Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4

Abstract

We establish features of so-called Yangian secret symmetries for AdS3 type IIB superstring backgrounds thus verifying the persistence of such symmetries to this new instance of the AdS/CFT correspondence. Specifically, we find two a priori different classes of secret symmetry generators. One class of generators, anticipated from the previous literature, is more naturally embedded in the algebra governing the integrable scattering problem. The other class of generators is more elusive, and somewhat closer in its form to its higher-dimensional AdS5 counterpart. All of these symmetries respect left-right crossing. In addition, by considering the interplay between left and right representations, we gain a new perspective on the AdS5 case. We also study the RTT-realisation of the Yangian in AdS3 backgrounds thus establishing a new incarnation of the Beisert-de Leeuw construction.

v2: 21 pages, clarifications added, typos fixed, published version

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Cited by in corpus (15)

• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• Towards integrability for AdS3/CFT2
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Integrable S-matrices, massive and massless modes and the AdS_2 x S^2 superstring
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• Free Fermions, vertex Hamiltonians, and lower-dimensional AdS/CFT
• Massless sector of AdS_3 superstrings: a geometric interpretation
• Integrable deformations of AdS/CFT
• On $Ad{S}_2/CF{T}_1$ transfer matrices, Bethe ansatz and scale invariance
• A study of integrable form factors in massless relativistic AdS_3
• Neumann-Rosochatius system for (m,n) string in $Ad{S}_3\times S^3$ with mixed flux
• $N$-spike string in $Ad{S}_3\times S^1$ with mixed flux
• Norms and scalar products for AdS_3
• Neumann-Rosochatius system for rotating strings in $Ad{S}_3\times S^3\times S^3\times S^1$ with flux
• On finite-size spiky strings in $Ad{S}_3\times S^3\times T^4$ with mixed fluxes