Aspects of emergent geometry in the AdS/CFT context

Abstract

We study aspects of emergent geometry for the case of orbifold superconformal field theories in four dimensions, where the orbifolds are abelian within the AdS/CFT proposal. In particular, we show that the realization of emergent geometry starting from the N=4 SYM theory in terms of a gas of particles in the moduli space of vacua of a single D3 brane in flat space gets generalized to a gas of particles on the moduli space of the corresponding orbifold conformal field theory (a gas of D3 branes on the orbifold space). Our main purpose is to show that this can be analyzed using the same techniques as in the N=4 SYM case by using the method of images, including the measure effects associated to the volume of the gauge orbit of the configurations. This measure effect gives an effective repulsion between the particles that makes them condense into a non-trivial vacuum configuration, and it is exactly these configurations that lead to the geometry of X in the AdS x X dual field theory

24 pages

References in corpus (2)

• Giant Magnons
• On the perturbative chiral ring for marginally deformed N=4 SYM theories

Cited by in corpus (13)

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• Giant magnon bound states from strongly coupled N=4 SYM
• Strings on conifolds from strong coupling dynamics, part I
• Strings on conifolds from strong coupling dynamics: quantitative results
• A strong coupling expansion for N=4 SYM theory and other SCFT's
• The AdS_5 x S^5 superstrings in the generalized light-cone gauge
• Phases of Thermal N=2 Quiver Gauge Theories
• Aspects of ABJM orbifolds
• The shape of emergent quantum geometry from an N=4 SYM minisuperspace approximation
• Shaping up BPS States with Matrix Model Saddle Points