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Exact MultiRestricted Schur Polynomial Correlators
, 2008
"... We derive a product rule satisfied by restricted Schur polynomials. We focus mostly on the case that the restricted Schur polynomial is built using two matrices, although our analysis easily extends to more than two matrices. This product rule allows us to compute exact multipoint correlation func ..."
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We derive a product rule satisfied by restricted Schur polynomials. We focus mostly on the case that the restricted Schur polynomial is built using two matrices, although our analysis easily extends to more than two matrices. This product rule allows us to compute exact multipoint correlation functions of restricted Schur polynomials, in the free field theory limit. As an example of the use of our formulas, we compute two point functions of certain single trace operators built using two matrices and three point functions of certain restricted Schur polynomials, exactly, in the free field theory limit. Our results suggest that gravitons become strongly coupled at sufficiently high energy, while the restricted Schur polynomials for totally antisymmetric representations remain weakly interacting at these energies. This is in perfect accord with the halfBPS (single matrix) results of hepth/0512312. Finally, by studying the interaction of two restricted Schur polynomials we suggest a physical interpretation for the labels of the restricted Schur polynomial: the composite operator χR,(rn,rm)(Z, X)
The Gravitational Description of Coarse Grained
, 2006
"... In this paper we construct a detailed map from pure and mixed halfBPS states of the D1D5 system to halfBPS solutions of type IIB supergravity. Using this map, we can see how gravity arises through coarse graining microstates, and we can explicitly confirm the microscopic description of conical de ..."
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In this paper we construct a detailed map from pure and mixed halfBPS states of the D1D5 system to halfBPS solutions of type IIB supergravity. Using this map, we can see how gravity arises through coarse graining microstates, and we can explicitly confirm the microscopic description of conical defect metrics, the M = 0 BTZ black hole and of small black rings. We find that the entropy associated to the natural geometric stretched horizon typically exceeds that of the mixed state from which the geometry was obtained. Contents
1 16BPS Black Holes and Giant Gravitons
, 2006
"... 16BPS objects of type IIB string theory in AdS5 × S5. First, we consider supersymmetric AdS5 black holes, which should be 1 16BPS and have a characteristic that not all physical charges are independent. We point out that the BekensteinHawking entropy of these black holes admits a remarkably simpl ..."
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16BPS objects of type IIB string theory in AdS5 × S5. First, we consider supersymmetric AdS5 black holes, which should be 1 16BPS and have a characteristic that not all physical charges are independent. We point out that the BekensteinHawking entropy of these black holes admits a remarkably simple expression in terms of (dependent) physical charges, which suggests its microscopic origin via certain Cardy or HardyRamanujan formula. We also note that there is an upper bound for the angular momenta given by the electric charges. Second, we construct a class of 1 16BPS giant graviton solutions in AdS5 × S 5 and explore their properties. The solutions are given by the intersections of AdS5 × S 5 and complex 3 dimensional holomorphic hyperspaces in C 1+5, the latter being the zero loci of three holomorphic functions which are homogeneous with suitable weights on coordinates. We investigate examples of giant gravitons, including their degenerations
unknown title
, 2006
"... Preprint typeset in JHEP style. HYPER VERSION hepth/0603154 ..."
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Dual giant gravitons in AdSm × Y n (SasakiEinstein)
, 2008
"... We consider BPS motion of dual giant gravitons on AdS5 × Y 5 where Y 5 represents a fivedimensional SasakiEinstein manifold. We find that the phase space for the BPS dual giant gravitons is symplectically isomorphic to the CalabiYau cone over Y 5, with the Kähler form identified with the symplect ..."
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We consider BPS motion of dual giant gravitons on AdS5 × Y 5 where Y 5 represents a fivedimensional SasakiEinstein manifold. We find that the phase space for the BPS dual giant gravitons is symplectically isomorphic to the CalabiYau cone over Y 5, with the Kähler form identified with the symplectic form. The quantization of the dual giants therefore coincides with the Kähler quantization of the cone which leads to an explicit correspondence between holomorphic wavefunctions of dual giants and gaugeinvariant operators of the boundary theory. We extend the discussion to dual giants in AdS4 ×Y 7 where Y 7 is a sevendimensional SasakiEinstein manifold; for special motions the phase space of the dual giants is symplectically isomorphic to the eightdimensional CalabiYau cone.