Evidence for the classical integrability of the complete AdS4 x CP3 superstring

被引：45
作者：
Sorokin, Dmitri [1 ]
Wulff, Linus [1 ,2 ]
机构：
[1] Ist Nazl Fis Nucl, Sez Padova, I-35131 Padua, Italy
[2] Texas A&M Univ, George & Cynthia Woods Mitchell Inst Fundamental, College Stn, TX 77843 USA
来源：
JOURNAL OF HIGH ENERGY PHYSICS | 2010年 / 11期
基金：
美国国家科学基金会;
关键词：
Superstrings and Heterotic Strings; AdS-CFT Correspondence; Integrable Field Theories; SUPERPARTICLES; FORMALISM; CURRENTS; DUALITY; FIELD; D=11;
D O I：
10.1007/JHEP11(2010)143
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 construct a zero-curvature Lax connection in a sub-sector of the super-string theory on AdS(4) x CP3 which is not described by the OSp(6 vertical bar 4)/U(3) x SO(1, 3) supercoset sigma-model. In this sub-sector worldsheet fermions associated to eight broken supersymmetries of the type IIA background are physical fields. As such, the prescription for the construction of the Lax connection based on the Z(4)-automorphism of the isometry superalgebra OSp(6 vertical bar 4) does not do the job. So, to construct the Lax connection we have used an alternative method which nevertheless relies on the isometry of the target superspace and kappa-symmetry of the Green-Schwarz superstring.
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页数：26
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