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Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 22018 (English)In: Journal of High Energy Physics (JHEP), ISSN 1126-6708, E-ISSN 1029-8479, no 8, article id 027Article in journal (Refereed) Published
Abstract [en]

We perform non-abelian T-duality for a generic Green-Schwarz string with respect to an isometry (super)group G, and we derive the transformation rules for the supergravity background fields. Specializing to G bosonic, or G fermionic but abelian, our results reproduce those available in the literature. We discuss also continuous deformations of the T-dual models, obtained by adding a closed B-field before the dualization. This idea can also be used to generate deformations of the original (un-dualized) model, when the 2-cocycle identified from the closed B is invertible. The latter construction is the natural generalization of the so-called Yang-Baxter deformations, based on solutions of the classical Yang-Baxter equation on the Lie algebra of G and originally constructed for group manifolds and (super)coset sigma models. We find that the deformed metric and B-field are obtained through a generalization of the map between open and closed strings that was used also in the discussion by Seiberg and Witten of non-commutative field theories. When applied to integrable sigma models these deformations preserve the integrability.

Place, publisher, year, edition, pages
2018. no 8, article id 027
Keywords [en]
Sigma Models, String Duality, Superstrings and Heterotic Strings, Integrable Field Theories
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-160171DOI: 10.1007/JHEP08(2018)027ISI: 000441224800002OAI: oai:DiVA.org:su-160171DiVA, id: diva2:1248793
Available from: 2018-09-17 Created: 2018-09-17 Last updated: 2018-09-17Bibliographically approved

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Borsato, Riccardo
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