by
Vishnu Jejjala(Queen Mary, University of London)
→
Europe/Stockholm
A5:1041, CoPS group room
A5:1041, CoPS group room
Description
Four-dimensional CFTs dual to branes transverse to toric Calabi-Yau threefolds are described by bipartite graphs on a torus (dimer models). The theory of dessins d'enfants (children's drawings) describe these theories in terms of triples of permutations that multiply to one. Dessin d'enfants may be encoded as an elliptic curve equipped with a map to a sphere with three marked points. Symmetries of the superpotential acquire a geometric interpretation in this language. The complex structure of the elliptic curve relates to the R-charges of fields in the CFT in certain examples. This result is conjectured to hold in more general cases.