New Gauged Linear Sigma Models for 8D HyperKahler Manifolds and Calabi-Yau Crystals

Details New Gauged Linear Sigma Models for 8D HyperKahler Manifolds and Calabi-Yau Crystals New Gauged Linear Sigma Models for 8D HyperKahler Manifolds and Calabi-Yau Crystals

2009-10-28

arxiv.org/abs/0910.5298v3

JHEP 1002:006,2010

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 1 figure; v2: minor changes and references added; v3: statements improved, newer than JHEP version

Scientific paper

10.1007/JHEP02(2010)006

We propose two kinds of gauged linear sigma models whose moduli spaces are real eight-dimensional hyperKahler and Calabi-Yau manifolds, respectively. Here, hyperKahler manifolds have sp(2) holonomy in general and are dual to Type IIB (p,q)5-brane configurations. On the other hand, Calabi-Yau fourfolds are toric varieties expressed as quotient spaces. Our model involving fourfolds is different from the usual one which is directly related to a symplectic quotient procedure. Remarkable features in newly-found three-dimensional Chern-Simons-matter theories appear here as well, such as dynamical Fayet-Iliopoulos parameters, one dualized photon and its residual discrete gauge symmetry.

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