One-loop Conformal Anomalies From AdS/CFT in the Schrodinger Representation
Paul Mansfield, David Nolland (Durham)
TL;DR
This paper calculates one-loop conformal anomalies for scalar and fermionic fields in AdS spacetime, revealing quantized coefficients linked to supergravity compactifications, using a Schrödinger functional approach.
Contribution
It introduces a novel method interpreting boundary partition functions via Schrödinger wave-functionals to compute conformal anomalies in AdS/CFT.
Findings
Coefficients of anomalies are quantized and related to Kaluza-Klein spectra.
Method applies to scalar and fermionic fields in AdS at one-loop.
Results connect anomalies to supergravity compactification spectra.
Abstract
We compute the conformal anomalies of boundary CFTs for scalar and fermionic fields propagating in AdS spacetime at one-loop. The coefficients are quantized, with values related to the mass-spectra for Kaluza-Klein compactifications of Supergravity on AdS5xS5 and AdS7xS4. Our approach interprets the boundary partition function of fields propagating on AdS spacetime in terms of wave-functionals that satisfy the functional Schrodinger equation.
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