Integrability and the AdS3/CFT2 correspondence

被引:175
|
作者
Babichenko, A. [1 ,2 ]
Stefanski, B., Jr. [3 ]
Zarembo, K. [4 ,5 ,6 ]
机构
[1] Weizmann Inst Sci, Dept Particle Phys & Astrophys, IL-76100 Rehovot, Israel
[2] Holon Inst Technol, Dept Appl Math, IL-58102 Holon, Israel
[3] City Univ London, Ctr Math Sci, London EC1V 0HB, England
[4] Ecole Normale Super, CNRS, Phys Theor Lab, F-75231 Paris, France
[5] Uppsala Univ, Dept Phys & Astron, SE-75120 Uppsala, Sweden
[6] ITEP, Moscow, Russia
来源
JOURNAL OF HIGH ENERGY PHYSICS | 2010年 / 03期
基金
英国工程与自然科学研究理事会; 瑞典研究理事会;
关键词
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; BETHE-ANSATZ; SIGMA-MODEL; LIMIT; SYMMETRY; CFT;
D O I
10.1007/JHEP03(2010)058
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We investigate the AdS(3)/CFT2 correspondence for theories with 16 supercharges using the integrability approach. We construct Green-Schwarz actions for Type IIB strings on AdS(3) x S-3 x M-4 where M-4 = T-4 or S-3 x S-1 using the coset approach. These actions are based on a Z(4) automorphism of the super-coset D(2, 1; alpha) x D(2, 1; alpha)/SO(1, 2) x SO(3) x 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 alpha = 0, 1/2, 1 we propose a set of quantum Bethe equations valid at all values of the coupling. The AdS(3)/CFT2 duals contain novel massless modes whose role remains to be explored.
引用
收藏
页数:45
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