LOGARITHMIC CONFORMAL FIELD THEORIES AND AdS CORRESPONDENCE

Ghezelbash, A. M.; Khorrami, Mohammad; Aghamohammadi, Amir

doi:10.1142/s0217751x99001287

Cited by 60 publications

(83 citation statements)

References 31 publications

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“…Holographic duals to logCFTs were first considered for scalar operators in [66] and [67]; a thorough discussion is given in [68]. For the interesting spin-2 case there…”

Section: Holographic Logcftmentioning

confidence: 99%

The ABC (in any D) of logarithmic CFT

Hogervorst

Paulos

Vichi

2017

J. High Energ. Phys.

103

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Logarithmic conformal field theories have a vast range of applications, from critical percolation to systems with quenched disorder. In this paper we thoroughly examine the structure of these theories based on their symmetry properties. Our analysis is modelindependent and holds for any spacetime dimension. Our results include a determination of the general form of correlation functions and conformal block decompositions, clearing the path for future bootstrap applications. Several examples are discussed in detail, including logarithmic generalized free fields, holographic models, self-avoiding random walks and critical percolation.

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“…Holographic duals to logCFTs were first considered for scalar operators in [66] and [67]; a thorough discussion is given in [68]. For the interesting spin-2 case there…”

Section: Holographic Logcftmentioning

confidence: 99%

The ABC (in any D) of logarithmic CFT

Hogervorst

Paulos

Vichi

2017

J. High Energ. Phys.

103

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“…Now, the mode expansion of the fields θ has to be written in the form 44) where ξ are the crucial zero modes (they disappear in the expansion for ∂θ). Here n ∈ Z in the untwisted sector (ie.…”

Section: The Logarithmic C = −2 Theorymentioning

confidence: 99%

“…Other applications worth mentioning are gravitational dressing [8], polymers and Abelian sandpiles [13,56,84,106], the (fractional) quantum Hall effect [34,53,74], and -perhaps most importantly -disorder [5,6,14,15,50,51,68,83,101]. Finally, there are even applications in string theory [67], especially in D-brane recoil [10,24,26,47,69,77,79,87], AdS/CFT correspondence [44,60,65,72,73,93,94,107], and also in Seiberg-Witten solutions to supersymmetric Yang-Mills theories, e.g. [12,36,78], Last, but not least, a recent focus of research on LCFTs is in its boundary conformal field theory aspects [54,61,75,80,91].…”

Section: Introductionmentioning

confidence: 99%

Bits and Pieces in Logarithmic Conformal Field Theory

Flohr

2003

Int. J. Mod. Phys. A

227

341

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These notes cover only selected parts of the by now quite extensive knowledge on logarithmic conformal field theories. In particular, I discuss the proper generalization of null vectors towards the logarithmic case, and how these can be used to compute correlation functions. My other main topic is modular invariance, where I discuss the problem of the generalization of characters in the case of indecomposable representations, a proposal for a Verlinde formula for fusion rules and identities relating the partition functions of logarithmic conformal field theories to such of well known ordinary conformal field theories. These two main topics are complemented by some remarks on ghost systems, the Haldane-Rezayi fractional quantum Hall state, and the relation of these two to the logarithmic c = −2 theory.

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“…It is proved that the quenched disordered theory with Z = 1 can be described by logarithmic conformal field theory as well. The logarithmic conformal field theories (LCFT) [6][7] are extensions of conventional conformal field theories [8][9][10], which have emerged in recent years in a number of interesting physical problems of WZNW models [11][12][13][14][15], supergroups and super-symmetric field theories [16][17][18][19][20][21][22] Haldane-Rezzayi state in the fractional quantum Hall effect [23][24][25][26][27], multi-fractality [28], two-dimensional turbulence [29][30][31], gravitaitionally dressed theories [32], Polymer and abelian sandpiles [33][34][35]5], String theory and D-brane recoil [36][37][38][39][40][41][42][43][44], Ads/CFT correspondence [45][46][47][48][49]…”

Section: Introductionmentioning

confidence: 99%

Disordered Systems and Logarithmic Conformal Field Theory

Tabar

2003

Int. J. Mod. Phys. A

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We review a recent development in theoretical understanding of the quenched averaged correlation functions of disordered systems and the logarithmic conformal field theory (LCFT) in d-dimensions. The logarithmic conformal field theory is the generalization of the conformal field theory when the dilatation operator is not diagonal and has the Jordan form. It is discussed that at the random fixed point the disordered systems such as random-bond Ising model, Polymer chain, etc. are described by LCFT and their correlation functions have logarithmic singularities. As an example we discuss in detail the application of LCFT to the problem of random-bond Ising model in 2 ≤ d ≤ 4.

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LOGARITHMIC CONFORMAL FIELD THEORIES AND AdS CORRESPONDENCE

Cited by 60 publications

References 31 publications

The ABC (in any D) of logarithmic CFT

The ABC (in any D) of logarithmic CFT

Bits and Pieces in Logarithmic Conformal Field Theory

Disordered Systems and Logarithmic Conformal Field Theory

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