76,215 research outputs found
Hidden isometry of "T-duality without isometry"
We study the T-dualisability criteria of Chatzistavrakidis, Deser and Jonke
[3] who recently used Lie algebroid gauge theories to obtain sigma models
exhibiting a "T-duality without isometry". We point out that those
T-dualisability criteria are not written invariantly in [3] and depend on the
choice of the algebroid framing. We then show that there always exists an
isometric framing for which the Lie algebroid gauging boils down to standard
Yang-Mills gauging. The "T-duality without isometry" of Chatzistavrakidis,
Deser and Jonke is therefore nothing but traditional isometric non-Abelian
T-duality in disguise.Comment: 15 page
Reflexivity of the automorphism and isometry groups of the suspension of
The aim of this paper is to show that the automorphism and isometry groups of
the suspension of , being a separable infinite dimensional Hilbert
space, are algebraically reflexive. This means that every local automorphism,
respectively local surjective isometry of is an
automorphism, respectively a surjective isometry
- …