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On the fourpoint function of the stressenergy tensors in a CFT
"... We discuss to what extent the full set of Ward Identities constrain the fourpoint function of the stressenergy tensors or conserved currents in a conformal field theory. We calculate the number of kinematically unrestricted functional degrees of freedom governing the corresponding correlators and ..."
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We discuss to what extent the full set of Ward Identities constrain the fourpoint function of the stressenergy tensors or conserved currents in a conformal field theory. We calculate the number of kinematically unrestricted functional degrees of freedom governing the corresponding correlators and find that it matches the number of functional degrees of freedom governing scattering amplitudes of some “dual ” massless particles in the auxiliary Minkowski space. We also formulate the conformal bootstrap constraints for the correlators in question in terms of only unrestricted degrees of freedom. As a byproduct we find interesting parallels between solving Ward Identities in coordinate and momentum space. ar
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"... We examine the late time behavior of the BunchDavies wavefunction for interacting light fields in a de Sitter background. We use perturbative techniques developed in the framework of AdS/CFT, and analytically continue to compute tree and loop level contributions to the BunchDavies wavefunction. We ..."
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We examine the late time behavior of the BunchDavies wavefunction for interacting light fields in a de Sitter background. We use perturbative techniques developed in the framework of AdS/CFT, and analytically continue to compute tree and loop level contributions to the BunchDavies wavefunction. We consider selfinteracting scalars of general mass, but focus especially on the massless and conformally coupled cases. We show that certain contributions grow logarithmically in conformal time both at tree and loop level. We also consider gauge fields and gravitons. The fourdimensional FeffermanGraham expansion of classical asymptotically de Sitter solutions is used to show that the wavefunction contains no logarithmic growth in the pure graviton sector at tree level. Finally, assuming a holographic relation between the wavefunction and the partition function of a conformal field theory, we interpret the logarithmic growths in the language of conformal field theory. ar X iv
LateTime Structure of . . . Sitter Wavefunction
, 2014
"... We examine the late time behavior of the BunchDavies wavefunction for interacting light fields in a de Sitter background. We use perturbative techniques developed in the framework of AdS/CFT, and analytically continue to compute tree and loop level contributions to the BunchDavies wavefunction. We ..."
Abstract
 Add to MetaCart
We examine the late time behavior of the BunchDavies wavefunction for interacting light fields in a de Sitter background. We use perturbative techniques developed in the framework of AdS/CFT, and analytically continue to compute tree and loop level contributions to the BunchDavies wavefunction. We consider selfinteracting scalars of general mass, but focus especially on the massless and conformally coupled cases. We show that certain contributions grow logarithmically in conformal time both at tree and loop level. We also consider gauge fields and gravitons. The fourdimensional FeffermanGraham expansion of classical asymptotically de Sitter solutions is used to show that the wavefunction contains no logarithmic growth in the pure graviton sector at tree level. Finally, assuming a holographic relation between the wavefunction and the partition function of a conformal field theory, we interpret the logarithmic growths in the language of conformal field theory.