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177
Quantum field theory on noncommutative spaces
"... A pedagogical and selfcontained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the WeylWigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommuta ..."
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Cited by 396 (26 self)
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A pedagogical and selfcontained introduction to noncommutative quantum field theory is presented, with emphasis on those properties that are intimately tied to string theory and gravity. Topics covered include the WeylWigner correspondence, noncommutative Feynman diagrams, UV/IR mixing, noncommutative YangMills theory on infinite space and on the torus, Morita equivalences of noncommutative gauge theories, twisted reduced models, and an indepth study of the gauge group of noncommutative YangMills theory. Some of the more mathematical ideas and
On conformal field theories
 in fourdimensions,” Nucl. Phys. B533
, 1998
"... We review the generalization of field theory to spacetime with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last ..."
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Cited by 365 (0 self)
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We review the generalization of field theory to spacetime with noncommuting coordinates, starting with the basics and covering most of the active directions of research. Such theories are now known to emerge from limits of M theory and string theory, and to describe quantum Hall states. In the last few years they have been studied intensively, and many qualitatively new phenomena have been discovered, both on the classical and quantum level. Submitted to Reviews of Modern Physics.
Sduality and noncommutative gauge theory
 JHEP
, 2000
"... It is conjectured that strongly coupled, spatially noncommutative N = 4 YangMills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings. Evidence for this conjecture is given by the ab ..."
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Cited by 118 (2 self)
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It is conjectured that strongly coupled, spatially noncommutative N = 4 YangMills theory has a dual description as a weakly coupled open string theory in a near critical electric field, and that this dual theory is fully decoupled from closed strings. Evidence for this conjecture is given by the absence of physical closed string poles in the nonplanar oneloop open string diagram. The open string theory can be viewed as living in a geometry
Towards strange metallic holography
"... We initiate a holographic model building approach to ‘strange metallic ’ phenomenology. Our model couples a neutral Lifshitzinvariant quantum critical theory, dual to a bulk gravitational background, to a finite density of gapped probe charge carriers, dually described by Dbranes. In the physical ..."
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Cited by 117 (18 self)
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We initiate a holographic model building approach to ‘strange metallic ’ phenomenology. Our model couples a neutral Lifshitzinvariant quantum critical theory, dual to a bulk gravitational background, to a finite density of gapped probe charge carriers, dually described by Dbranes. In the physical regime of temperature much lower than the charge density and gap, we exhibit anomalous scalings of the temperature and frequency dependent conductivity. Choosing the dynamical critical exponent z appropriately we can match the nonFermi liquid scalings, such as linear resistivity, observed in strange metal regimes. As part of our investigation we outline three distinct string theory realizations of Lifshitz geometries: from F theory, from polarised branes, and from a gravitating charged Fermi gas. We also identify general features of renormalisation group flow in Lifshitz theories, such as the appearance of relevant chargecharge interactions when z ≥ 2. We outline a program to extend this model building approach to other anomalous observables of
Moyal planes are spectral triples
, 2003
"... Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative quantum field theory, the spaces R 2N endowed with Moyal products are intensively investigated. Some physical applications, ..."
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Cited by 75 (20 self)
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Axioms for nonunital spectral triples, extending those introduced in the unital case by Connes, are proposed. As a guide, and for the sake of their importance in noncommutative quantum field theory, the spaces R 2N endowed with Moyal products are intensively investigated. Some physical applications, such as the construction of noncommutative Wick monomials and the computation of the Connes–Lott functional action, are given for these noncommutative hyperplanes.
General properties of noncommutative field theories
, 2003
"... In this paper we study general properties of noncommutative field theories obtained from the SeibergWitten limit of string theories in the presence of an external Bfield. We analyze the extension of the Wightman axioms to this context and explore their consequences, in particular we present a proo ..."
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Cited by 72 (3 self)
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In this paper we study general properties of noncommutative field theories obtained from the SeibergWitten limit of string theories in the presence of an external Bfield. We analyze the extension of the Wightman axioms to this context and explore their consequences, in particular we present a proof of the CPT theorem for theories with spacespace noncommutativity. We analyze as well questions associated to the spinstatistics connections, and show that noncommutative N = 4, U(1) gauge theory can be softly broken to N = 0 satisfying the axioms and providing an example where the Wilsonian low energy effective action can be constructed without UV/IR problems, after a judicious choice of soft breaking parameters is made. We also assess the phenomenological prospects of such a theory, which are in fact rather negative.
