We study the topological sector of N = 2 sigma-models with HH-flux. It has been known for a long time that the target-space geometry of these theories is not Kähler and can be described in terms of a pair of complex structures, which do not commute, in general, and are parallel with respect to two different connections with torsion. Recently an alternative description of this geometry was found, which involves a pair of commuting twisted generalized complex structures on the target space. In this paper, we define and study the analogs of A and B-models for N = 2 sigma-models with HH-flux and show that the results are naturally expressed in the language of twisted generalized complex geometry. For example, the space of topological observable...
We construct the twistor space associated with an HKT manifold, that is, a hyper-K\"ahler manifold w...
On any Calabi-Yau manifold X one can define a certain sheaf of chiral N=2 superconformal field theor...
Mirror symmetry is one of the most beautiful symmetries in string theory. It helps us very effective...
We study the topological sector of N=2 sigma-models with H-flux. It has been known for a long time t...
In this paper we revisit the topological twisted sigma model with H-flux. We explicitly expand and t...
In this paper we revisit the topological twisted sigma model with H-flux. We explicitly expand and t...
BiHermitian geometry, discovered long ago by Gates, Hull and Roceck, is the most general sigma model...
We identify a deformation of the N=2 supersymmetric sigma model on a Calabi–Yau manifold X which has...
In this paper, we study the perturbative aspects of a twisted version of the two-dimensional $(0,2)$...
We find the conditions under which a Riemannian manifold equipped with a closed three-form and a vec...
A recently proposed variation on the usual procedure to perform the topological B-twist in rigid N=2...
We find the conditions under which a Riemannian manifold equipped with a closed three-form and a vec...
In this thesis we study the interplay between topological sigma models and generalized geometry. Fir...
In this thesis we study the interplay between topological sigma models and generalized geometry. Fir...
On any Calabi-Yau manifold X one can define a certain sheaf of chiral N=2 superconformal field theor...
We construct the twistor space associated with an HKT manifold, that is, a hyper-K\"ahler manifold w...
On any Calabi-Yau manifold X one can define a certain sheaf of chiral N=2 superconformal field theor...
Mirror symmetry is one of the most beautiful symmetries in string theory. It helps us very effective...
We study the topological sector of N=2 sigma-models with H-flux. It has been known for a long time t...
In this paper we revisit the topological twisted sigma model with H-flux. We explicitly expand and t...
In this paper we revisit the topological twisted sigma model with H-flux. We explicitly expand and t...
BiHermitian geometry, discovered long ago by Gates, Hull and Roceck, is the most general sigma model...
We identify a deformation of the N=2 supersymmetric sigma model on a Calabi–Yau manifold X which has...
In this paper, we study the perturbative aspects of a twisted version of the two-dimensional $(0,2)$...
We find the conditions under which a Riemannian manifold equipped with a closed three-form and a vec...
A recently proposed variation on the usual procedure to perform the topological B-twist in rigid N=2...
We find the conditions under which a Riemannian manifold equipped with a closed three-form and a vec...
In this thesis we study the interplay between topological sigma models and generalized geometry. Fir...
In this thesis we study the interplay between topological sigma models and generalized geometry. Fir...
On any Calabi-Yau manifold X one can define a certain sheaf of chiral N=2 superconformal field theor...
We construct the twistor space associated with an HKT manifold, that is, a hyper-K\"ahler manifold w...
On any Calabi-Yau manifold X one can define a certain sheaf of chiral N=2 superconformal field theor...
Mirror symmetry is one of the most beautiful symmetries in string theory. It helps us very effective...