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Yangian symmetry of string theory on AdS(3) x S-3 x S-3 x S-1 with mixed 3-form flux
Uppsala University, Disciplinary Domain of Science and Technology, Physics, Department of Physics and Astronomy, Theoretical Physics.
2018 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 935, p. 271-289Article in journal (Refereed) Published
Abstract [en]

We find the Yangian symmetry underlying the integrability of type IIB superstrings on AdS(3) x S-3 x S-3 x S-1 with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz flux. The abstract commutation relations of the Yangian are formulated via RTT realisation, while its matrix realisation is in an evaluation representation depending on the quantised coefficient of the Wess-Zumino term. The construction naturally encodes a secret symmetry of the worldsheet scattering matrix whose generators map different Yangian levels to each other. We show that in the large effective string tension limit the Yangian becomes a deformation of a unitary loop algebra and we derive its universal classical r-matrix.

Place, publisher, year, edition, pages
ELSEVIER SCIENCE BV , 2018. Vol. 935, p. 271-289
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:uu:diva-368096DOI: 10.1016/j.nuclphysb.2018.08.013ISI: 000446070200013OAI: oai:DiVA.org:uu-368096DiVA, id: diva2:1267667
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EU, European Research Council, 639220Available from: 2018-12-03 Created: 2018-12-03 Last updated: 2018-12-03Bibliographically approved

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Pittelli, Antonio

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