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arXiv · 1507.06494

Matrix factorizations and the Landau-Ginzburg/conformal field theory correspondence

Ana Ros Camacho
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Abstract

This is the author's PhD thesis, which focuses on the so-called Landau-Ginzburg/conformal field theory correspondence. This correspondence dates from the late 80s and early 90s in the physics literature and in particular, it predicts a relation between defects in Landau-Ginzburg models and defects in conformal field theories. This relation is supported by examples, but not understood in general, nor up to date is there a clear mathematical conjecture of the Landau-Ginzburg/conformal field theory correspondence. The pursuit of a precise mathematical statement of this conjecture continues to generate a rich mathematical output, and this PhD thesis is another contribution towards this end.

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BibTeXRIS

Ana Ros Camacho. 2015-07-23. Matrix factorizations and the Landau-Ginzburg/conformal field theory correspondence. https://arxiv.org/abs/1507.06494

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