Hidden isometry of "T-duality without isometry"

Abstract

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.

15 pages

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Cited by in corpus (6)

• Non-abelian T-folds
• Momentum sections in Hamiltonian mechanics and sigma models
• Lie Algebroid Gauging of Non-linear Sigma Models
• Poisson-Lie T-plurality revisited. Is T-duality unique?
• Plane-parallel waves as duals of the flat background III: T-duality with torsionless $B$-field
• Poisson-Lie identities and dualities of Bianchi cosmologies