Showing papers on "AdS/CFT correspondence published in 1997"
TL;DR: In this paper, a local geometric realization of quantum field theories together with a local application of mirror symmetry is proposed to reduce non-trivial quantum field theory results to much better understood T -dualities of type 11 strings.
726 citations
TL;DR: In this article, the authors present four infinite series of new quantum theories with super-Poincare symmetry in six dimensions, which are not local quantum field theories and have string like excitations but the string is of order one.
467 citations
TL;DR: In this article, the authors describe interacting (2, 0) supersymmetric theories without gravity in six dimensions in the infinite momentum frame, and they are based on the large $N$ limit of quantum mechanics or 1+1 dimensional field theories on the moduli space of instantons in $\IR^4$.
Abstract: We propose descriptions of interacting (2,0) supersymmetric theories without gravity in six dimensions in the infinite momentum frame. They are based on the large $N$ limit of quantum mechanics or 1+1 dimensional field theories on the moduli space of $N$ instantons in $\IR^4$.
281 citations
TL;DR: In this article, the Coulomb and Higgs branches of supersymmetric vector and hypermultiplets with (4,4) supersymmetry have been studied and the interactions of these string theories are evaluated.
Abstract: We study 1+1-dimensional theories of vector and hypermultiplets with (4,4) supersymmetry. Despite strong infrared fluctuations, these theories flow in general to distinct conformal field theories on the Coulomb and Higgs branches. In some cases there may be a quantum Higgs theory even when there is no classical Higgs branch. The Higgs branches of certain such theories provide a framework for a matrix model of Type IIA fivebranes and the associated exotic six-dimensional string theories. Proposals concerning the interactions of these string theories are evaluated.
253 citations
TL;DR: In this article, the authors studied (4,4) supersymmetric field theories in two dimensions with a one dimensional Coulomb branch, and explained the known relation between $A-D-E$ groups and modular invariants of affine SU(2).
Abstract: We study (4,4) supersymmetric field theories in two dimensions with a one dimensional Coulomb branch. These theories have applications in string theory. Our analysis explains the known relation between $A-D-E$ groups and modular invariants of affine SU(2).
86 citations
TL;DR: In this article, the authors define central functions c(g) and c'g, useful to study the flow of the numbers of vector, spinor and scalar degrees of freedom from the UV limit to the IR limit and basic ingredients for a description of quantum field theory as an interpolating theory between pairs of 4D conformal field theories.
Abstract: I define central functions c(g) and c'(g) in quantum field theory, useful to study the flow of the numbers of vector, spinor and scalar degrees of freedom from the UV limit to the IR limit and basic ingredients for a description of quantum field theory as an interpolating theory between pairs of 4D conformal field theories. The key importance of the correlator of four stress-energy tensors is outlined in this respect. Then I focus the analysis on the behaviours of the central functions in QCD, computing their slopes in the UV critical point. To two-loops, c(g) and c'(g) point towards the expected IR directions. As a possible physical application, I argue that a closer study of the central functions might allow us to lower the upper bound on the number of generations to the observed value. Candidate all-order expressions for the central functions are compared with the predictions of electric-magnetic duality.
38 citations
TL;DR: In this paper, the Pauli-Jordan, Hadamard, and Feynman propagators for massive metrical perturbations on de Sitter space were computed in terms of mode sums and in invariant forms.
Abstract: We compute the Pauli–Jordan, Hadamard, and Feynman propagators for the massive metrical perturbations on de Sitter space. They are expressed both in terms of mode sums and in invariant forms.
20 citations
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TL;DR: In this article, the main principles of two-dimensional quantum field theories, in particular 2D QCD and gravity, are reviewed. But the authors focus on non-perturbative aspects of these theories which make them particularly valuable for testing ideas of 4D quantum field theory, and describe how the effective action of string theory in noncritical dimensions can be represented by Liouville gravity.
Abstract: The main principles of two-dimensional quantum field theories, in particular two-dimensional QCD and gravity are reviewed. We study non-perturbative aspects of these theories which make them particularly valuable for testing ideas of four-dimensional quantum field theory. The dynamics of confinement and theta vacuum are explained by using the non-perturbative methods developed in two dimensions. We describe in detail how the effective action of string theory in non-critical dimensions can be represented by Liouville gravity. By comparing the helicity amplitudes in four-dimensional QCD to those of integrable self-dual Yang-Mills theory, we extract a four dimensional version of two dimensional integrability.
8 citations