2018
DOI: 10.1007/jhep11(2018)111
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Lambda models from Chern-Simons theories

Abstract: In this paper we refine and extend the results of [1], where a connection between the AdS 5 × S 5 superstring lambda model on S 1 = ∂D and a double Chern-Simons (CS) theory on D based on the Lie superalgebra psu(2, 2|4) was suggested, after introduction of the spectral parameter z. The relation between both theories mimics the well-known CS/WZW symplectic reduction equivalence but is non-chiral in nature. All the statements are now valid in the strong sense, i.e. valid on the whole phase space, making the conn… Show more

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Cited by 12 publications
(32 citation statements)
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References 81 publications
(184 reference statements)
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“…As a consequence, the expressions (2.17) and (2.19) are valid in the strong sense. At this point, we can anticipate that no Hamiltonian extension of the Lax connection will be required in contrast to the lambda models on (semi)-symmetric spaces [23].…”
Section: Hamiltonian Structure and Integrabilitymentioning
confidence: 99%
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“…As a consequence, the expressions (2.17) and (2.19) are valid in the strong sense. At this point, we can anticipate that no Hamiltonian extension of the Lax connection will be required in contrast to the lambda models on (semi)-symmetric spaces [23].…”
Section: Hamiltonian Structure and Integrabilitymentioning
confidence: 99%
“…Because of the Lax connection is strongly flat, the relations (2.14) are valid off-shell and in terms of the variables Ψ(z ± ), the action (2.1) takes the form [23]…”
Section: Hamiltonian Structure and Integrabilitymentioning
confidence: 99%
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