2008/10/22 by Yu Nakayama · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Bundle #Combinatorics #Context (archaeology) #Coset #Duality (order theory) #Fiber bundle #Gauge theory #Heterotic string theory #Homotopy and Cohomology in Algebraic Topology #Liouville field theory #Mathematical physics #Mathematics #Moduli space #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Relationship between string theory and quantum field theory #S-duality #Sigma #Sigma model #String (physics) #String theory #T-duality #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/03/062
published in Journal of High Energy Physics 2009(03), 062 (Springer Nature) · 34 pages
arxiv created 2008/10/22 · openalex publication_date 2009/03/10 · arxiv updated 2011/04/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study (0,2) deformations of N=2 Liouville field theory and its mirror duality. A gauged linear sigma model construction of the ultraviolet theory connects (0,2) deformations of Liouville field theory and (0,2) deformations of N=2 SL(2,R)/U(1) coset model as a mirror duality. Our duality proposal from the gauged linear sigma model completely agrees with the exact CFT analysis. In the context of heterotic string compactifications, the deformation corresponds to the introduction of a non-trivial gauge bundle. This non-compact Landau-Ginzburg construction yields a novel way to study the gauge bundle moduli for non-compact Calabi-Yau manifolds.