Non-conformal holography

          @misc{ pirsa_PIRSA:08110031,
            doi = {10.48660/08110031},
            url = {https://pirsa.org/08110031},
            author = {Skenderis, Kostas},
            keywords = {Quantum Fields and Strings},
            language = {en},
            title = {Non-conformal holography},
            publisher = {Perimeter Institute},
            year = {2008},
            month = {nov},
            note = {PIRSA:08110031 see, \url{https://pirsa.org}}
          }
          

Abstract

We discuss holography for geometries that are asymptotic to non-conformal brane backgrounds. The near-horizon limit of all non-conformal branes, including D-branes and the fundamental string but excluding five-branes, is conformal to $AdS_{p+2} imes S^{8-p}$ with a linear dilaton. They exhibit a generalized conformal structure, both on the QFT and on the gravitational side. We develop holographic renormalization for all these cases and discuss a number of applications. We compute the holographic 2-point functions of the stress energy tensor and gluon operator and show they satisfy the expected Ward identities and the constraints of generalized conformal structure. The holographic results are also manifestly compatible with the M-theory uplift, with the asymptotic solutions, counterterms, one and two point functions etc. of the IIA F1 and D4 appropriately descending from those of M2 and M5 branes, respectively.