Large branes in AdS and their field theory dual

By Akikazu Hashimoto, S. Hirano, N. Itzhaki. 2000

472 citations recorded by the source corpus.

Recently it was suggested that a graviton in AdS5 ? S5 with a large momentum along the sphere can blow up into a spherical D-brane in S5. In this paper we show that the same graviton can also blow up into a spherical D-brane in AdS5 with exactly the same quantum numbers (angular momentum and energy). These branes are BPS, preserving 16 of the 32 supersymmetries. We show that there is a BPS classical solution for SYM on S3 ? R with exactly the same quantum numbers. The solution has non-vanishing Higgs expectation values and hence is dual to the large brane in AdS.

Subfields: Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/2420681c94fd46d9d53191b16fe96beaed507b15

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Mathematical Physics

In Nuclear and High Energy Physics

Citations in the corpus

Branes in AdS and pp-wave spacetimes (2002, background): “It was shown in [42, 43] that this embedding is half supersymmetric.”
Holographic Hydrodynamics with a Chemical Potential (2009, background): “In certain cases, it is well understood that there are supersymmetric bound states of giant gravitons [59] carrying the same charges as these charged black holes with spherical”
Giant Gravitons - with Strings Attached (III) (2007, background): “extended in the sphere[10] or in the AdS space [11],[12],[13] of the AdS×S background.”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, background): “Part of the interest in describing these more complicated states is that in the case of N = 4 SYM it is known that these particle and hole states in the quantum Hall effect become two different types of giant gravitons in the dual gravitational theory, as described geometrically in [50, 51].”
Wilson Loops of Anti-symmetric Representation and D5-branes (2006, background): “In these equations L is the radius of AdS5 and S 5.”
Holographic Wilson loops (2006, background): “This brane describes the puffing up of k fundamental strings into a D-brane inside AdS5, so in analogy with a similar phenomena for point-like gravitons [23][24], such a brane can be called a dual giant Wilson loop.”
Black holes, black rings and their microstates (2007, background): “A few examples of such solutions are the Polchinski-Strassler flow [67] without brane polarization [140, 150], or the singular KK giant graviton [121, 122, 123, 124 , 141].”
Branes, anti-branes and Brauer algebras in gauge-gravity duality (2007, unknown): “1y.kimura@qmul.ac.uk 2s.ramgoolam@qmul.ac.uk”
The black hole singularity in AdS/CFT (2003, background): “8 In this entire discussion we have not considered the D-brane wrapped on a sphere in AdS5 discussed [56,57].”