On Deformations of Generalized Complex Structures: the Generalized Calabi-Yau Case

نویسنده

  • Yi Li
چکیده

We prove an analog of the Tian-Todorov theorem for twisted generalized Calabi-Yau manifolds; namely, we show that the moduli space of generalized complex structures on a compact twisted generalized Calabi-Yau manifold is unobstructed and smooth. We also construct the extended moduli space and study its Frobenius structure. The physical implications are also discussed. CALT-68-2569

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Hypersurfaces and generalized deformations

The moduli space of generalized deformations of a Calabi-Yau hypersurface is computed in terms of the Jacobian ring of the defining polynomial. The fibers of the tangent bundle to this moduli space carry algebra structures, which are identified using subalgebras of a deformed Jacobian ring.

متن کامل

Hitchin Functionals and Nonspontaneous Supersymmetry Breaking

A new mechanism of supersymmetry breaking involving a dynamical parameter is introduced. It is independent of particle phenomenology and gauge groups. An explicit realization of this mechanism takes place in Type II superstring compactifications which admit eight supercharges (also known as generalized SU(3) structures). The resulting Ka̋hler potentials are expressed in terms of Hitchin function...

متن کامل

Generalized Calabi-Yau structures and mirror symmetry

We use the differential geometrical framework of generalized (almost) Calabi-Yau structures to reconsider the concept of mirror symmetry. It is shown that not only the metric and B-field but also the algebraic structures are uniquely mapped. As an example we use the six-torus as a trivial generalized Calabi-Yau 6-fold and an appropriate B-field.

متن کامل

Some Calabi–yau Threefolds with Obstructed Deformations over the Witt Vectors

I construct some smooth Calabi–Yau threefolds in characteristic two and three that do not lift to characteristic zero. These threefolds are pencils of supersingular K3-surfaces. The construction depends on Moret-Bailly’s pencil of abelian surfaces and Katsura’s analysis of generalized Kummer surfaces. The threefold in characteristic two turns out to be nonrigid.

متن کامل

Generalized Calabi - Yau Manifolds and the Mirror of a Rigid Manifold

The Z manifold is a Calabi–Yau manifold with b 21 = 0. At first sight it seems to provide a counter example to the mirror hypothesis since its mirror would have b 11 = 0 and hence could not be Kähler. However by identifying the Z manifold with the Gepner model 1 9 we are able to ascribe a geometrical interpretation to the mirror, ˜ Z, as a certain seven-dimensional manifold. The mirror manifold...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2005