Hybrid conformal field theories
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We describe a class of (2,2) superconformal field theories obtained by fibering a Landau-Ginzburg orbifold CFT over a compact Kähler base manifold. While such models are naturally obtained as phases in a gauged linear sigma model, our construction is independent of such an embedding. We discuss the general properties of such theories and present a technique to study the massless spectrum of the associated heterotic compactification. We test the validity of our method by applying it to hybrid phases of linear models and comparing spectra among the phases.
KeywordsSuperstrings and Heterotic Strings Conformal Field Models in String Theory
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- R. Lazarsfeld, A Series of Modern Surveys in Mathematics. Volume 48: Positivity in algebraic geometry. I, Springer-Verlag, Berlin, (2004).Google Scholar
- J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, (1992).Google Scholar
- W. Ballmann, Lectures on Kähler manifolds, ESI Lectures in Mathematics and Physics, European Mathematical Society (EMS), Zürich, (2006) doi: 10.4171/025.
- E. Calabi, Métriques kählériennes et fibrés holomorphes, Ann. Sci. École Norm. Sup. (4) 12 (1979) 269.Google Scholar
- D. Freedman and G. Gibbons, Remarks on supersymmetry and Kähler geometry, in Superspace and supergravity, S. Hawking and M. Rocek, eds., Cambridge University Press, (1981).Google Scholar
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