Supergravity and spacetime noncommutative open string theory
"... We study the noncritical spacetime noncommutative open string (NCOS) theory using a dual supergravity description in terms of a certain nearhorizon limit of the F1Dp bound state. We find the thermodynamics of NCOS theory from supergravity. The thermodynamics is equivalent to YangMills theory o ..."
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Cited by 63 (5 self)
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We study the noncritical spacetime noncommutative open string (NCOS) theory using a dual supergravity description in terms of a certain nearhorizon limit of the F1Dp bound state. We find the thermodynamics of NCOS theory from supergravity. The thermodynamics is equivalent to YangMills theory on a commutative spacetime. We argue that this fact does not have to be in contradiction with the expected Hagedorn behaviour of NCOS theory. To support this we consider string corrections to the thermodynamics. We also discuss the relation to Little String Theory in 6 dimensions. 1
1+1 dimensional NCOS and its U(N) gauge theory dual,” Int
 J. Mod. Phys. A
"... We study some aspects of open string theories on Dbranes with critical electric fields. We show that the massless open string modes that move in the direction of the electric field decouple. In the 1+1 dimensional case the dual theory is U(N) SYM with electric flux, and the decoupling of massless o ..."
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Cited by 48 (2 self)
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We study some aspects of open string theories on Dbranes with critical electric fields. We show that the massless open string modes that move in the direction of the electric field decouple. In the 1+1 dimensional case the dual theory is U(N) SYM with electric flux, and the decoupling of massless open strings is dual to the decoupling of the U(1) degrees of freedom. We also show that, if the direction along the electric field is compact, then there are finite energy winding closed string modes. They are dual to Higgs branch excitations of the SYM theory, and their energetics works accordingly. These properties provide new nontrivial evidence for the duality. We study some aspects of noncommutative open string theories. These are open string theories on branes in the presence of a critical electric field. More precisely, they are defined through a scaling limit where the electric field is taken to its critical value [1, 2] (for earlier work, see [3], and for other recent work [4, 5, 6, 7, 8]). The resulting open string theory is the
Dipoles, twists and noncommutative gauge theory
 JHEP
"... Tduality of gauge theories on a noncommutative T d can be extended to include fields with twisted boundary conditions. The resulting Tdual theories contain novel nonlocal fields. These fields represent dipoles of constant magnitude. Several unique properties of field theories on noncommutative spa ..."
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Cited by 47 (6 self)
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Tduality of gauge theories on a noncommutative T d can be extended to include fields with twisted boundary conditions. The resulting Tdual theories contain novel nonlocal fields. These fields represent dipoles of constant magnitude. Several unique properties of field theories on noncommutative spaces have simpler counterparts in the
Open Branes in SpaceTime NonCommutative Little String Theory,” Nucl.Phys. B593
, 2001
"... We conjecture the existence of two new nongravitational sixdimensional string theories, defined as the decoupling limit of NS5branes in the background of critical electrical two and threeform RR fields. These theories are spacetime noncommutative Little String Theories with open branes. The th ..."
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Cited by 46 (4 self)
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We conjecture the existence of two new nongravitational sixdimensional string theories, defined as the decoupling limit of NS5branes in the background of critical electrical two and threeform RR fields. These theories are spacetime noncommutative Little String Theories with open branes. The theory with (2, 0) supersymmetry has an open membrane in the spectrum and reduces to OM theory at low energies. The theory with (1, 1) supersymmetry has an open string in the spectrum and reduces to 5+1 dimensional NCOS theory for weak NCOS coupling and low energies. The theories are shown to be Tdual with the open membrane being Tdual to the open string. The theories therefore provide a connection between 5+1 dimensional NCOS theory and OM theory. We study the supergravity duals of these theories and we consider a chain of dualities that shows how the Tduality between the two theories is connected with the Sduality between 4+1 dimensional NCOS theory and OM theory. 1