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27
Bulk Dynamics in Confining Gauge Theories
, 2007
"... We consider gauge/string duality (in the supergravity approximation) for confining gauge theories. The system under scrutiny is a 5dimensional consistent truncation of type IIB supergravity obtained using the PapadopoulosTseytlin ansatz with boundary momentum added. We develop a gaugeinvariant an ..."
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We consider gauge/string duality (in the supergravity approximation) for confining gauge theories. The system under scrutiny is a 5dimensional consistent truncation of type IIB supergravity obtained using the PapadopoulosTseytlin ansatz with boundary momentum added. We develop a gaugeinvariant and sigmamodelcovariant approach to the dynamics of 5dimensional bulk fluctuations. For the MaldacenaNunez subsystem, we study glueball mass spectra. For the KlebanovStrassler subsystem, we compute the linearized equations of motion for the 7scalar system, and show that a 3scalar sector containing the scalar dual to the gluino bilinear decouples in the UV. We solve the fluctuation equations exactly in the ”moderate UV ” approximation and check this approximation numerically. Our results demonstrate the feasibility of analyzing the generally coupled equations for scalar bulk fluctuations, and constitute a step on the way towards computing correlators Gauge/string duality offers an alternative approach to aspects of supersymmetric non
Holographic entanglement entropy in Lovelock gravities,”
 Journal of High Energy Physics,
, 2011
"... Abstract: We study entanglement entropies of simply connected surfaces in field theories dual to Lovelock gravities. We consider GaussBonnet and cubic Lovelock gravities in detail. In the conformal case the logarithmic terms in the entanglement entropy are governed by the conformal anomalies of th ..."
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Abstract: We study entanglement entropies of simply connected surfaces in field theories dual to Lovelock gravities. We consider GaussBonnet and cubic Lovelock gravities in detail. In the conformal case the logarithmic terms in the entanglement entropy are governed by the conformal anomalies of the CFT; we verify that the holographic calculations are consistent with this property. We also compute the holographic entanglement entropy of a slab in the GaussBonnet examples dual to relativistic and nonrelativistic CFTs and discuss its properties. Finally, we discuss features of the entanglement entropy in the backgrounds dual to renormalization group flows between fixed points and comment on the implications for a possible ctheorem in four spacetime dimensions.
Vacua of Maximal Gauged D = 3 Supergravities
, 2002
"... We analyze the scalar potentials of maximal gauged threedimensional supergravities which reveal a surprisingly rich structure. In contrast to maximal supergravities in dimensions D ≥ 4, all these theories admit a maximally supersymmetric (N = 16) ground state with negative cosmological constant Λ & ..."
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We analyze the scalar potentials of maximal gauged threedimensional supergravities which reveal a surprisingly rich structure. In contrast to maximal supergravities in dimensions D ≥ 4, all these theories admit a maximally supersymmetric (N = 16) ground state with negative cosmological constant Λ < 0, except for the gauge group SO(4,4) 2, for which Λ = 0. We compute the mass spectra of bosonic and fermionic fluctuations around these vacua and identify the unitary irreducible representations of the relevant background (super)isometry groups to which they belong. In addition, we find several stationary points which are not maximally supersymmetric, and determine their complete mass spectra as well. In particular, we show that there are analogs of all stationary points found in higher dimensions, among them de Sitter vacua in the theories with noncompact gauge groups SO(5,3) 2 and SO(4,4) 2, as well as antide Sitter vacua in the compact gauged theory preserving 1/4 and 1/8 of the supersymmetries. All the dS vacua have tachyonic instabilities,
On The Supersymmetric Solutions of D = 3 Halfmaximal Supergravities
, 2010
"... We initiate a systematic study of the solutions of threedimensional mattercoupled halfmaximal (N = 8) supergravities which admit a Killing spinor. To this end we analyze in detail the invariant tensors built from spinor bilinears, a technique originally developed and applied in higher dimensions. ..."
