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142
Large N field theories, string theory and gravity
, 2001
"... We review the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Antide Sitter spaces and conformal field theories. We review the background for this correspondence and discuss its motivations and the evide ..."
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Cited by 1443 (45 self)
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We review the holographic correspondence between field theories and string/M theory, focusing on the relation between compactifications of string/M theory on Antide Sitter spaces and conformal field theories. We review the background for this correspondence and discuss its motivations and the evidence for its correctness. We describe the main results that have been derived from the correspondence in the regime that the field theory is approximated by classical or semiclassical gravity. We focus on the case of the N = 4 supersymmetric gauge theory in four dimensions, but we discuss also field theories in other dimensions, conformal and nonconformal, with or without supersymmetry, and in particular the relation to QCD. We also discuss some implications for black hole physics.
Superstrings and topological strings at large
 N”, J. Math. Phys
"... We embed the large N ChernSimons/topological string duality in ordinary superstrings. This corresponds to a large N duality between generalized gauge systems with N = 1 supersymmetry in 4 dimensions and superstrings propagating on noncompact CalabiYau manifolds with certain fluxes turned on. We a ..."
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Cited by 254 (27 self)
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We embed the large N ChernSimons/topological string duality in ordinary superstrings. This corresponds to a large N duality between generalized gauge systems with N = 1 supersymmetry in 4 dimensions and superstrings propagating on noncompact CalabiYau manifolds with certain fluxes turned on. We also show that in a particular limit of the N = 1 gauge theory system, certain superpotential terms in the N = 1 system (including deformations if spacetime is noncommutative) are captured to all orders in 1/N by the amplitudes of noncritical bosonic strings propagating on a circle with selfdual radius. We also consider Dbrane/antiDbrane system wrapped over vanishing cycles of compact CalabiYau manifolds and argue that at large N they induce a shift in the background to a topologically distinct CalabiYau, which we identify as the ground state system of the Brane/antiBrane system. August
Multiple D0branes in Weakly Curved Backgrounds
, 1999
"... We investigate further our recent proposal for the form of the matrix theory action in weak background fields. Using Seiberg’s scaling argument we relate the matrix theory action to a lowenergy system of many D0branes in an arbitrary but weak NSNS and RR background. The resulting multiple D0bra ..."
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Cited by 80 (2 self)
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We investigate further our recent proposal for the form of the matrix theory action in weak background fields. Using Seiberg’s scaling argument we relate the matrix theory action to a lowenergy system of many D0branes in an arbitrary but weak NSNS and RR background. The resulting multiple D0brane action agrees with the known BornInfeld action in the case of a single brane and gives an explicit formulation of many additional terms which appear in the multiple brane action. The linear coupling to an arbitrary background metric satisfies the nontrivial consistency condition suggested by Douglas that the masses of offdiagonal fields are given by the geodesic distance between the corresponding pair of D0branes. This agreement arises from combinatorial factors which depend upon the symmetrized trace ordering prescription found earlier for higher moments of the matrix theory stressenergy tensor. We study the effect of a weak background metric on two graviton interactions and find that our formalism agrees with the results expected from supergravity. The results presented here can be Tdualized to give explicit formulae for the operators in any Dbrane worldvolume
Bethe Ansatz for a Quantum Supercoset Sigma Model
, 2005
"... We study an integrable conformal OSp(2m + 22m) supercoset model as an analog to the AdS5 × S 5 superstring worldsheet theory. Using the known Smatrix for this system, we obtain integral equations for states of large particle number in an SU(2) sector, which are exact in the sigma model coupling c ..."
