Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Amplitudes in String Theory   We show that certain type II string amplitudes at genus $g$ are given by the
topological 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 $\sum_g F_g W^{2g}$, where $W$ is the chiral
superfield of $N=2$ supergravitational multiplet. The holomorphic anomaly of
$F_g$ is related to non-localities of the effective action due to the
propagation of massless states. This result generalizes the holomorphic anomaly
of the one loop case which is known to lead to non-harmonic gravitational
couplings.

2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
3
The categories of this paper are: physics
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con