Dynamical spin chains in 4D N = 2 SCFTs

dc.contributor.authorPomoni, Elli
dc.contributor.authorRabe, Randle
dc.contributor.authorZoubos, Konstantinos
dc.contributor.emailkzoubos@up.ac.zaen_US
dc.date.accessioned2022-10-27T11:40:51Z
dc.date.available2022-10-27T11:40:51Z
dc.date.issued2021-08-24
dc.description.abstractThis is the first in a series of papers devoted to the study of spin chains capturing the spectral problem of 4d N = 2 SCFTs in the planar limit. At one loop and in the quantum plane limit, we discover a quasi-Hopf symmetry algebra, defined by the R-matrix read off from the superpotential. This implies that when orbifolding the N = 4 symmetry algebra down to the N = 2 one and then marginaly deforming, the broken generators are not lost, but get upgraded to quantum generators. Importantly, we demonstrate that these chains are dynamical, in the sense that their Hamiltonian depends on a parameter which is dynamically determined along the chain. At one loop we map the holomorphic SU(3) scalar sector to a dynamical 15-vertex model, which corresponds to an RSOS model, whose adjacency graph can be read off from the gauge theory quiver/brane tiling. One scalar SU(2) sub-sector is described by an alternating nearest-neighbour Hamiltonian, while another choice of SU(2) sub-sector leads to a dynamical dilute Temperley-Lieb model. These sectors have a common vacuum state, around which the magnon dispersion relations are naturally uniformised by elliptic functions. Concretely, for the Z2 quiver theory we study these dynamical chains by solving the one- and two-magnon problems with the coordinate Bethe ansatz approach. We confirm our analytic results by numerical comparison with the explicit diagonalisation of the Hamiltonian for short closed chains.en_US
dc.description.departmentPhysicsen_US
dc.description.librarianam2022en_US
dc.description.sponsorshipSCOAP3.en_US
dc.description.urihttps://www.springer.com/journal/13130en_US
dc.identifier.citationPomoni, E., Rabe, R. & Zoubos, K. Dynamical spin chains in 4D N = 2 SCFTs. Journal of High Energy Physics 2021, 127 (2021). https://doi.org/10.1007/JHEP08(2021)127.en_US
dc.identifier.issn1126-6708 (print)
dc.identifier.issn1029-8479 (online)
dc.identifier.other10.1007/JHEP08(2021)127
dc.identifier.urihttps://repository.up.ac.za/handle/2263/88014
dc.language.isoenen_US
dc.publisherSpringeren_US
dc.rights© The Authors. Open Access. This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0).en_US
dc.subjectAdS-CFT correspondenceen_US
dc.subjectLattice integrable modelsen_US
dc.subjectQuantum groupsen_US
dc.subjectSupersymmetric gauge theoryen_US
dc.titleDynamical spin chains in 4D N = 2 SCFTsen_US
dc.typeArticleen_US

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