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19962022
most citedToric Geometry and Enhanced Gauge Symmetry of F-Theory/Heterotic Vacua

99 citations · 196 across the 13 of their papers we have counts for

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7 papers · 1 filter

hep-th1999★ 3 cited

On the Hypermultiplet Moduli Space of Heterotic Compactifications with Small Instantons

Eugene Perevalov

We explore a relation between four-dimensional N=2 heterotic vacua induced by Mirror Symmetry via Heterotic/Type II duality. It allows us to compute the α' corrections to the hyper…

hep-th1997★ 17 cited

Mirror Symmetry via Deformation of Bundles on K3 Surfaces

Eugene Perevalov, Govindan Rajesh

We consider F-theory compactifications on a mirror pair of elliptic Calabi-Yau threefolds. This yields two different six-dimensional theories, each of them being nonperturbatively…

hep-th1997★ 7 cited

Matter from Toric Geometry

Philip Candelas, Eugene Perevalov, Govindan Rajesh

We present an algorithm for obtaining the matter content of effective six-dimensional theories resulting from compactification of F-theory on elliptic Calabi-Yau threefolds which a…

hep-th1997★ 99 cited

Toric Geometry and Enhanced Gauge Symmetry of F-Theory/Heterotic Vacua

Philip Candelas, Eugene Perevalov, Govindan Rajesh

We study F-theory compactified on elliptic Calabi-Yau threefolds that are realised as hypersurfaces in toric varieties. The enhanced gauge group as well as the number of massless t…

hep-th1997★ 31 cited

Enhanced Gauge Symmetry in Type II and F-Theory Compactifications: Dynkin Diagrams from Polyhedra

Eugene Perevalov, Harald Skarke

We explain the observation by Candelas and Font that the Dynkin diagrams of nonabelian gauge groups occurring in type IIA and F-theory can be read off from the polyhedron tha…

hep-th1997★ 18 cited

Comments on A,B,C Chains of Heterotic and Type II Vacua

Philip Candelas, Eugene Perevalov, Govindan Rajesh

We construct, as hypersurfaces in toric varieties, Calabi-Yau manifolds corresponding to F-theory vacua dual to E8*E8 heterotic strings compactified to six dimensions on K3 surface…