Flat currents of the Green-Schwarz superstrings in AdS{sub 5}xS{sup 1} and AdS{sub 3}xS{sup 3} backgrounds

Journal Article · Fri Apr 15 00:00:00 EDT 2005 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.71.086007· OSTI ID:20709131

Bin, Chen ^[1]; Yali, He; Xingchang, Song ^[2]; Peng, Zhang ^[3]

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1. Interdisciplinary Center of Theoretical Studies, Chinese Academy of Science, P.O. Box 2735, Beijing 100080 (China)
2. School of Physics, Peking University, Beijing 100871 (China)
3. Institute of Theoretical Physics, Chinese Academy of Science, P.O. Box 2735, Beijing 100080 (China)

We construct a one-parameter family of flat currents in AdS{sub 5}xS{sup 1} and AdS{sub 3}xS{sup 3} Green-Schwarz superstrings, which would naturally lead to a hierarchy of classical conserved nonlocal charges. In the former case we rewrite the AdS{sub 5}xS{sup 1} string using a new Z{sub 4}-graded base of the superalgebra su(2,2 vertical bar 2). In both cases the existence of the Z{sub 4} grading in the superalgebras plays a key role in the construction. As a result, we find that the flat currents, when formally written in terms of the G{sub 0}-gauge invariant lowercase 1-forms, take the same form as the one in the AdS{sub 5}xS{sup 5} case.

• OSTI ID: 20709131
• Journal Information: Physical Review. D, Particles Fields, Vol. 71, Issue 8; Other Information: DOI: 10.1103/PhysRevD.71.086007; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
FIELD ALGEBRA
GAUGE INVARIANCE
QUANTUM FIELD THEORY
SUPERSTRING MODELS
SUPERSYMMETRY