Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-06-26
Nucl.Phys. B544 (1999) 576-589
Physics
High Energy Physics
High Energy Physics - Theory
latex, 12 pages, the last section is refined
Scientific paper
10.1016/S0550-3213(98)00816-5
The standard formulation of the AdS/CFT correspondence is incomplete since it requires adding to a supergravity action some a priori unknown boundary terms. We suggest a modification of the correspondence principle based on the Hamiltonian formulation of the supergravity action, which does not require any boundary terms. Then all the boundary terms of the standard formulation naturally appear by passing from the Hamiltonian version to the Lagrangian one. As examples the graviton part of the supergravity action on the product of $AdS_{d+1}$ with a compact Einstein manifold $\cal E$ and fermions on $AdS_{d+1}$ are considered. We also discuss conformal transformations of gravity fields on the boundary of $AdS$ and show that they are induced by the isometries of $AdS$.
Arutyunov G. E.
Frolov S. A.
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