# New methods for N=2 amplitudes in string theory (10.04.)

Ioannis Florakis (MPP Munich)

10.04.2014 at 16:15

In this series of 4 lectures, I will provide a pedagogical review of recently developed

techniques for evaluating one-loop (BPS) amplitudes in N=2 string theory. The first

lecture will contain a basic introduction to the simplest N=2 amplitude, the vacuum

amplitude for the heterotic string on K3 x T2, and then move on to discuss gauge

and gravitational threshold corrections. Subsequent lectures (presumably on April

16, 23, 24) will aim to discuss useful techniques in the theory of modular forms, the

Niebur-Poincaré basis of harmonic Maass forms, and the Rankin-Selberg method for

evaluating modular integrals. Applications will include the explicit study of

holomorphic prepotentials using the theory of Eichler integrals, of Yukawa couplings,

of congruence subgroup methods useful in vacua with partial spontaneous

supersymmetry breaking and, finally, applications to N=2 topological amplitudes.

Arnold Sommerfeld Center

Theresienstrasse 37

Room 348/349