arXiv subjects

M. Nikbakht-Tehrani

Publications and source records attributed to M. Nikbakht-Tehrani.

4 recordsLinked to original sources

arXiv1998

A Note on (0,2) Models on Calabi-Yau Complete Intersections

In the class of (0,2) heterotic compactifications which has been constructed in the framework of gauged linear sigma models the Calabi-Yau varieties X are realized as complete intersections of hypersurfaces in toric varieties IP and the corresponding gauge bundles (or more generally gauge sheaves) E are defined by some short exact sequences. We show that there is yet another degree of freedom in resolving singularities in such models which is related to the possible choices of nef partitions of the anticanonical divisors in Gorenstein Fano toric varieties IP.

hep-th↗

arXiv1998

On the Cohomology of Twisting Sheaves on Toric Varieties

Using the homogeneous coordinate ring construction of a toric variety IP defined by a complete simplicial fan and the methods of local cohomology theory we develop a framework for the calculation of cohomology groups H^{*}(IP, O(p)) of twisting sheaves O(p) on IP.

math.AG↗

arXiv1996

On the Calabi-Yau Phase of (0,2) Models

We study the Calabi-Yau phase of a certain class of (0,2) models. These are conjectured to be equivalent to exact (0,2) superconformal field theories which have been constructed recently. Using the methods of toric geometry we discuss in a few examples the problem of resolving the singularities of such models and calculate the Euler characteristic of the corresponding gauge bundles.

hep-th↗

arXiv1996

(0,2) string compactifications

Using the simple current method we study a class of $(0,2)$ SCFTs which we conjecture to be equivalent to (0,2) sigma models constructed in the framework of gauged linear sigma models.

hep-th↗