The holographic dual of AdS 3 × S 3 × S 3 × S 1

The Search for a Holographic Dual to AdS 3 × S 3 × S 3 × S 1 Sergei

Search for a holographic dual to AdS 3 × S 3 × S 3 × S 1

The problem of finding a holographic dual to string theory on AdS3 × S × S3 × S1 is examined in depth. This background supports a large N = 4 superconformal symmetry. While in some respects similar to the familiar small N = 4 systems on AdS3 × S3 ×K3 and AdS3 × S3 × T 4, there are important qualitative differences. Using an analogue of the elliptic genus for large N = 4 theories we rule out all...

AdS 3 × w ( S 3 × S 3 × S 1 ) Solutions of Type IIB String Theory

We analyse a recently constructed class of local solutions of type IIB supergravity that consist of a warped product of AdS3 with a sevendimensional internal space. In one duality frame the only other nonvanishing fields are the NS three-form and the dilaton. We analyse in detail how these local solutions can be extended to globally well-defined solutions of type IIB string theory, with the int...

The Membrane at the End of the ( De Sitter ) Universe

The original membrane at the end of the universe corresponds to a probe M 2-brane of signature (2, 1) occupying the S 2 × S 1 boundary of the (10, 1) spacetime AdS 4 × S 7 , and is described by an OSp(4/8) SCFT. However, it was subsequently generalized to other worldvolume signatures (s, t) and other spacetime signatures (S, T). An interesting special case is provided by the (3, 0) brane at the...

Counterterms and dual holographic anomalies in CS gravity

The holographic Weyl anomaly associated to Chern-Simons gravity in 2n + 1 dimensions is proportional to the Euler term in 2n dimensions, with no contributions from the Weyl tensor. We compute the holographic energy-momentum tensor associated to ChernSimons gravity directly from the action, in an arbitrary odd-dimensional spacetime. We show, in particular, that the counterterms rendering the act...