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498
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 Anti-de 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 1474 (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 Anti-de 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 non-conformal, with or without supersymmetry, and in particular the relation to QCD. We also discuss some implications for black hole physics.
Conformal properties of four-gluon Planar Amplitudes and Wilson Loops
, 2008
"... We present further evidence for a dual conformal symmetry in the four-gluon planar scattering amplitude in N = 4 SYM. We show that all the momentum integrals appearing in the perturbative on-shell calculations up to four loops are dual to true conformal integrals, well defined off shell. Assuming th ..."
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Cited by 202 (18 self)
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We present further evidence for a dual conformal symmetry in the four-gluon planar scattering amplitude in N = 4 SYM. We show that all the momentum integrals appearing in the perturbative on-shell calculations up to four loops are dual to true conformal integrals, well defined off shell. Assuming that the complete off-shell amplitude has this dual conformal symmetry and using the basic properties of factorization of infrared divergences, we derive the special form of the finite remainder previously found at weak coupling and recently reproduced at strong coupling by AdS/CFT. We show that the same finite term appears in a weak coupling calculation of a Wilson loop whose contour consists of four light-like segments associated with the gluon momenta. We also demonstrate that, due to the special form of the finite remainder, the asymptotic Regge limit of the four-gluon amplitude coincides with the exact expression evaluated for arbitrary values of the Mandelstam variables.
Baryons and branes in anti de Sitter space
- JHEP 9807
, 1998
"... In the mapping from four-dimensional gauge theories to string theory in AdS space, many features of gauge theory can be described by branes wrapped in different ways on S 5, RP 5, or subspaces therefore. These include a baryon vertex coupling N external charges in the fundamental representation of S ..."
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Cited by 149 (2 self)
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In the mapping from four-dimensional gauge theories to string theory in AdS space, many features of gauge theory can be described by branes wrapped in different ways on S 5, RP 5, or subspaces therefore. These include a baryon vertex coupling N external charges in the fundamental representation of SU(N), a bound state of k gluons in SO(2k) gauge theory, strings coupled to external charges in the spinor representation of the gauge group, and domain walls across which the low energy gauge group changes. May
Conformal Ward identities for Wilson loops and a test of the duality with gluon amplitudes
, 2007
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Exploring improved holographic theories for QCD
- Part I”, [ArXiv:0707.1324
"... Abstract: This paper is a continuation of ArXiv:0707.1324 where improved holographic theories for QCD were set up and explored. Here, the IR confining geometries are classified and analyzed. They all end in a “good ” (repulsive) singularity in the IR. The glueball spectra are gaped and discrete, and ..."
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Cited by 115 (15 self)
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Abstract: This paper is a continuation of ArXiv:0707.1324 where improved holographic theories for QCD were set up and explored. Here, the IR confining geometries are classified and analyzed. They all end in a “good ” (repulsive) singularity in the IR. The glueball spectra are gaped and discrete, and they favorably compare to the lattice data. Quite generally, confinement and discrete spectra imply each other. Asymptotically linear glueball masses can also be achieved. Asymptotic mass ratios of various glueballs with different spin also turn out to be universal. Mesons dynamics is implemented via space filling D4 − ¯ D4 brane pairs. The associated tachyon dynamics is analyzed and chiral symmetry breaking is shown. The dynamics of the RR axion is analyzed, and the non-perturbative running of the QCD θ-angle is obtained. It is shown to always vanish in the IR.
Wilson loops of anti-symmetric representation and D5-branes,” arXiv:hep-th/0603208
- J. Gomis and F. Passerini, “Holographic Wilson
"... We use a D5-brane with electric flux in AdS5 × S5 background to calculate the circular Wilson loop of anti-symmetric representation in N = 4 super Yang-Mills theory in 4 dimensions. The result agrees with the Gaussian matrix model calculation. 1 Introduction and summary The expectation values of Wil ..."
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Cited by 114 (6 self)
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We use a D5-brane with electric flux in AdS5 × S5 background to calculate the circular Wilson loop of anti-symmetric representation in N = 4 super Yang-Mills theory in 4 dimensions. The result agrees with the Gaussian matrix model calculation. 1 Introduction and summary The expectation values of Wilson loops are some of the most important kind of observables in a gauge theory. In particular, Wilson loops are interesting operators in AdS/CFT correspondence since they are calculable in AdS side using strings [1, 2]. In this paper, we are interested in the Wilson loop operators of the following kind in
Glueball mass spectra and other issues for supergravity duals of QCD models
- JHEP
"... We derive WKB expressions for glueball masses of various finite temperature supergravity models. The results are very close to recent numerical computations. We argue that the spectra has some universality that depends only on the dimension of the AdS space and the singularity structure of the horiz ..."
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Cited by 79 (2 self)
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We derive WKB expressions for glueball masses of various finite temperature supergravity models. The results are very close to recent numerical computations. We argue that the spectra has some universality that depends only on the dimension of the AdS space and the singularity structure of the horizon. This explains the stability of the 0 ++ glueball mass ratios between various models. We also consider the recently proposed nonsupersymmetric model arising from the type 0 string. In the supergravity limit of this model, the heavy quark potential has an effective coupling with 1/(log u) behavior in the UV. Unfortunately, the supergravity solution implies that the heavy quark potential is still coulombic in the infrared, with an effective coupling of order 1. We also argue that the type 0 supergravity background solution does not have normalizable glueball solutions. November
Brane intersections, anti-de Sitter spacetimes and dual superconformal theories, hep-th/9803231. 49 R.R Khuri, A comment on string solitons, Phys. Rev. D48
, 1993
"... and dual superconformal theories ..."
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