Journal article
Linear sigma models with strongly coupled phases - One parameter models
K Hori, J Knapp
Journal of High Energy Physics | SPRINGER | Published : 2013
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 dis..
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Awarded by Japan Society for the Promotion of Science
Funding Acknowledgements
We would like to thank Alexey Bondal, Richard Eager, David Favero, Sergey Galkin, Daniel Halpern-Leistner, Shinobu Hosono, Ludmil Katzarkov, Alexander Kuznetsov, Dave Morrison, Tony Pantev, Mauricio Romo, Hiromichi Takagi and Duco van Straten for discussions, instructions and encouragement. J.K. would like to thank Hans Jockers, Wolfgang Lerche, Emanuel Scheidegger, Eric Sharpe and Harald Skarke for helpful discussions. This work was supported by WPI Initiative, MEXT, Japan at Kavli IPMU, the University of Tokyo. The research of KH was also supported by JSPS Grant-in-Aid for Scientific Research No. 21340109.