Topological amplitudes in heterotic superstring theory

Topological Amplitudes in Heterotic Superstring Theory ⋆

We show that certain heterotic string amplitudes are given in terms of correlators of the twisted topological (2,0) SCFT, corresponding to the internal sector of the N = 1 spacetime supersymmetric background. The genus g topological partition function F g corresponds to a term in the effective action of the form W 2g , where W is the gauge or gravitational superfield. We study also recursion re...

Scattering amplitudes in open superstring theory

Topological amplitudes in heterotic strings with Wilson lines

We consider d=4, N = 2 compactifications of heterotic strings with an arbitrary number of Wilson lines. In particular, we focus on known chains of candidate heterotic/type II duals. We give closed expressions for the topological amplitudes F (g) in terms of automorphic forms of SO(2 + k, 2,Z), and find agreement with the geometric data of the dual K3 fibrations wherever those are known. a marle...

Topological Amplitudes in String Theory

We show that certain type II string amplitudes at genus g are given by the topologi-cal partition function F g discussed recently by Bershadsky, Cecotti, Ooguri and Vafa. These amplitudes give rise to a term in the four-dimensional effective action of the form g F g W 2g , where W is the chiral superfield of N = 2 supergravitational multi-plet. The holomorphic anomaly of F g is related to non-l...

Heterotic parafermionic superstring.

Superstrings have been postulated based on parafermionic partition functions which permit spacetime supersymmetry by generalized Jacobi identities. A comprehensive search finds new such identities. Quadrilateral anomaly cancellation gives constraints on allowed chiral fermions. Bosonic left-movers and Z4 parafermionic right-movers combine in a new heterotic superstring, more constrained than th...