Foundations of the AdS5 × S5 superstring: I

By G. Arutyunov, S. Frolov. 2009

433 citations recorded by the source corpus.

We review the recent advances towards finding the spectrum of the AdS5 × S5 superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem. In certain cases our exposition is original and cannot be found in the existing literature. The present part I deals with foundations of classical string theory in AdS5 × S5, light-cone perturbative quantization and the derivation of the exact light-cone world-sheet scattering matrix.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/502863b8432bd51f0c8bd9859fbf61a1289de18e

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Citations in the corpus

Lunin-Maldacena backgrounds from the classical Yang-Baxter equation — towards the gravity/CYBE correspondence (2014, methodology): “We basically follow the one used in [71].”
Abelian Yang–Baxter deformations and TsT transformations (2016, background): “which describes the Green-Schwarz type IIB superstring in AdS5 × S5 [45], see [2] for an extensive review.”
A dynamic $ su{(1|1)^2} $ S-matrix for AdS3/CFT2 (2012, background): “A significant success in the investigation of the correspondence was obtained in the case of type IIB strings on AdS5 × S(5) and N = 4 Super-Yang-Mills (SYM) in the ’t Hooft limit, where it was found that integrability techniques could be applied to the computation of the string energy spectrum, or ”
S-matrix for strings on η-deformed AdS5 × S5 (2013, methodology): “The computation of the tree level bosonic S-matrix follows the route reviewed in [24], and we also use the same notations.”
Hexagonalization of correlation functions (2016, background): “4) Here a-d are the ones in the string frame [47] and |A| = 0 for bosonic indices (a’s and b’s) while |A| = 1 for fermionic indices (α’s and β’s).”
An integrable deformation of the AdS5 × S5 superstring (2014, background): “The way to cancel this term is familiar from the discussion of kappa-symmetry in [38] (see also [2]) so we shall not include all the details.”
Integrable deformations of strings on symmetric spaces (2014, background): “One of the most fascinating underlying features of the original AdS/CFT correspondence is its integrability (see the reviews [1, 2]).”