Home >> People
search arXiv.org.

Publications [#361435] of M. Ronen Plesser

Other Faculty Listings:   Faculty Alphabetically | By Rank | By Area

Papers Published

  1. Aspinwall, PS; Plesser, MR; Wang, K. "Mirror Symmetry and Discriminants." (February, 2017).
    (last updated on 2022/05/21)

    Abstract:
    We analyze the locus, together with multiplicities, of "bad" conformal field theories in the compactified moduli space of N=(2,2) superconformal field theories in the context of the generalization of the Batyrev mirror construction using the gauged linear sigma-model. We find this discriminant of singular theories is described beautifully by the GKZ "A-determinant" but only if we use a noncompact toric Calabi-Yau variety on the A-model side and logarithmic coordinates on the B-model side. The two are related by "local" mirror symmetry. The corresponding statement for the compact case requires changing multiplicities in the GKZ determinant. We then describe a natural structure for monodromies around components of this discriminant in terms of spherical functors. This can be considered a categorification of the GKZ A-determinant. Each component of the discriminant is naturally associated with a category of massless D-branes.