B-field in AdS(3)/CFT(2) Correspondence and Integrability

Abstract

We construct topological Wess-Zumino term for supercoset sigma-models on various AdS(3) backgrounds. For appropriately chosen set of parameters, the sigma-model remains integrable when the Wess-Zumino term is added to the action. Moreover, the conditions for integrability, kappa-symmetry and conformal invariance are equivalent to each other.

27 pages, 1 figure, v2: misprints corrected, reference added, v3: misprints in (4.1) and (4.2) corrected

References in corpus (4)

• The classical R-matrix of AdS/CFT and its Lie dialgebra structure
• Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
• Operator Product Expansion for Pure Spinor Superstring on AdS(5)*S(5)
• On the Non-renormalization of the AdS Radius

Cited by in corpus (26)

• On deformations of AdS_n x S^n supercosets
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Towards a two-parameter q-deformation of AdS_3 x S^3 x M^4 superstrings
• All-loop worldsheet S matrix for AdS_3 x S^3 x T^4
• Towards integrability for AdS3/CFT2
• The ${\mathrm{AdS}}_5\times {\mathrm{S}}^5$ mirror model as a string
• $Ad{S}_3\times S^3\times M^4$ string S-matrices from unitarity cuts
• Finite-gap equations for strings on AdS_3 x S^3 x T^4 with mixed 3-form flux
• Supergravity background of the lambda-deformed AdS_3 x S^3 supercoset
• Comment on Strings in AdS3 x S3 x S3 x S1 at One Loop
• On the Dressing Factors, Bethe Equations and Yangian Symmetry of Strings on AdS3 x S3 x T4
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Spinning strings in AdS_3 x S^3 with NS-NS flux
• Secret Symmetries of Type IIB Superstring Theory on AdS3 x S3 x M4
• Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable sigma-model
• One- and two-loop checks for the AdS(3) x S(3) x T(4) superstring with mixed flux
• Worldsheet two- and four-point functions at one loop in AdS(3) / CFT(2)
• Elliptic solutions in the Neumann-Rosochatius system with mixed flux
• String solutions in AdS_3 x S^3 x T^4 with NS-NS B-field
• The ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$ worldsheet S matrix
• String theory in AdS_3 x S^3 x T^4 with mixed flux: semiclassical and 1-loop phase in the S-matrix
• All symmetric AdS(n>2) solutions of type II supergravity
• On the massless modes of the AdS3/CFT2 integrable systems
• Integrability and the Conformal Field Theory of the Higgs branch
• String solutions in $Ad{S}_3\times S^3\times S^3\times S^1$ with $B$-field