Abstract
Abstract (0,2) gauged linear sigma models with torsion, corresponding to principal torus bundles over warped CY bases, provide a useful framework for getting exact statements about perturbative dualities in the presence of fluxes. In this context we first study dualities mapping the torus fiber onto itself, implying the existence of quantization constraints on the torus moduli for consistency. Second, we investigate dualities mixing the principal torus bundle with the gauge bundle, relating the torsional GLSMs to ordinary ones corresponding to CY compactifications with non-standard embeddings, namely two classes of models with different target-space topologies.
Highlights
Moving away from the phenomenologically unappealing case of CY compactifications with standard embedding of the spin connection in the gauge connection is possible by changing the gauge bundle or adding three-form flux threading the compact geometry
We investigate dualities mixing the principal torus bundle with the gauge bundle, relating the torsional GLSMs to ordinary ones corresponding to CY compactifications with non-standard embeddings, namely two classes of models with different target-space topologies
Adding torsion to (0, 2) GLSMs was first understood in [3,4,5,6], where the torus bundle solutions mentioned in the last paragraph were obtained by canceling the worldsheet gauge anomaly coming from the non-standard gauge bundle against classically non gauge-invariant axial couplings of chiral multiplets with a gauged shift-symmetry
Summary
We summarize briefly the construction of gauged linear sigma-models with torsion discovered in [3], highlighting the most salient features for our present purposes, and discuss in detail the quantization of the torus moduli. We shall first review the geometry of the torsional compactifications that they correspond to
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