University of Birmingham > Talks@bham > Algebra Seminar  > Module tensor categories and the Landau-Ginzburg/conformal field theory correspondence

Module tensor categories and the Landau-Ginzburg/conformal field theory correspondence

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  • UserAna Ros Camacho (Cardiff University)
  • ClockWednesday 07 December 2022, 15:00-16:00
  • Houseonline via zoom.

If you have a question about this talk, please contact Matthew Westaway.

The Landau-Ginzburg/conformal field theory correspondence is a physics result from the late 80s and early 90s predicting some relation between categories of representations of vertex operator algebras and categories of matrix factorizations. At present we lack an explicit mathematical statement for this result, yet we have examples available. The only example of a tensor equivalence in this context was proved back in 2014 by Davydov-Runkel-RC, for representations of the N=2 unitary minimal model with central charge 3(1-2/d) (where d>2 is an integer) and matrix factorizations of the potential xd-yd. This equivalence was proved back in the day only for d odd, and in this talk we explain how to generalize this result for any d, realising these categories as module tensor categories enriched over ℤd-graded vector spaces. Joint work with T. Wasserman (University of Oxford).

This talk is part of the Algebra Seminar series.

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