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Q -Poincaré invariance of the AdS3 /CFT2 R -matrix
KTH, Centra, Nordic Institute for Theoretical Physics NORDITA.
2018 (engelsk)Inngår i: Physical Review D: covering particles, fields, gravitation, and cosmology, ISSN 2470-0010, E-ISSN 2470-0029, Vol. 97, nr 6, artikkel-id 066001Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We consider the exact R-matrix of AdS3/CFT2, which is the building block for describing the scattering of worldsheet excitations of the light-cone gauge-fixed backgrounds AdS3×S3×T4 and AdS3×S3×S3×S1 with pure Ramond-Ramond fluxes. We show that R is invariant under a "deformed boost" symmetry, for which we write an explicit exact coproduct, i.e. its action on two-particle states. When we include the boost, the symmetries of the R-matrix close into a q-Poincaré superalgebra. Our findings suggest that the recently discovered boost invariance in AdS5/CFT4 may be a common feature of AdS/CFT systems that are treatable with the exact techniques of integrability. With the aim of going towards a universal formulation of the underlying Hopf algebra, we also propose a universal form of the AdS3/CFT2 classical r-matrix. 

sted, utgiver, år, opplag, sider
American Physical Society , 2018. Vol. 97, nr 6, artikkel-id 066001
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URN: urn:nbn:se:kth:diva-227390DOI: 10.1103/PhysRevD.97.066001ISI: 000426781100009Scopus ID: 2-s2.0-85044842519OAI: oai:DiVA.org:kth-227390DiVA, id: diva2:1211083
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Export Date: 9 May 2018; Article. QC 20180530

Tilgjengelig fra: 2018-05-30 Laget: 2018-05-30 Sist oppdatert: 2018-05-30bibliografisk kontrollert

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