Massless sector of AdS3 superstrings: a geometric interpretation
作者： Andrea Fontanella , Alessandro Torrielli
DOI: 10.1103/PHYSREVD.94.066008
关键词: Bethe ansatz 、 Connection (mathematics) 、 Invariant (mathematics) 、 Covariant transformation 、 Differential operator 、 Schrödinger's cat 、 Theoretical physics 、 Integrable system 、 Massless particle 、 Physics 、 Quantum mechanics
摘要: We study the recently discovered q-deformed Poincare supersymmetry of AdS3/CFT2 integrable massless scattering, and demonstrate how S-matrix is invariant under boosts. The boost generator has a non-local coproduct, which acts on scattering matrix as differential operator, annihilating it. propose to reinterpret action in terms covariant derivatives bundles, derive an expression for path-ordered exponential flat connection. provide list possible alternative interpretations this emergent geometric picture, including one-dimensional auxiliary Schrodinger problem. support our claims by performing simplified algebraic Bethe ansatz, bears some resemblance antiferromagnets.
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