City Research Online

Integrability and the AdS(3)/CFT2 correspondence

Babichenko, A., Stefanski, B. & Zarembo, K. (2010). Integrability and the AdS(3)/CFT2 correspondence. Journal of High Energy Physics, 2010(3), 43PP.-. doi: 10.1007/jhep03(2010)058

Abstract

We investigate the AdS 3/CFT 2 correspondence for theories with 16 supercharges using the integrability approach. We construct Green-Schwarz 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 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 AdS 3/CFT 2 duals contain novel massless modes whose role remains to be explored.

Publication Type: Article
Publisher Keywords: AdS-CFT Correspondence, Integrable Equations in Physics, Bethe Ansatz, Sigma Models, ADS(5) X S-5, SL(2,R) WZW MODEL, ALGEBRAIC CURVE, STRING THEORY, SIGMA-MODEL, BRANE INTERSECTIONS, SUPERSTRING ACTION, BETHE-ANSATZ, PP-WAVE, LIMIT
Subjects: Q Science > QC Physics
Departments: School of Science & Technology > Mathematics
Related URLs:
SWORD Depositor:
[thumbnail of 0912.1723v3.pdf]
Preview
PDF
Download (565kB) | Preview

Export

Add to AnyAdd to TwitterAdd to FacebookAdd to LinkedinAdd to PinterestAdd to Email

Downloads

Downloads per month over past year

View more statistics

Actions (login required)

Admin Login Admin Login