%0 Journal Article %1 Hartman2007DoubleTrace %A Hartman, Thomas %A Rastelli, Leonardo %D 2007 %K 1-loop-determinant, ads-cft, null-states %T Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT %U http://arxiv.org/abs/hep-th/0602106 %X According to the AdS/CFT dictionary, perturbing the large N boundary theory by a relevant double-trace deformation of the form f O^2 corresponds in the bulk to imposing ``mixed'' boundary conditions for the field dual to O. In this note we address various aspects of this correspondence. The change c\_UV - c\_IR of the central charge between the UV ad IR fixed points is known from explicit calculations (<a href="/abs/hep-th/0210093">hep-th/0210093</a>, <a href="/abs/hep-th/0212138">hep-th/0212138</a>) to be exactly the same in the bulk and in the boundary theories. By comparing the appropriate bulk and boundary functional determinants, we give a simple ``kinematic'' explanation for this universal agreement. We also clarify the prescription for computing AdS/CFT correlators with Delta\_- boundary conditions.

@article{Hartman2007DoubleTrace, abstract = {According to the AdS/CFT dictionary, perturbing the large N boundary theory by a relevant double-trace deformation of the form f O^2 corresponds in the bulk to imposing ``mixed'' boundary conditions for the field dual to O. In this note we address various aspects of this correspondence. The change c\_{UV} - c\_{IR} of the central charge between the UV ad IR fixed points is known from explicit calculations (<a href="/abs/hep-th/0210093">hep-th/0210093</a>, <a href="/abs/hep-th/0212138">hep-th/0212138</a>) to be exactly the same in the bulk and in the boundary theories. By comparing the appropriate bulk and boundary functional determinants, we give a simple ``kinematic'' explanation for this universal agreement. We also clarify the prescription for computing AdS/CFT correlators with Delta\_- boundary conditions.}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Hartman, Thomas and Rastelli, Leonardo}, biburl = {https://www.bibsonomy.org/bibtex/2911b8bae96af9bb6b6897751883cb177/acastro}, citeulike-article-id = {9385525}, citeulike-linkout-0 = {http://arxiv.org/abs/hep-th/0602106}, citeulike-linkout-1 = {http://arxiv.org/pdf/hep-th/0602106}, day = 9, eprint = {hep-th/0602106}, interhash = {53e73e716c71614e9b1556cffbf8d2cc}, intrahash = {911b8bae96af9bb6b6897751883cb177}, keywords = {1-loop-determinant, ads-cft, null-states}, month = nov, posted-at = {2011-06-06 00:14:11}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT}}, url = {http://arxiv.org/abs/hep-th/0602106}, year = 2007 }