Matches in SemOpenAlex for { <https://semopenalex.org/work/W2008280180> ?p ?o ?g. }
- W2008280180 abstract "The motion of strings on symmetric space target spaces underlies the integrability of the AdS/CFT correspondence. Although these theories, whose excitations are giant magnons, are non-relativistic they are classically equivalent, via the Polhmeyer reduction, to a relativistic integrable field theory known as a symmetric space sine-Gordon theory. These theories can be formulated as integrable deformations of gauged WZW models. In this work we consider the class of symmetric spaces CP^{n+1} and solve the corresponding generalized sine-Gordon theories at the quantum level by finding the exact spectrum of topological solitons, or kinks, and their S-matrix. The latter involves a trignometric solution of the Yang-Baxer equation which exhibits a quantum group symmetry with a tower of states that is bounded, unlike for magnons, as a result of the quantum group deformation parameter q being a root of unity. We test the S-matrix by taking the semi-classical limit and comparing with the time delays for the scattering of classical solitons. We argue that the internal CP^{n-1} moduli space of collective coordinates of the solitons in the classical theory can be interpreted as a q-deformed fuzzy space in the quantum theory. We analyse the n=1 case separately and provide a further test of the S-matrix conjecture in this case by calculating the central charge of the UV CFT using the thermodynamic Bethe Ansatz." @default.
- W2008280180 created "2016-06-24" @default.
- W2008280180 creator A5067684779 @default.
- W2008280180 creator A5082586291 @default.
- W2008280180 date "2010-10-01" @default.
- W2008280180 modified "2023-10-15" @default.
- W2008280180 title "The relativistic avatars of giant magnons and their S-matrix" @default.
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- W2008280180 doi "https://doi.org/10.1007/jhep10(2010)012" @default.
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