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We initiate a systematic study of the solutions of threedimensional mattercoupled halfmaximal (N = 8) supergravities which admit a Killing spinor. To this end we analyze in detail the invariant tensors built from spinor bilinears, a technique originally developed and applied in higher dimensions. This reveals an intriguing interplay with the scalar target space geometry SO(8, n)/(SO(8) × SO(n)). Another interesting feature of the threedimensional case is the implementation of the duality between vector and scalar fields in this framework. For the ungauged theory with timelike Killing vector, we explicitly determine the scalar current and show that its integrability relation reduces to a covariant holomorphicity equation, for which we present a number of explicit solutions. For the case of a null Killing vector, we give the most general solution which is of ppwave type. Contents 1
KIASP10040 3D gauged supergravity from wrapped M5branes with AdS/CMT applications.
, 2010
"... By identifying a bosonic consistent truncation from the 1 4BPS wrapped M5brane geometry of Maldacena, Strominger and Witten in D = 11 supergravity and finding a supersymmetric extension, we recover an N = 2 D = 3 supergravity theory. Reductions of a large class of supersymmetric solutions correspon ..."
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By identifying a bosonic consistent truncation from the 1 4BPS wrapped M5brane geometry of Maldacena, Strominger and Witten in D = 11 supergravity and finding a supersymmetric extension, we recover an N = 2 D = 3 supergravity theory. Reductions of a large class of supersymmetric solutions corresponding to wrapped M2 and M5branes lead to black strings and warped AdS3 solutions preserving supersymmetry. With a view to AdS/CMT applications, we also construct a numerical hairy BTZ black hole and, as a preliminary step ensl00545864, version 1 13 Dec 2010 Continued interest in the AdS/CFT correspondence owes much to the potential computational control it gives in studying strongly coupled, nonperturbative field theories. Having witnessed attempts to model QCDlike theories holographically, much focus has shifted to
Topologically Massive Gravity and the AdS/CFT Correspondence
, 2009
"... We set up the AdS/CFT correspondence for topologically massive gravity in three dimensions. We discuss in detail the asymptotic structure of the field equations, determine the map between bulk fields and CFT operators, obtain the appropriate counterterms needed for holographic renormalization and co ..."
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We set up the AdS/CFT correspondence for topologically massive gravity in three dimensions. We discuss in detail the asymptotic structure of the field equations, determine the map between bulk fields and CFT operators, obtain the appropriate counterterms needed for holographic renormalization and compute holographically one and twopoint functions at and away from the “chiral point ” (µ = 1). The 2point functions at the chiral point are those of a logarithmic CFT (LCFT) with cL = 0, cR = 3l/GN and b = −3l/GN, where b is a parameter characterizing different c = 0 LCFTs. The bulk correlators away from the chiral point (µ ̸ = 1) smoothly limit to the LCFT ones as µ → 1. Away from the chiral point, the CFT contains a state of negative norm and the expectation value of the energy momentum tensor in that state is also negative, reflecting a corresponding bulk instability due to negative energy modes.
Holography of DBrane Reconnection
"... Gukov, Martinec, Moore and Strominger found that the D1D5D5 ′ system with the D5D5 ′ angle at 45 degrees admits a deformation ρ preserving supersymmetry. Under this deformation, the D5branes and D5’branes reconnect along a single special Lagrangian manifold. We construct the nearhorizon limit ..."
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Gukov, Martinec, Moore and Strominger found that the D1D5D5 ′ system with the D5D5 ′ angle at 45 degrees admits a deformation ρ preserving supersymmetry. Under this deformation, the D5branes and D5’branes reconnect along a single special Lagrangian manifold. We construct the nearhorizon limit of this brane setup (for which no supergravity solution is currently known), imposing the requisite symmetries perturbatively in the deformation ρ. Reducing to the threedimensional effective gauged supergravity, we compute the scalar potential and verify the presence of a deformation with the expected properties. We compute the conformal dimensions as functions of ρ. This spectrum naturally organizes into N = 3 supermultiplets, corresponding to the 3/16 preserved by the brane system. We give some remarks on the symmetric orbifold CFT for QD5 = Q D5 ′, outline the computation of ρdeformed correlators in this theory, and probe computations in our ρdeformed background.
NonFeffermanGraham asymptotics and holographic renormalization
 in New Massive Gravity
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J H E P04(2014)107
, 2013
"... Critical solutions of topologically gauged N = 8 CFTs in three dimensions ..."
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Critical solutions of topologically gauged N = 8 CFTs in three dimensions