Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: String field theory and brane superpotentials   I discuss tree-level amplitudes in cubic topological string field theory,
showing that a certain family of gauge conditions leads to an A-infty algebra
of tree-level string products which define a potential describing the dynamics
of physical states. Upon using results of modern deformation theory, I show
that the string moduli space admits two equivalent descriptions, one given in
standard Maurer-Cartan fashion and another given in terms of a `homotopy
Maurer-Cartan problem', which describes the critical set of the potential. By
applying this construction to the topological A and B models, I obtain an
intrinsic formulation of `D-brane superpotentials' in terms of string field
theory data. This gives a prescription for computing such quantities to all
orders, and proves the equivalence of this formulation with the fundamental
description in terms of string field moduli. In particular, it clarifies the
relation between the Chern-Simons/holomorphic Chern-Simons actions and the
superpotential for A/B-type branes.

24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas