Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: T-duality, Gerbes and Loop Spaces   We revisit sigma models on target spaces given by a principal torus fibration
$X\to M$, and show how treating the 2-form B as a gerbe connection captures the
gauging obstructions and the global constraints on the T-duality. We show that
a gerbe connection on X, which is invariant with respect to the torus action,
yields an affine double torus fibration Y over the base space M - the
generalization of the correspondence space. We construct a symplectic form on
the cotangent bundle to the loop space LY and study the relation of its
symmetries to T-duality. We find that geometric T-duality is possible if and
only if the torus symmetry is generated by Hamiltonian vector fields. Put
differently, the obstruction to T-duality is the non-Hamiltonian action of the
symmetry group.

17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
2
The categories of this paper are: math
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat