The Experts below are selected from a list of 321 Experts worldwide ranked by ideXlab platform

Athanassios S. Fokas - One of the best experts on this subject based on the ideXlab platform.

Matthew J. Colbrook - One of the best experts on this subject based on the ideXlab platform.

Victor O Rivelles - One of the best experts on this subject based on the ideXlab platform.

  • scalar field theory in the ads cft correspondence revisited
    Nuclear Physics, 2000
    Co-Authors: Pablo Minces, Victor O Rivelles
    Abstract:

    Abstract We consider the role of Boundary Conditions in the AdSd+1/CFTd correspondence for the scalar field theory. Also a careful analysis of some limiting cases is presented. We study three possible types of Boundary Conditions, Dirichlet, Neumann and Mixed. We compute the two-point functions of the conformal operators on the Boundary for each type of Boundary Condition. We show how particular choices of the mass require different treatments. In the Dirichlet case we find that there is no double zero in the two-point function of the operator with conformal dimension d/2. The Neumann case leads to new normalizations for the Boundary two-point functions. In the massless case we show that the conformal dimension of the Boundary conformal operator is precisely the unitarity bound for scalar operators. We find a one-parameter family of Boundary Conditions in the Mixed case. There are again new normalizations for the Boundary two-point functions. For a particular choice of the Mixed Boundary Condition and with the mass squared in the range −d2/4 [(d−2)/2, d/2] . For mass squared m2>−d2/4+1 the same choice of Mixed Boundary Condition leads to a Boundary operator whose conformal dimension is the unitarity bound.

  • scalar field theory in the ads cft correspondence revisited
    arXiv: High Energy Physics - Theory, 1999
    Co-Authors: Pablo Minces, Victor O Rivelles
    Abstract:

    We consider the role of Boundary Conditions in the $AdS_{d+1}/CFT_{d}$ correspondence for the scalar field theory. Also a careful analysis of some limiting cases is presented. We study three possible types of Boundary Conditions, Dirichlet, Neumann and Mixed. We compute the two-point functions of the conformal operators on the Boundary for each type of Boundary Condition. We show how particular choices of the mass require different treatments. In the Dirichlet case we find that there is no double zero in the two-point function of the operator with conformal dimension $\frac{d}{2}$. The Neumann case leads to new normalizations for the Boundary two-point functions. In the massless case we show that the conformal dimension of the Boundary conformal operator is precisely the unitarity bound for scalar operators. We find a one-parameter family of Boundary Conditions in the Mixed case. There are again new normalizations for the Boundary two-point functions. For a particular choice of the Mixed Boundary Condition and with the mass squared in the range $-d^2/4 -d^2/4+1$ the same choice of Mixed Boundary Condition leads to a Boundary operator whose conformal dimension is the unitarity bound.

Juan Dávila - One of the best experts on this subject based on the ideXlab platform.

Lorna J. Ayton - One of the best experts on this subject based on the ideXlab platform.