Remark on the variational principle in the AdS/CFT correspondence for the scalar field
Henrique Boschi-Filho, Nelson R. F. Braga
TL;DR
This paper examines how the variational principle can guide the selection of scalar field actions in the AdS/CFT correspondence, ensuring the correct physical setup.
Contribution
It introduces a criterion based on the variational principle to select the appropriate scalar field action in AdS/CFT, clarifying the theoretical framework.
Findings
Proposes a variational principle criterion for action selection
Clarifies the role of boundary conditions in AdS/CFT
Provides insights into scalar field dynamics in holography
Abstract
We discuss how the variational principle can be used as a criterion for choosing, among scalar field actions implying the same equation of motion, the appropriate one for the AdS/CFT correspondence.
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