Babichenko, A., Stefanski, B. & Zarembo, K. (2010). Integrability and the AdS(3)/CFT2 correspondence. Journal of High Energy Physics, 2010(3), doi: 10.1007/JHEP03(2010)058

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Abstract
We investigate the AdS 3/CFT 2 correspondence for theories with 16 supercharges using the integrability approach. We construct GreenSchwarz actions for Type IIB strings on AdS 3 × S 3× M 4 where M 4 = T 4 or S 3 × S 1 using the coset approach. These actions are based on a Z4 automorphism of the supercoset 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 AdS 3/CFT 2 duals contain novel massless modes whose role remains to be explored.
Item Type:  Article 

Uncontrolled Keywords:  AdSCFT Correspondence, Integrable Equations in Physics, Bethe Ansatz, Sigma Models, ADS(5) X S5, SL(2,R) WZW MODEL, ALGEBRAIC CURVE, STRING THEORY, SIGMAMODEL, BRANE INTERSECTIONS, SUPERSTRING ACTION, BETHEANSATZ, PPWAVE, LIMIT 
Subjects:  Q Science > QC Physics 
Divisions:  School of Engineering & Mathematical Sciences > Department of Mathematical Science 
Related URLs:  
URI:  http://openaccess.city.ac.uk/id/eprint/1019 
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