2001/03/20 by Marika Taylor-Robinson, Taylor-Robinson, Marika · 4 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0103162
38 pages, ReVTeX
arxiv created 2001/03/20 · openalex publication_date 2001/03/20 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The singularity structure of many IIB supergravity solutions asymptotic to AdS5 × S5 becomes clearer when one considers the full ten dimensional solution rather than the dimensionally reduced solution of gauged supergravity. It has been shown that all divergences in the gravitational action of the dimensionally reduced spacetime can be removed by the addition of local counterterms on the boundary. Here we attempt to formulate the counterterm action directly in ten dimensions for a particular class of solutions, the \cal N = 0 Polchinski-Strassler solutions, which are dual to an \cal N =4 SYM theory perturbed by mass terms for all scalars and spinors. This involves constructing the solution perturbatively near the boundary. There is a contribution to the Weyl anomaly from the mass terms (which break the classical conformal invariance of the action). The coefficient of this anomaly is reproduced by a free field calculation indicating a non-renormalisation theorem inherited from the \cal N =4 theory. We comment on the structure of the full solutions and their construction from uplifting particular \cal N = 0 flows in five dimensions.