Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Non-Linear Field Equation from Boundary State Formalism   Boundary interactions of closed-string with open-strings are examined
intended to provide a constructive formulation of boundary string field theory.
As an illustration, we consider the BPS $D$-brane of the type II superstring in
a constant NS-NS two-form background, and study the boundary interaction with
arbitrary configurations of gauge field on the brane. The boundary interaction
is presented, within the world-sheet cut-off theories, as an off-shell boundary
state in the closed-string Hilbert space. It is regarded as a closed-string
theoretical counterpart of the Wilson loop in the world-volume gauge theory. We
show that the action of the closed-string BRST operator on the boundary state
is translated into the non-linear BRST transformation of the open-string fields
on the world-volume. In particular, the BRST invariance condition at the
$\alpha'$-order becomes the non-linear equation of motion for the
non-commutative gauge theory. The action of the closed-string BRST operator on
the boundary state is also shown to be identified with the beta functions of
the world-sheet renormalization group flow.

11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio