Minimal AdS_3
| dc.creator | Rastelli, Leonardo | |
| dc.creator | Wijnholt, Martijn | |
| dc.date | 2005-07-05 | |
| dc.date | 2006-01-26 | |
| dc.date.accessioned | 2026-07-07T06:42:08Z | |
| dc.date.available | 2026-07-07T06:42:08Z | |
| dc.description | We show that Type IIB string theory on AdS_3 X S^3 X M_4 with p units of NS flux contains an integrable subsector, isomorphic to the minimal (p,1) bosonic string. To this end, we construct a topological string theory with target space Euclidean AdS_3 X S^3. We use a variant of Hamiltonian reduction to prove its equivalence to the minimal (p,1) string. The topological theory is then embedded in the physical ten-dimensional IIB string theory. Correlators of tachyons in the minimal string are mapped to correlators of spacetime chiral primaries in the IIB theory, in the presence of background 5-form RR flux. We also uncover a ground ring structure in AdS_3 X S^3 analogous to the well-known ground ring of the minimal string. This tractable model provides a literal incarnation of the idea that the holographic direction of AdS space is the Liouville field. We discuss a few generalizations, in particular we show that the N=4 topological string on an A_{p-1} ALE singularity also reduces to the (p,1) minimal string. | |
| dc.description | v2: 60 pages, 2 figures. New section on relation to topological strings on ALE. Added a clarification on the relation with N=2 minimal models coupled to topological gravity. Added references | |
| dc.identifier | https://arxiv.org/abs/hep-th/0507037 | |
| dc.identifier | http://arxiv.org/abs/hep-th/0507037 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/101930 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Minimal AdS_3 | |
| dc.type | text |