The boundary multiplet of N=4 SU(2) circle times U(1) gauged supergravity on asymptotically-AdS(5)

作者：Ohl Thorsten^*; Uhlemann Christoph F

来源：The Journal of High Energy Physics, 2011, (6): 086.

DOI：10.1007/JHEP06(2011)086

• AdS-CFT Correspondence
• Supersymmetry and Duality
• Space-Time Symmetries
• Supergravity Models

We consider N = 4 SU(2) circle times U(1) gauged supergravity on asymptotically-AdS(5) backgrounds. By a near-boundary analysis we determine the boundary-dominant components of the bulk fields from their partially gauge-fixed field equations. Subdominant components are projected out in the boundary limit and we find a reduced set of boundary fields, constituting the N = 2 Weyl multiplet. The residual bulk symmetries are found to act on the boundary fields as four-dimensional diffeomorphisms, N = 2 supersymmetry and (super-) Weyl transformations. This shows that the on-shell N = 4 supergravity multiplet yields the N = 2 Weyl multiplet on the boundary with the appropriate local N = 2 superconformal transformations. Building on these results we use the AdS/CFT conjecture to calculate the Weyl anomaly of the dual four-dimensional superconformal field theories in a generic bosonic N = 2 conformal supergravity background.

• 出版日期2011-6