Giant gravitons from holomorphic surfaces

By A. Mikhailov. 2000

226 citations recorded by the source corpus.

We introduce a class of supersymmetric cycles in spacetimes of the form AdS times a sphere or T 1;1 which can be considered as generalizations of the giant gravitons. Branes wrapped on these cycles preserve 1=2, 1= 4o r 1 = 8o f the supersymmetry. On the CFT side these congurations correspond to superpositions of the large number of BPS states.

Subfields: Applied Mathematics, Geometry and Topology, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/20a91891764972cad771af7d670d3a4974c256b0

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In Applied Mathematics

In Geometry and Topology

In Nuclear and High Energy Physics

Citations in the corpus

An Index for 4 Dimensional Super Conformal Theories (2005, background): “Let us recall the description in [39] for giant gravitons on the 5-sphere.”
Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals (2008, background): “[49]), only one class is known for 1/4 BPS Wilson loops [50], so it is not too surprising if we cannot classify all possible D-branes dual to the 1/6 BPS Wilson loops in the three-dimensional theory.”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “Such geometric description of giants has been given by Mikhailov [32].”
Exact Correlators of Giant Gravitons from dual N=4 SYM (2001, background): “Quarter-BPS operators, considered in detail recently [46,47] are also of interest in the context of giant gravitons [ 48 ].”
Baryon Spectra and AdS/CFT Correspondence (2002, background): “Since in this particular section we will be interested in computing explicitly the fluctuation spectra of D-branes, we need to resort to writing models for specific examples where the metric and the CFT are both known.”
De-singularization by rotation (2000, background): “In [16] it was shown that these states are realized as expanded branes, see also [17].”
Counting 1/8-BPS Dual-Giants (2006, background): “Similar to the description of giant gravitons in [11] one can describe a dual-giant graviton as a three surface obtained by intersection of Φ0 = φ (0) 0 and Z1 = ζ (0) 1 , Z2 = Z3 = 0 with C 1,2 × C3 and −|Φ0|(2) + |Φ1|(2) + |Φ2|(2) = −l2 and ∑3 i=1 |Zi|(2) = l2 evolving in time as Φ0 → Φ0 e t l and”
Giant Gravitons - with Strings Attached (III) (2007, background): “etime as an emergent phenomenon see[25]. For a tantalizing suggestion of how to construct the metric of the 1 2 BPS geometries directly in the N = 4 super Yang-Mills theory, see [26]. The recent work [27] suggests that many of the results that have been obtained for 1 2 -BPS giants may have an inter”
On gravitational description of Wilson lines (2006, background): “For example, giant gravitons that preserve 1/4 and 1/8 of the supersymmetries, are described in terms of the holomorphic surfaces [26].”
Supersymmetric states of N=4 Yang-Mills from giant gravitons (2006, unknown): “13 2.6 U(3) charges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14”
Diagonal multi-matrix correlators and BPS operators in N=4 SYM (2007, background): “It has been argued that the physics of the eighth-BPS giants [29] is given by the dynamics of N particles in a 3D simple harmonic oscillator [30][31][32].”
Black holes as effective geometries (2008, background): “Probe solutions (giant gravitons) preserving 1/8 of the supersymmetry were studied in [137,138,139,140,141] and the back-reaction of such probes was worked out in [142,143].”
Counting BPS operators in gauge theories: quivers, syzygies and plethystics (2006, methodology): “multi-trace at finite N. One way to reproduce the gN should be counting Giant Gravitons (GG’s) in AdS5 × X 5 . There are studies of GG’s in AdS5 × S 5 and AdS5 & #215; T 1,1 [71].”