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On the existence of supergravity duals to d1–d5 cft states
 JHEP
"... We define a metric operator in the 1 2BPS sector of the D1D5 CFT, the eigenstates of which have a good semiclassical supergravity dual; the noneigenstates cannot be mapped to semiclassical gravity duals. We also analyse how the data defining a CFT state manifests itself in the gravity side, and ..."
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We define a metric operator in the 1 2BPS sector of the D1D5 CFT, the eigenstates of which have a good semiclassical supergravity dual; the noneigenstates cannot be mapped to semiclassical gravity duals. We also analyse how the data defining a CFT state manifests itself in the gravity side, and show that it is arranged into a set of multipoles. Interestingly, we find that quantum mechanical interference in the CFT can have observable manifestations in the semiclassical gravity dual. We also point out that the multipoles associated to the normal statistical ensemble fluctuate wildly, indicating that the mixed thermal state should not be associated to a semiclassical geometry.
arXiv:0904.nnnn [hepth] On HalfBPS States of the ABJM Theory
, 904
"... We analyze SU(2) invariant halfBPS states of the 3d, N = 8 or N = 6 SCFT within the radial quantization of the ABJM theory [1], the theory proposed to describe N M2branes in the R 3 × C 4 /Zk background. After studying the classical moduli space of these configurations, we explicitly construct a s ..."
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We analyze SU(2) invariant halfBPS states of the 3d, N = 8 or N = 6 SCFT within the radial quantization of the ABJM theory [1], the theory proposed to describe N M2branes in the R 3 × C 4 /Zk background. After studying the classical moduli space of these configurations, we explicitly construct a set of gauge invariant operators involving ’t Hooft monopole operators corresponding to these states. We show there is a one–to–one correspondence between the two sets carrying Rcharge J and that they are labeled by Young tableaux of J boxes with a maximum of N rows. Restricting the full path integral to this halfBPS sector of the theory, we show the latter is described in terms of N fermions in a 2d harmonic potential in the sector of vanishing angular momentum. The same classification, though in the N → ∞ limit, arise from the planewave (BMN) Matrix theory as well as the 11 dimensional LLM bubbling geometries [2], providing supportive evidence for the ABJM theory and/or the Matrix model. Contents 1
On HalfBPS States of the ABJM Theory
, 904
"... We analyze SU(2) invariant halfBPS states of the 3d, N = 8 or N = 6 SCFT within the radial quantization of the ABJM theory [1], the theory proposed to describe N M2branes in the R 3 × C 4 /Zk background. After studying the classical moduli space of these configurations, we explicitly construct a s ..."
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We analyze SU(2) invariant halfBPS states of the 3d, N = 8 or N = 6 SCFT within the radial quantization of the ABJM theory [1], the theory proposed to describe N M2branes in the R 3 × C 4 /Zk background. After studying the classical moduli space of these configurations, we explicitly construct a set of gauge invariant operators involving ’t Hooft monopole operators corresponding to these states. We show there is a one–to–one correspondence between the two sets carrying Rcharge J and that they are labeled by Young tableaux of J boxes with a maximum of N rows. Restricting the full path integral to this halfBPS sector of the theory, we show the latter is described in terms of N fermions in a 2d harmonic potential in the sector of vanishing angular momentum. The same classification, though in the N → ∞ limit, arise from the planewave (BMN) Matrix theory as well as the 11 dimensional LLM bubbling geometries [2], providing supportive evidence for the ABJM theory and/or the Matrix model. Contents 1
hepth/0705.4431 Quantum geometry and gravitational entropy
, 2009
"... Most quantum states have wavefunctions that are widely spread over the accessible Hilbert space and hence do not have a good description in terms of a single classical geometry. In order to understand when geometric descriptions are possible, we exploit the AdS/CFT correspondence in the halfBPS sec ..."
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Most quantum states have wavefunctions that are widely spread over the accessible Hilbert space and hence do not have a good description in terms of a single classical geometry. In order to understand when geometric descriptions are possible, we exploit the AdS/CFT correspondence in the halfBPS sector of asymptotically AdS5 × S 5 universes. In this sector we devise a “coarsegrained metric operator ” whose eigenstates are well described by a single spacetime topology and geometry. We show that such halfBPS universes have a nonvanishing entropy if and only if the metric is singular, and that the entropy arises from coarsegraining the geometry. Finally, we use our entropy formula to find the most entropic spacetimes with fixed asymptotic moments beyond the global charges.