Integrability and the AdS3/CFT2 correspondence

By A. Babichenko, B. Stefański, K. Zarembo. 2009

248 citations recorded by the source corpus.

We investigate the AdS3/CFT2 correspondence for theories with 16 supercharges using the integrability approach. We construct Green-Schwarz actions for Type IIB strings on AdS3 × S3× M4 where M4 = T4 or S3 × S1 using the coset approach. These actions are based on a $ {\mathbb{Z}_4} $ automorphism of the super-coset D(2, 1; α) × D(2, 1; α)/SO(1, 2) × SO(3)×SO(3). The equations of motion admit a representation in terms of a Lax connection, showing that the system is classically integrable. We present the finite gap equations for these actions. When α = 0, 1/2, 1 we propose a set of quantum Bethe equations valid at all values of the coupling. The AdS3/CFT2 duals contain novel massless modes whose role remains to be explored.

Subfields: Geometry and Topology, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c222fddc2d387d4bf3212aee85727ce06a0d49aa

Citations in the corpus

• Integrability, spin-chains and the AdS3/CFT2 correspondence (2011, unknown): “In particular, in section 5.1, we show how the weakly coupled BA equations for this background [1] can be obtained as the α → 1 limit of the AdS 3 × S 3 × S 3 × S 1 BA equations. spin-chain described In section 5.2 we construct a spin-chain whose energies are by the weakly coupled AdS 3 × S 3 × T 4…”
• B-field in AdS3/CF T2 correspondence and integrability (2012, unknown): “As noticed in [11], a direct sum of two superalgebras always admits a Z4 action, defined as a semi-graded permutation of the two factors:”