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A theory for multiresolution signal decomposition : the wavelet representation
 IEEE Transaction on Pattern Analysis and Machine Intelligence
, 1989
"... AbstractMultiresolution representations are very effective for analyzing the information content of images. We study the properties of the operator which approximates a signal at a given resolution. We show that the difference of information between the approximation of a signal at the resolutions ..."
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Cited by 3538 (12 self)
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AbstractMultiresolution representations are very effective for analyzing the information content of images. We study the properties of the operator which approximates a signal at a given resolution. We show that the difference of information between the approximation of a signal at the resolutions
Longrange psu(2, 24) Bethe Ansätze for Gauge Theory and Strings
, 2005
"... We generalize various existing higherloop Bethe ansätze for simple sectors of the integrable longrange dynamic spin chain describing planar N = 4 Super YangMills Theory to the full psu(2, 24) symmetry and, asymptotically, to arbitrary loop order. We perform a large number of tests of our conject ..."
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Cited by 86 (5 self)
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Bethe ansatz from the gauge theory dilatation operator. We conjecture novel allorder Smatrices for the su(12) and psu(1, 12) subsectors, and show that they satisfy the YangBaxter equation. Throughout the paper, we muse about the idea that quantum string theory on AdS5 × S 5 is also described by a
Exactly marginal operators and duality in fourdimensional N=1 supersymmetric Gauge theory
 PHYS. B
, 1995
"... We show that manifolds of fixed points, which are generated by exactly marginal operators, are common in N=1 supersymmetric gauge theory. We present a unified and simple prescription for identifying these operators, using tools similar to those employed in twodimensional N=2 supersymmetry. In parti ..."
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Cited by 236 (7 self)
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We show that manifolds of fixed points, which are generated by exactly marginal operators, are common in N=1 supersymmetric gauge theory. We present a unified and simple prescription for identifying these operators, using tools similar to those employed in twodimensional N=2 supersymmetry
ElectricMagnetic duality and the geometric Langlands program
, 2006
"... The geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N = 4 super YangMills theory in four dimensions. The key ingredients are electricmagnetic duality of gauge theory, mirror symmetry of sigmamodels, branes, Wilson and ’t H ..."
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Cited by 294 (26 self)
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The geometric Langlands program can be described in a natural way by compactifying on a Riemann surface C a twisted version of N = 4 super YangMills theory in four dimensions. The key ingredients are electricmagnetic duality of gauge theory, mirror symmetry of sigmamodels, branes, Wilson and ’t
Renormalization group flows from holography  Supersymmetry and a ctheorem
 ADV THEOR. MATH. PHYS
, 1999
"... We obtain first order equations that determine a supersymmetric kink solution in fivedimensional N = 8 gauged supergravity. The kink interpolates between an exterior antide Sitter region with maximal supersymmetry and an interior antide Sitter region with one quarter of the maximal supersymmetry. ..."
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Cited by 294 (25 self)
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between fields of bulk supergravity in the interior antide Sitter region and composite operators of the infrared field theory. We also point out that the truncation used to find the reduced symmetry critical point can be extended to obtain a new N = 4 gauged supergravity theory holographically dual to a
Covariant operator formalism of gauge theories and quantum gravity,” World Sci. Lect. Notes Phys
, 1990
"... The new method proposed previously for solving the covariant operator formalism of quantum Einstein gravity is applied to quantum electrodynamics as an exercise of the application to quantum chromodynamics. The purposes of doing this are to establish the details of the method and to reconfirm the va ..."
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Cited by 214 (5 self)
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the validity of the method. The Wightman functions are explicitly constructed, at tree and oneloop levels, so as to be consistent with fourdimensional multiple (anti)commutators and with the energypositivity condition. Quantum chromodynamics is a nonabelian gauge theory, for which the covariant operator
The factorized Smatrix of CFT/AdS
, 2004
"... We argue that the recently discovered integrability in the largeN CFT/AdS system is equivalent to diffractionless scattering of the corresponding hidden elementary excitations. This suggests that, perhaps, the key tool for finding the spectrum of this system is neither the gauge theory’s dilatati ..."
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Cited by 240 (7 self)
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dilatation operator nor the string sigma model’s quantum Hamiltonian, but instead the respective factorized Smatrix. To illustrate the idea, we focus on the closed fermionic su(11) sector of the N = 4 gauge theory. We introduce a new technique, the perturbative asymptotic Bethe ansatz, and use
Chiral rings and anomalies in supersymmetric gauge theory
 JHEP
, 2002
"... Motivated by recent work of Dijkgraaf and Vafa, we study anomalies and the chiral ring structure in a supersymmetric U(N) gauge theory with an adjoint chiral superfield and an arbitrary superpotential. A certain generalization of the Konishi anomaly leads to an equation which is identical to the loo ..."
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Cited by 161 (7 self)
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Motivated by recent work of Dijkgraaf and Vafa, we study anomalies and the chiral ring structure in a supersymmetric U(N) gauge theory with an adjoint chiral superfield and an arbitrary superpotential. A certain generalization of the Konishi anomaly leads to an equation which is identical
The complete oneloop dilatation operator of N = 4 super YangMills theory,” hepth/0307015
 N. Beisert and M. Staudacher, “The N
"... ar ..."
Gaugestring duality for (non)supersymmetric deformations of N=4 Super YangMills theory
, 2005
"... We consider a nonsupersymmetric example of the AdS/CFT duality which generalizes the supersymmetric exactly marginal deformation constructed in hepth/0502086. The string theory background we use was found in hepth/0503201 from the AdS5 × S 5 by a combination of Tdualities and shifts of angular c ..."
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is to make a special choice of the spin chain Hamiltonian representing the 1loop gauge theory dilatation operator. This choice is adapted to lowenergy approximation, i.e. it allows one to capture the right vacuum states and the “macroscopic spin wave ” sector of states of the spin chain in the continuum
Results 1  10
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2,821