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On non-abelian T-duality and deformations of supercoset string sigma-models
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 2
2017 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 10, 024Article in journal (Refereed) Published
Abstract [en]

We elaborate on the class of deformed T-dual (DTD) models obtained by first adding a topological term to the action of a supercoset sigma model and then performing (non-abelian) T-duality on a subalgebra (g) over tilde of the superisometry algebra. These models inherit the classical integrability of the parent one, and they include as special cases the socalled homogeneous Yang-Baxter sigma models as well as their non-abelian T-duals. Many properties of DTD models have simple algebraic interpretations. For example we show that their (non-abelian) T-duals - including certain deformations - are again in the same class, where (g) over tilde gets enlarged or shrinks by adding or removing generators corresponding to the dualised isometries. Moreover, we show that Weyl invariance of these models is equivalent to (g) over tilde being unimodular; when this property is not satisfied one can always remove one generator to obtain a unimodular (g) over tilde, which is equivalent to (formal) T-duality. We also work out the target space super fields and, as a by-product, we prove the conjectured transformation law for Ramond-Ramond (RR) fields under bosonic non-abelian T-duality of supercosets, generalising it to cases involving also fermionic T-dualities.

Place, publisher, year, edition, pages
2017. no 10, 024
Keyword [en]
Integrable Field Theories, String Duality
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-149031DOI: 10.1007/JHEP10(2017)024ISI: 000412351500004OAI: oai:DiVA.org:su-149031DiVA: diva2:1157971
Available from: 2017-11-17 Created: 2017-11-17 Last updated: 2017-11-17Bibliographically approved

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Borsato, Riccardo
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