Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Open topological strings and integrable hierarchies: Remodeling the
  A-model   We set up, purely in A-model terms, a novel formalism for the global solution
of the open and closed topological A-model on toric Calabi-Yau threefolds. The
starting point is to build on recent progress in the mathematical theory of
open Gromov-Witten invariants of orbifolds; we interpret the localization
formulae as relating D-brane amplitudes to closed string amplitudes perturbed
with twisted masses through an analogue of the "loop insertion operator" of
matrix models. We first generalize this form of open/closed string duality to
general toric backgrounds in all chambers of the stringy Kaehler moduli space;
secondly, we display a neat connection of the (gauged) closed string side to
tau functions of 1+1 Hamiltonian integrable hierarchies, and exploit it to
provide an effective computation of open string amplitudes. In doing so, we
also provide a systematic treatment of the change of flat open moduli induced
by a phase transition in the closed moduli space. We test our proposal in
detail by providing an extensive number of checks. We also use our formalism to
give a localization-based derivation of the Hori-Vafa spectral curves as coming
from a resummation of A-model disc instantons.

21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph