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Superintegrability of geodesic motion on the sausage model
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA. Uppsala University, Sweden; Stockholm University, Sweden.
2017 (English)In: Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, E-ISSN 1751-8121, Vol. 50, no 24, 244002Article in journal (Refereed) Published
Abstract [en]

Reduction of the eta-deformed sigma model on AdS(5) x S-5 to the two-dimensional squashed sphere (S-2)eta can be viewed as a special case of the Fateev sausage model where the coupling constant v is imaginary. We show that geodesic motion in this model is described by a certain superintegrable mechanical system with four-dimensional phase space. This is done by means of explicitly constructing three integrals of motion which satisfy the sl(2) Poisson algebra relations, albeit being non-polynomial in momenta. Further, we find a canonical transformation which transforms the Hamiltonian of this mechanical system to the one describing the geodesic motion on the usual two-sphere. By inverting this transformation we map geodesics on this auxiliary two-sphere back to the sausage model.

Place, publisher, year, edition, pages
Institute of Physics Publishing (IOPP), 2017. Vol. 50, no 24, 244002
Keyword [en]
AdS/CFT correspondence, integrability, geodesic Motion, Fateev sausage model, integrable deformation, Hamiltonian mechanics
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-209287DOI: 10.1088/1751-8121/aa6e0cISI: 000402553000001Scopus ID: 2-s2.0-85019547330OAI: oai:DiVA.org:kth-209287DiVA: diva2:1111522
Note

QC 20170619

Available from: 2017-06-19 Created: 2017-06-19 Last updated: 2017-06-19Bibliographically approved

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Medina-Rincon, Daniel
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