Light-cone AdS/CFT-adapted approach to AdS fields/currents, shadows, and conformal fields

Abstract

Light-cone gauge formulation of fields in AdS space and conformal field theory in flat space adapted for the study of AdS/CFT correspondence is developed. Arbitrary spin mixed-symmetry fields in AdS space and arbitrary spin mixed-symmetry currents, shadows, and conformal fields in flat space are considered on an equal footing. For the massless and massive fields in AdS and the conformal fields in flat space, simple light-cone gauge actions leading to decoupled equations of motion are found. For the currents and shadows, simple expressions for all 2-point functions are also found. We demonstrate that representation of conformal algebra generators on space of currents, shadows, and conformal fields can be built in terms of spin operators entering the light-cone gauge formulation of AdS fields. This considerably simplifies the study of AdS/CFT correspondence. Light-cone gauge actions for totally symmetric arbitrary spin long conformal fields in flat space are presented. We apply our approach to the study of totally antisymmetric (one-column) and mixed-symmetry (two-column) fields in AdS space and currents, shadows, and conformal fields in flat space.

LaTeX-2e, 38+8 pages v2: Conclusion below eq.(7.54) and footnote 26 added. Typos in eqs.(2.47) and (6.25) corrected

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Cited by in corpus (6)

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• Light-cone continuous-spin field in AdS space
• Mixed-symmetry continuous-spin fields in flat and AdS spaces
• BRST-BV approach to conformal fields
• General light-cone gauge approach to conformal fields and applications to scalar and vector fields
• BRST-BV approach to massless fields adapted to AdS/CFT correspondence