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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Maths HEP Lunchtime Seminars: Quantum field theories and children's drawings

Presented by Vishnu Jejjala, Witwatersrand

10 February 2012 13:00 in CM221

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. I propose a D-brane
interpretation of the complex structure parameter.

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