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Linear sigma models with strongly coupled phases — one parameter models

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Abstract

We systematically construct a class of two-dimensional (2, 2) supersymmetric gauged linear sigma models with phases in which a continuous subgroup of the gauge group is totally unbroken. We study some of their properties by employing a recently developed technique. The focus of the present work is on models with one Kähler parameter. The models include those corresponding to Calabi-Yau threefolds, extending three examples found earlier by a few more, as well as Calabi-Yau manifolds of other dimensions and non-Calabi-Yau manifolds. The construction leads to predictions of equivalences of D-brane categories, systematically extending earlier examples. There is another type of surprise. Two distinct superconformal field theories corresponding to Calabi-Yau threefolds with different Hodge numbers, h 2,1 = 23 versus h 2,1 = 59, have exactly the same quantum Kähler moduli space. The strong-weak duality plays a crucial rôle in confirming this, and also is useful in the actual computation of the metric on the moduli space.

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Correspondence to Kentaro Hori.

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ArXiv ePrint: 1308.6265

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Hori, K., Knapp, J. Linear sigma models with strongly coupled phases — one parameter models. J. High Energ. Phys. 2013, 70 (2013). https://doi.org/10.1007/JHEP11(2013)070

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