Giant gravitons: a collective coordinate approach

Abstract

In this paper I describe a collective coordinate approach to the study of giant graviton states and their excitations in various field theories. The method simplifies considerably the understanding of emergent gauge symmetry of these configurations, as well as the calculation of the spectrum of strings stretched between the giant gravitons. There is a limit where these results reproduce the one loop dispersion relation for giant magnons. I also show that this method gives rise to a simple geometric interpretation of a Higgs mechanism for the emergent gauge symmetry which parallels the holographic dual realization of these sates: the effective Higgs condensate is the geometric separation of D-branes in the collective coordinate geometry.

29 pages + appendix. v2: small changes, added references. v3: Added reference, fixed typos, added some clarifying remarks and made introduction more concise

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• Giant Magnons
• Magnon Bound States and the AdS/CFT Correspondence
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• Three-dimensional N=6 SCFT's and their membrane dynamics
• Nonplanar Integrability
• Giant Gravitons - with Strings Attached (III)
• Giant Gravitons - with Strings Attached (II)
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Cited by in corpus (29)

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• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Submatrix deconfinement and small black holes in AdS
• Operators, Correlators and Free Fermions for SO(N) and Sp(N)
• Giant gravitons and the emergence of geometric limits in $\beta$-deformations of $\mathcal{N}=4$ SYM
• Sketches of emergent geometry in the gauge/gravity duality
• LLM Magnons
• BPS coherent states and localization
• Code subspaces for LLM geometries
• Spinning squashed extra dimensions and chiral gauge theory from $\mathcal{N}=4$ SYM
• Coherent state operators, giant gravitons, and gauge-gravity correspondence
• On the central charge extension of the N=4 SYM spin chain
• Coherent state excitations and string-added coherent states in gauge-gravity correspondence
• Extremal chiral ring states in AdS/CFT are described by free fermions for a generalized oscillator algebra
• Central Charges for the Double Coset
• Open giant magnons on LLM geometries
• Scrambling in Yang-Mills
• Finite N Quiver Gauge Theory
• Generating Functions for Giant Graviton Bound States
• Meromorphic Functions and the Topology of Giant Gravitons
• Non-planar operator mixing by Brauer representations
• Interacting Double Coset Magnons
• Oscillating Multiple Giants
• Holomorphic primary fields in free CFT4 and Calabi-Yau orbifolds
• Rotating Restricted Schur Polynomials
• Operator product expansions and recoil
• Open giant magnons suspended between dual giant gravitons in $\mathcal{N}=4$ SYM
• $\mathcal{N}=4$ SYM, (super)-polynomial rings and emergent quantum mechanical symmetries