Ghosh, K (2020) Polyakov-Mellin bootstrap for AdS loops. In: Journal of High Energy Physics, 2020 (2).
|
PDF
JOU_HIG_ENE_PHY_2020_2_2020.pdf - Published Version Download (434kB) | Preview |
Abstract
We consider holographic CFTs and study their large N expansion. We use Polyakov-Mellin bootstrap to extract the CFT data of all operators, including scalars, till O(1/N4). We add a contact term in Mellin space, which corresponds to an effective �4 theory in AdS and leads to anomalous dimensions for scalars at O(1/N2). Using this we fix O(1/N4) anomalous dimensions for double trace operators finding perfect agreement with 1 (for �� = 2). Our approach generalizes this to any dimensions and any value of conformal dimensions of external scalar field. In the second part of the paper, we compute the loop amplitude in AdS which corresponds to non-planar correlators of in CFT. More precisely, using CFT data at O(1/N4) we fix the AdS bubble diagram and the triangle diagram for the general case.
| Item Type: | Journal Article |
|---|---|
| Publication: | Journal of High Energy Physics |
| Publisher: | Springer |
| Additional Information: | copyright for this article belongs to Springer |
| Keywords: | 1/N Expansion, AdS-CFT Correspondence, Conformal Field Theory, Scattering Amplitudes. |
| Department/Centre: | Division of Physical & Mathematical Sciences > Centre for High Energy Physics |
| Date Deposited: | 11 Sep 2020 05:50 |
| Last Modified: | 11 Sep 2020 05:50 |
| URI: | http://eprints.iisc.ac.in/id/eprint/64584 |
Actions (login required)
 |
View Item |
