Abstract
The infra-red limit of a planar static D3-brane in AdS is a tensionless D3-brane at the anti-de Sitter horizon with dynamics governed by a strong-field limit of the Dirac–Born–Infeld action, analogous to that found from the Born–Infeld action by Bialynicki-Birula. As in that case, the field equations are those of an interacting 4D conformal invariant field theory with an electromagnetic duality invariance, but the D3-brane origin makes these properties manifest. We also find an -invariant action for these equations.
Highlights
There was, a problem with the idea that singletons are essentially dynamical degrees of freedom of a membrane
The spontaneously broken conformal invariance of the worldvolume field theory on a static planar membrane in AdS4 is restored if it coincides with the AdS boundary, as mentioned above, and if it coincides with the Killing horizon
In precise analogy with the M2-brane case, one may consider a static planar probe D3-brane in this D3-brane background solution of IIB supergravity. This was studied in [11], and the relation to singletons was further explored in [15], but here we investigate the nature of the worldvolume field theory on the probe D3-brane in the IR limit for which it coincides with AdS5 Killing horizon
Summary
The maximal 10D supergravity fields, are conveniently divided into those arising from the NS-NS sector of a type II superstring and those arising from the R-R sector The former comprise the spacetime metric g (in Einstein conformal frame), dilaton φ and Kalb-Ramond 2-form potential C, which couple to a Dp-brane through the DBI part of its action; the latter comprise a (p + 1)-form field and a series of lower-order form fields, which couple through a WZ term. That K−1BK −1 T = −K −1(BK−1) = − K−1B K −1 = −K−1BK −1 Using these (anti)symmetry properties we deduce that det(G + F) = G00 + EiKijEj − Ni[K −1]ijNj det(K + B) ,. Notice that a non-zero Kalb-Ramond 2-form potential leads to a modification of the momentum variable conjugate to X (unless it is pure gauge, in which case the modification is a total time derivative). We shall have to examine this issue again when we consider the horizon limit in AdS5 × S5 because it differs from the T → 0 limit
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