scholarly journals Conformal invariance of (0, 2) sigma models on Calabi-Yau manifolds

2018 ◽  
Vol 2018 (3) ◽  
Author(s):  
Ian T. Jardine ◽  
Callum Quigley
Keyword(s):  
Sigma Models ◽  
Conformal Invariance ◽  
Calabi Yau Manifolds

scholarly journals A Generalized Construction of Calabi-Yau Models and Mirror Symmetry

2018 ◽  
Vol 4 (2) ◽  
Author(s):  
Per Berglund ◽  
Tristan Hubsch
Keyword(s):  
Sigma Models ◽  
General Class ◽  
Mirror Symmetry ◽  
Original Work ◽  
Convex Polytopes ◽  
Toric Varieties ◽  
Linear Sigma Models ◽  
Calabi Yau Manifolds

We extend the construction of Calabi-Yau manifolds to hypersurfaces in non-Fano toric varieties, requiring the use of certain Laurent defining polynomials, and explore the phases of the corresponding gauged linear sigma models. The associated non-reflexive and non-convex polytopes provide a generalization of Batyrev’s original work, allowing us to construct novel pairs of mirror models. We showcase our proposal for this generalization by examining Calabi-Yau hypersurfaces in Hirzebruch n-folds, focusing on n=3,4 sequences, and outline the more general class of so-defined geometries.

scholarly journals (8,0) Locally supersymmetric sigma models with conformal invariance in two dimensions

1987 ◽  
Vol 186 (2) ◽  
pp. 167-172 ◽  
Author(s):  
E. Bergshoeff ◽  
E. Sezgin ◽  
H. Nishino
Keyword(s):  
Sigma Models ◽  
Conformal Invariance ◽  
Two Dimensions
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