Dilatation operator and the Super Yang-Mills duals of open strings on AdS Giant Gravitons

Abstract

We study the one-loop anomalous dimensions of the Super Yang-Mills dual operators to open strings ending on AdS giant gravitons. AdS giant gravitons have no upper bound for their angular momentum and we represent them by the contraction of scalar fields, carrying the appropriate R-charge, with a totally symmetric tensor. We represent the open string motion along AdS directions by appending to the giant graviton operator a product of fields including covariant derivatives. We derive a bosonic lattice Hamiltonian that describes the mixing of these excited AdS giants operators under the action of the one-loop dilatation operator of N=4 SYM. This Hamiltonian captures several intuitive differences with respect to the case of sphere giant gravitons. A semiclassical analysis of the Hamiltonian allows us to give a geometrical interpretation for the labeling used to describe the fields products appended to the AdS giant operators. It also allows us to show evidence for the existence of continuous bands in the Hamiltonian spectrum.

28 pages

References in corpus (5)

• Giant Magnons
• A study of open strings ending on giant gravitons, spin chains and integrability
• Semiclassical strings and AdS/CFT
• Open Spin Chains in Super Yang-Mills at Higher Loops: Some Potential Problems with Integrability
• Higher Loop Bethe Ansatz for Open Spin-Chains in AdS/CFT

Cited by in corpus (10)

• Three-dimensional N=6 SCFT's and their membrane dynamics
• Giant Gravitons - with Strings Attached (III)
• Giant Gravitons - with Strings Attached (II)
• Surprisingly Simple Spectra
• Giants On Deformed Backgrounds
• Geometry and topology of bubble solutions from gauge theory
• Reconstructing 1/2 BPS Space-Time Metrics from Matrix Models and Spin Chains
• Correlators Of Operators with a Large R-charge
• Open giant magnons on LLM geometries
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge