BYU

Abstract by Joseph Ward

Personal Infomation


Presenter's Name

Joseph Ward

Co-Presenters

None

Degree Level

Undergraduate

Co-Authors

None

Abstract Infomation


Department

Mathematics

Faculty Advisor

Nathan Priddis

Title

A First Look at Nonabelian Mirror Symmetry

Abstract

Mirror symmetry predicts a surprising relationship between two string theory models known as the A-model and the B-model.  Given a polynomial W in n variables, a symmetry of W is a linear transformation that leaves the polynomial unchanged when applied to the variables. The A-model construction depends on W and the choice of symmetry group G.  Mirror symmetry occurs when the A-model construction for the pair (W, G) is isomorphic to the B-model construction for another pair.  This is well understood for symmetry groups represented by diagonal matrices - i.e. G is abelian - but almost nothing is known about mirror symmetry in the nonabelian case.  We are studying one example of mirror symmetry for a pair (W, G) with a nonabelian symmetry group.  In this talk, I will introduce this example and discuss what we have discovered so far.