

高能物理 - 理论 · 物理学 2010-11-19 Jan Louis , Andrei Micu

We study the Gepner model description of D-branes in Calabi-Yau manifolds with singular curves. From a geometrical point of view, the resolution of singularities leads to additional homology cycles around which branes can wrap. Using…

高能物理 - 理论 · 物理学 2010-11-19 Ilka Brunner , Volker Schomerus

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 coincident phase corresponding to the…

高能物理 - 理论 · 物理学 2018-04-09 Xiao-Tian Jiang , Fu-Zhong Yang

The D-brane superpotential is very important in the low energy effective theory. As the generating function of all disk instantons from the worldsheet point of view, it plays a crucial role in deriving some important properties of the…

高能物理 - 理论 · 物理学 2016-01-20 Shan-Shan Zhang , Fu-Zhong Yang

We study Landau Ginzburg (LG) theories mirror to 2D N=2 gauged linear sigma models on toric Calabi-Yau manifolds. We derive and solve new constraint equations for Landau Ginzburg elliptic Calabi-Yau superpotentials, depending on the…

高能物理 - 理论 · 物理学 2008-11-26 Adil Belhaj

If $X$ and $Y$ are a mirror pair of Calabi--Yau threefolds, mirror symmetry should extend to an isomorphism between the type IIA string theory compactified on $X$ and the type IIB string theory compactified on $Y$, with all nonperturbative…

高能物理 - 理论 · 物理学 2009-10-28 David R. Morrison

We argue that D-branes corresponding to rational B boundary states in a Gepner model can be understood as fractional branes in the Landau-Ginzburg orbifold phase of the linear sigma model description. Combining this idea with the…

高能物理 - 理论 · 物理学 2007-05-23 Duiliu-Emanuel Diaconescu , Michael R. Douglas

Using mirror symmetry, we show that Chern-Simons theory on certain manifolds such as lens spaces reduces to a novel class of Hermitian matrix models, where the measure is that of unitary matrix models. We show that this agrees with the more…

高能物理 - 理论 · 物理学 2009-11-07 Mina Aganagic , Albrecht Klemm , Marcos Marino , Cumrun Vafa

An orientifold of Type-IIB theory on a $K3$ realized as a $Z_2$ orbifold is constructed which corresponds to F-theory compactification on a Calabi-Yau orbifold with Hodge numbers $(51, 3)$. The T-dual of this model is analogous to an…

高能物理 - 理论 · 物理学 2009-10-30 Atish Dabholkar , Jaemo Park

We consider non-compact branes in topological string theories on a class of Calabi-Yau spaces including the resolved conifold and its mirror. We compute the amplitudes of the insertion of non-compact Lagrangian branes in the A-model on the…

高能物理 - 理论 · 物理学 2009-11-11 Seungjoon Hyun , Sang-Heon Yi