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Green-Schwarz Strings in TsT-transformed backgrounds

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arxiv hep-th/0512253 v2 pith:IZHZ3KIJ submitted 2005-12-20 hep-th

L. F. Alday , G. Arutyunov , S. Frolov This is my paper · ORCID
classification hep-th
keywords backgroundstringsgreen-schwarztst-transformedactionboundaryconditionsdiscuss
verification ladder T0 review T1 audit T2 compute T3 formal
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We consider classical strings propagating in a background generated by a sequence of TsT transformations. We describe a general procedure to derive the Green-Schwarz action for strings. We show that the U(1) isometry variables of the TsT-transformed background are related to the isometry variables of the initial background in a universal way independent of the details of the background. This allows us to prove that strings in the TsT-transformed background are described by the Green-Schwarz action for strings in the initial background subject to twisted boundary conditions. Our construction implies that a TsT transformation preserves integrability properties of the string sigma model. We discuss in detail type IIB strings propagating in the \g_i-deformed AdS_5 x S^5 space-time, find the twisted boundary conditions for bosons and fermions, and use them to write down an explicit expression for the monodromy matrix. We also discuss string zero modes whose dynamics is governed by a fermionicgeneralization of the integrable Neumann model.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Interpolating families of integrable AdS3 backgrounds

    hep-th 2025-02 accept novelty 7.0 of 10

    New TsT-based integrable deformations interpolate between AdS3×S3×S3×S1 and AdS3×S3×S2×T2 or AdS3×S2×S2×T3 while preserving half the supersymmetry.

  2. $\boldsymbol{T\overline{T}}$ correlators from tensionless strings

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Constructs deformed vertex operators in a topological string description of T T-bar deformed tensionless AdS3/CFT2 and computes their exact tree-level two-point functions.

  3. Thermodynamics of integrable N=2 theories, squared

    hep-th 2025-02 conditional novelty 6.0 of 10

    The FPS model's massive sector has UV central charge c=6(1-1/k), its massless sectors contribute c=N_0+2, so doubling the supersymmetry does not double the central charge.

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