Freefield representations and geometry of some Gepner models
Abstract
The geometry of the k ^{ K } Gepner model, where k + 2 = 2 K, is investigated by a freefield representation known as the “ bcβγ” system. Using this representation, we directly show that the internal sector of the model is given by LandauGinzburg ℂ^{ K }/&Z;_{2 K } orbifold. Then we consider the deformation of the orbifold by a marginal antichiralchiral operator. Analyzing the chiral de Rham complex structure in the holomorphic sector, we show that it coincides with chiral de Rham complex of some toric manifold, where toric data are given by certain fermionic screening currents. This allows relating the Gepner model deformed by the marginal operator to a σmodel on the CY manifold realized as a double cover of ℙ^{ K  1} with ramification along a certain submanifold.
 Publication:

Soviet Journal of Experimental and Theoretical Physics
 Pub Date:
 September 2010
 DOI:
 10.1134/S1063776110090062
 arXiv:
 arXiv:0912.5253
 Bibcode:
 2010JETP..111..375P
 Keywords:

 High Energy Physics  Theory
 EPrint:
 LaTex, 14 pages, some acknowledgments added