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Cited by 55 (0 self)
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We study an integrable conformal OSp(2m + 22m) supercoset model as an analog to the AdS5 × S 5 superstring worldsheet theory. Using the known Smatrix for this system, we obtain integral equations for states of large particle number in an SU(2) sector, which are exact in the sigma model coupling constant. As a check, we derive as a limit the general classical Bethe equation of Kazakov, Marshakov, Minahan, and Zarembo. There are two distinct quantum expansions around the wellstudied classical limit, the λ −1/2 effects and the 1/J effects. Our approach captures the first type, but
Conformal field theory of the integer quantum Hall plateau transition
"... A solution to the longstanding problem of identifying the conformal field theory governing the transition between quantized Hall plateaus of a disordered noninteracting 2d electron gas, is proposed. The theory is a nonlinear sigma model with a WessZuminoNovikovWitten term, and fields taking valu ..."
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Cited by 49 (1 self)
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A solution to the longstanding problem of identifying the conformal field theory governing the transition between quantized Hall plateaus of a disordered noninteracting 2d electron gas, is proposed. The theory is a nonlinear sigma model with a WessZuminoNovikovWitten term, and fields taking values in a Riemannian symmetric superspace based on H 3 × S 3. Essentially the same conformal field theory appeared in very recent work on string propagation in AdS3 backgrounds. We explain how the proposed theory manages to obey a number of tight constraints, two of which are constancy of the partition function and noncriticality of the local density of states. An unexpected feature is the existence of a truly marginal deformation, restricting the extent to which universality can hold in critical quantum Hall systems. The marginal coupling is fixed by matching the shortdistance singularity of the conductance between two interior contacts to the classical conductivity σxx = 1/2 of the ChalkerCoddington network model. For this value, perturbation theory predicts a critical exponent Xt = 2/π for the typical pointcontact conductance, in agreement with numerical simulations. The irrational exponent is tolerated by the fact that the symmetry algebra of the field theory is Virasoro but not KacMoody. 1
Conformal field theory for the superstring in a RamondRamond planewave background
 JHEP
"... A quantizable worldsheet action is constructed for the superstring in a supersymmetric plane wave background with RamondRamond flux. The action is manifestly invariant under all isometries of the background and is an exact worldsheet conformal field theory. ..."
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Cited by 45 (1 self)
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A quantizable worldsheet action is constructed for the superstring in a supersymmetric plane wave background with RamondRamond flux. The action is manifestly invariant under all isometries of the background and is an exact worldsheet conformal field theory.
Quantization of the Type II Superstring in a Curved SixDimensional Background”, Nucl. Phys. B565
, 2000
"... A sigma model action with N=2 D=6 superspace variables is constructed for the Type II superstring compactified to six curved dimensions with RamondRamond flux. The action can be quantized since the sigma model is linear when the sixdimensional spacetime is flat. When the sixdimensional spacetime ..."
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Cited by 36 (8 self)
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A sigma model action with N=2 D=6 superspace variables is constructed for the Type II superstring compactified to six curved dimensions with RamondRamond flux. The action can be quantized since the sigma model is linear when the sixdimensional spacetime is flat. When the sixdimensional spacetime is AdS3 × S 3, the action reduces to one found earlier with Vafa and Witten. August
Vallilo, “Superstrings in 2D backgrounds with RR flux and new extremal black holes,” Nucl
 Phys. B
, 2001
"... The hybrid formalism is used to quantize the superstring compactified to twodimensional targetspace in a manifestly spacetime supersymmetric manner. A quantizable sigma model action is then constructed for the Type II superstring in curved twodimensional supergravity backgrounds which can include R ..."
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Cited by 36 (2 self)
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The hybrid formalism is used to quantize the superstring compactified to twodimensional targetspace in a manifestly spacetime supersymmetric manner. A quantizable sigma model action is then constructed for the Type II superstring in curved twodimensional supergravity backgrounds which can include RamondRamond flux. Such curved backgrounds include CalabiYau fourfold compactifications with RamondRamond flux, and new extremal black hole solutions in twodimensional dilaton supergravity theory. These black hole solutions are a natural generalization of the CGHS model and might be possible to describe using a supergroup version of the SL(2,R)/U(1) WZW model. We also study some dynamical aspects of the new black holes, such as formation and evaporation.