On string theory on AdS3×S3×T4 with mixed 3-form flux: Tree-level S-matrix
By B. Hoare, A. Tseytlin. 2013
147 citations recorded by the source corpus.
We consider superstring theory on AdS3 ×S 3 ×T 4 supported by a combination of RR and NSNS 3-form fluxes (with parameter of the NSNS 3-form q). This theory interpolates between the pure RR flux model (q = 0) whose spectrum is expected to be described by a (thermodynamic) Bethe ansatz and the pure NSNS flux model (q = 1) which is described by the supersymmetric extension of the SL(2,R) × SU(2) WZW model. As a first step towards the solution of this integrable theory for generic value of q we compute the corresponding tree-level S-matrix for massive BMN-type excitations. We find that this S-matrix has a surprisingly simple dependence on q: the diagonal amplitudes have exactly the same structure as in the q = 0 case but with the BMN dispersion relation e 2 = p 2 +1 replaced by the one with shifted momentum and mass, e 2 = (p±q) 2 +1−q 2 . The off-diagonal amplitudes are then determined from the classical Yang-Baxter equation. We also construct the Pohlmeyer reduced model corresponding to this superstring theory and find that it depends on q only through the rescaled mass parameter, � → p 1 − q 2 �, implying that its relativistic S-matrix is q-independent.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/44d66d52fbeaf00a1cf3e81814840e4cbebfaf80
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Citations in the corpus
- The all-loop integrable spin-chain for strings on AdS3 × S3 × T4: the massive sector (2013, methodology): “Recently several perturbative computations for the AdS3×S(3)×T 4 superstring have been performed [22, 37, 20, 38, 21, 19].”
- The complete worldsheet S matrix of superstrings on AdS3×S3×T4 with mixed three-form flux (2014, background): “This led to rapid progress in understanding the role integrability plays in the massive sector of the theory [40–44].”