Hamiltonian dynamics and the hidden symmetries of the AdS5 × S5 superstring

被引：0
作者：
Benoît Vicedo
机构：
[1] Ecole Normale Supérieure,
[2] LPT,undefined
[3] Institut de Physique Théorique,undefined
[4] C.E.A.-Saclay,undefined
来源：
Journal of High Energy Physics | / 2010卷
关键词：
Gauge Symmetry; Integrable Field Theories; Sigma Models; AdS-CFT Correspondence;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct the Lax connection of the Green-Schwarz superstring in AdS5 × S5 within the Hamiltonian formalism and obtain precisely that used in 0810.4136. It differs in a crucial way from the Bena-Polchinski-Roiban connection by terms proportional to the Hamiltonian constraints. These extra terms ensure firstly that the integrals of motion are all first class and secondly that the Lax connection is flat in the strong sense.
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共 41 条
[1]  
Bena I(2004)Hidden symmetries of the Phys. Rev. D 69 046002-undefined
[2]  
Polchinski J(2004) × JHEP 05 024-undefined
[3]  
Roiban R(2006) superstring Commun. Math. Phys. 263 659-undefined
[4]  
Kazakov VA(2006)Classical/quantum integrability in AdS/CFT Commun. Math. Phys. 263 611-undefined
[5]  
Marshakov A(2006)The algebraic curve of classical superstrings on JHEP 07 014-undefined
[6]  
Minahan JA(1994) × Func. An. & Apps. 28 26-undefined
[7]  
Zarembo K(2008)Algebraic curve for the SO(6) sector of AdS/CFT Nucl. Phys. B 802 1-undefined
[8]  
Beisert N(2009)On the dynamics of finite-gap solutions in classical string theory JHEP 01 021-undefined
[9]  
Kazakov VA(1985)Two-dimensional algebraic-geometrical operators with self-consistent potentials Phys. Lett. B 162 137-undefined
[10]  
Sakai K(1986)Algebra of transfer-matrices and Yang-Baxter equations on the string worldsheet in Nucl. Phys. B 269 54-undefined
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