Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Poisson-generalized geometry and $R$-flux   We study a new kind of Courant algebroid on Poisson manifolds, which is a
variant of the generalized tangent bundle in the sense that the roles of
tangent and the cotangent bundle are exchanged. Its symmetry is a semidirect
product of $\beta$-diffeomorphisms and $\beta$-transformations. It is a
starting point of an alternative version of the generalized geometry based on
the cotangent bundle, such as Dirac structures and generalized Riemannian
structures. In particular, $R$-fluxes are formulated as a twisting of this
Courant algebroid by a local $\beta$-transformations, in the same way as
$H$-fluxes are the twist of the generalized tangent bundle. It is a $3$-vector
classified by Poisson $3$-cohomology and it appears in a twisted bracket and in
an exact sequence.

25
The categories of this paper are: patt-sol
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
16
The categories of this paper are: stat
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs