Kavli Affiliate: Savdeep Sethi
| First 5 Authors: Andrea Dei, Andrea Dei, , ,
| Summary:
Computing the Euclidean spacetime action on-shell provides a useful way of
both testing holographic proposals and determining the string theory sphere
partition function. We consider families of three-dimensional linear dilaton
spacetimes for which there are holographic proposals that share features of a
$ToverlineT$-deformed CFT. We extend the holographic renormalization program
beyond AdS to this class of geometries by identifying the boundary terms needed
for a well-defined variational principle and a finite on-shell action. We show
that the spacetime energy or mass determined from the on-shell action matches
the $ToverlineT$-deformed two-dimensional CFT energy. This provides more
evidence for the role of the $ToverlineT$ deformation in this holographic
correspondence.
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