Counting Giant Gravitons in AdS_3

dc.creatorRaju, Suvrat
dc.date2007-09-10
dc.date2007-10-05
dc.date.accessioned2026-07-07T11:19:13Z
dc.date.available2026-07-07T11:19:13Z
dc.descriptionWe quantize the set of all quarter BPS brane probe solutions in global AdS_3 \times S^3 \times T^4/K3 found in arxiv:0709.1168 [hep-th]. We show that, generically, these solutions give rise to states in discrete representations of the SL(2,R) WZW model on AdS_3. Our procedure provides us with a detailed description of the low energy 1/4 and 1/2 BPS sectors of string theory on this background. The 1/4 BPS partition function jumps as we move off the point in moduli space where the bulk theta angle and NS-NS fields vanish. We show that generic 1/2 BPS states are protected because they correspond to geodesics rather than puffed up branes. By exactly quantizing the simplest of the probes above, we verify our description of 1/4 BPS states and find agreement with the known spectrum of 1/2 BPS states of the boundary theory. We also consider the contribution of these probes to the elliptic genus and discuss puzzles, and their possible resolutions, in reproducing the elliptic genus of the symmetric product.
dc.description47 pages; (v2) references and minor clarifications added
dc.identifierhttps://arxiv.org/abs/0709.1171
dc.identifierhttp://arxiv.org/abs/0709.1171
dc.identifierPhys.Rev.D77:046012,2008
dc.identifierdoi:10.1103/PhysRevD.77.046012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/193609
dc.subjectHigh Energy Physics - Theory
dc.titleCounting Giant Gravitons in AdS_3
dc.typetext

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