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38
From Large N Nonplanar Anomalous Dimensions to Open Spring Theory,” [arXiv:1111.1058 [hepth
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Geometries from Young Diagrams
, 2008
"... Type IIB string theory on spacetimes that are asymptotically AdS5×S5 can be defined using four dimensional N = 4 super YangMills theory. Six of the dimensions of the string theory are holographically reconstructed in the YangMills theory. In this article we study how these dimensions and local p ..."
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Cited by 16 (6 self)
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Type IIB string theory on spacetimes that are asymptotically AdS5×S5 can be defined using four dimensional N = 4 super YangMills theory. Six of the dimensions of the string theory are holographically reconstructed in the YangMills theory. In this article we study how these dimensions and local physics in these dimensions emerge. We reorganize the dynamics of the 1 BPS sector of the field theory by rewriting it in terms 2 of Schur polynomials. The Young diagram labeling of these polynomials can be viewed as a book keeping device which summarizes how the operator is constructed. We show that aspects of the geometry of the extra holographic dimensions are captured very naturally by the Young diagram. Gravitons which are localized at a specific position
Dilatation operator and the super YangMills duals of open strings on AdS giant gravitons
, 2006
"... We study the oneloop anomalous dimensions of the Super YangMills 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 Rcharge, with a t ..."
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Cited by 15 (1 self)
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We study the oneloop anomalous dimensions of the Super YangMills 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 Rcharge, 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 oneloop 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.
Integrability of GreenSchwarz sigma models with boundaries,” JHEP 1108
, 2011
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BPS condensates, matrix models and emergent string theory
 JHEP
, 2007
"... Abstract: A prescription is given for computing anomalous dimensions of single trace operators in SYM at strong coupling and large N using a reduced model of matrix quantum mechanics. The method involves treating some parts of the operators as “BPS condensates ” which, in certain limit, have a dual ..."
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Abstract: A prescription is given for computing anomalous dimensions of single trace operators in SYM at strong coupling and large N using a reduced model of matrix quantum mechanics. The method involves treating some parts of the operators as “BPS condensates ” which, in certain limit, have a dual description as null geodesics on the S 5. In the gauge theory, the condensate is similar to a representative of the chiral ring and it is described by a background of commuting matrices. Excitations around these condensates correspond to excitations around this background and take the form of “string bits ” which are dual to the “giant magnons ” of Hofman and Maldacena. In fact, the matrix model approach gives a quantum description of these string configurations and explains why the infinite momentum limit suppresses the quantum effects. This method allows, not only to derive part of the classical sigma model Hamiltonian of the dual string (in the infinite momentum limit), but also its quantum canonical structure. Therefore, it provides an alternative method
Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM
, 801
"... We study nearhorizon limits of nearextremal charged black hole solutions to fivedimensional U(1) 3 gauged supergravity carrying two charges, extending the recent work of Balasubramanian et.al. [1]. We show that there are two nearhorizon decoupling limits for the nearextremal black holes, one cor ..."
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Cited by 10 (3 self)
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We study nearhorizon limits of nearextremal charged black hole solutions to fivedimensional U(1) 3 gauged supergravity carrying two charges, extending the recent work of Balasubramanian et.al. [1]. We show that there are two nearhorizon decoupling limits for the nearextremal black holes, one corresponding to the nearBPS case and the other for the far from BPS case. Both of these limits are only defined on the 10d IIB uplift of the 5d black holes, resulting in a decoupled geometry with a sixdimensional part (conformal to) a rotating BTZ×S 3. We study various aspects of these decoupling limits both from the gravity side and the dual field theory side. For the latter we argue that there should be two different, but equivalent, dual gauge theory descriptions, one in terms of the 2d CFT’s dual to the rotating BTZ and the other as certain large Rcharge sectors of d = 4, N = 4 U(N) SYM theory. We discuss new BMNtype sectors of the N = 4 SYM in the N → ∞ limit in which the engineering dimensions scale as N 3/2 (for the nearBPS case) and as N 2 (for the far from BPS case).Contents 1 Introduction and Summary 2
Quantum states to brane geometries via fuzzy moduli spaces of giant gravitons,” arXiv:1201.5588 [hepth
"... EighthBPS local operators in N = 4 SYM are dual to quantum states arising from the quantization of a moduli space of giant gravitons in AdS5 × S5. Earlier results on the quantization of this moduli space give a Hilbert space of multiple harmonic oscillators in 3 dimensions. We use these results, al ..."
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EighthBPS local operators in N = 4 SYM are dual to quantum states arising from the quantization of a moduli space of giant gravitons in AdS5 × S5. Earlier results on the quantization of this moduli space give a Hilbert space of multiple harmonic oscillators in 3 dimensions. We use these results, along with techniques from fuzzy geometry, to develop a map between quantum states and brane geometries. In particular there is a map between the oscillator states and points in a discretization of the base space in the toric fibration of the moduli space. We obtain a geometrical decomposition of the space of BPS states with labels consisting of U(3) representations along with U(N) Young diagrams and associated group theoretic multiplicities. Factorization properties in the counting of BPS states lead to predictions for BPS worldvolume excitations of specific brane geometries. Some of our results suggest an intriguing complementarity between localisation in the moduli space of branes and localisation in spacetime.
Restricted Schur Polynomials for Fermions and integrability in the su(2—3) sector,” arXiv:1212.5935 [hepth
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