Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings

BORSATO, Riccardo a Jörgen Linus WULFF. Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings. Journal of High Energy Physics. New York: SPRINGER, 2018, roč. 2018, č. 8, s. 1-27. ISSN 1029-8479. Dostupné z: https://dx.doi.org/10.1007/JHEP08(2018)027.

Základní údaje

• Originální název: Non-abelian T-duality and Yang-Baxter deformations of Green-Schwarz strings
• Autoři: BORSATO, Riccardo (380 Itálie) a Jörgen Linus WULFF (752 Švédsko, garant, domácí).
• Vydání: Journal of High Energy Physics, New York, SPRINGER, 2018, 1029-8479.

Další údaje

• Originální jazyk: angličtina
• Typ výsledku: Článek v odborném periodiku
• Obor: 10303 Particles and field physics
• Stát vydavatele: Spojené státy
• Utajení: není předmětem státního či obchodního tajemství
• Impakt faktor: Impact factor: 5.833
• Kód RIV: RIV/00216224:14310/18:00106603
• Organizační jednotka: Přírodovědecká fakulta
• Doi: http://dx.doi.org/10.1007/JHEP08(2018)027
• UT WoS: 000441224800002
• Klíčová slova anglicky: Sigma Models; String Duality; Superstrings and Heterotic Strings; Integrable Field Theories
• Příznaky: Mezinárodní význam, Recenzováno

Anotace

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.