Note on the Boundary Terms in AdS/CFT Correspondence for Rarita-Schwinger Field
Abstract
In this letter the boundary problem for massless and massive Rarita-Schwinger fields in the AdS/CFT correspondence is considered. The considerations are along the lines of a paper by Henneaux24 and are based on the requirement that the solutions have to be a stationary point for the action functional. It is shown that this requirement, along with a definite asymptotic behavior of the solutions, fixes the boundary term that must be added to the initial Rarita-Schwinger action. It is also shown that the boundary term reproduce the known two-point correlation functions of certain local operators in CFT living on the boundary.
- Publication:
-
Modern Physics Letters A
- Pub Date:
- 1999
- DOI:
- 10.1142/S0217732399001887
- arXiv:
- arXiv:hep-th/9904098
- Bibcode:
- 1999MPLA...14.1783R
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 12 pages, one more refernce added, some typos corrected