Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transitive Courant Algebroids, String Structures and T-duality   In this paper, we use reduction by extended actions to give a construction of
transitive Courant algebroids from string classes. We prove that T-duality
commutes with the reductions and thereby determine global conditions for the
existence of T-duals in heterotic string theory. In particular we find that
T-duality exchanges string structures and gives an isomorphism of transitive
Courant algebroids. Consequently we derive the T-duality transformation for
generalised metrics and show that the heterotic Einstein equations are
preserved. The presence of string structures significantly extends the domain
of applicability of T-duality and this is illustrated by several classes of
examples.

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The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg