FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS, ISSN 0015-8208, 08/2019, Volume 67, Issue 8-9, p. 1910018

Logarithmic conformal field theories are based on vertex algebras with non-semisimple representation categories...

CORRELATORS | modular tensor category | ALGEBRAS | Lego-Teichmuller game | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | INVARIANTS | 3-MANIFOLDS | logarithmic conformal field theory | CATEGORIES | modular functor | modular Frobenius algebra | Algebra | Conferences, meetings and seminars | Statistics | Conferences and conventions

CORRELATORS | modular tensor category | ALGEBRAS | Lego-Teichmuller game | REPRESENTATIONS | PHYSICS, MULTIDISCIPLINARY | INVARIANTS | 3-MANIFOLDS | logarithmic conformal field theory | CATEGORIES | modular functor | modular Frobenius algebra | Algebra | Conferences, meetings and seminars | Statistics | Conferences and conventions

Journal Article

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2013, Volume 46, Issue 49, pp. 494010 - 52

Conformal sigma models and Wess-Zumino-Witten (WZW) models on coset superspaces provide important examples of logarithmic conformal field theories...

CHARACTER FORMULAS | AFFINE LIE-SUPERALGEBRAS | REPRESENTATION-THEORY | SUPERSYMMETRY | SIGMA-MODELS | PHYSICS, MULTIDISCIPLINARY | WZW-MODEL | DENOMINATOR IDENTITY | PHYSICS, MATHEMATICAL | LOGARITHMIC OPERATORS | LATTICE APPROACH | STRING THEORY | String theory | Construction | Condensed matter | Classification | Field theory | Mathematical models | Strings

CHARACTER FORMULAS | AFFINE LIE-SUPERALGEBRAS | REPRESENTATION-THEORY | SUPERSYMMETRY | SIGMA-MODELS | PHYSICS, MULTIDISCIPLINARY | WZW-MODEL | DENOMINATOR IDENTITY | PHYSICS, MATHEMATICAL | LOGARITHMIC OPERATORS | LATTICE APPROACH | STRING THEORY | String theory | Construction | Condensed matter | Classification | Field theory | Mathematical models | Strings

Journal Article

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2015, Volume 48, Issue 4, pp. 04FT01 - 11

... (such as in those described by non-unitary conformal field theories), behaves as S-n similar to c(eff)(n + 1)/6n log l, where c(eff) = c - 24 Delta...

conformal field theory | quantum spin chains | entanglement entropy | one-dimensional quantum theories | non-unitary models | INVARIANCE | PHYSICS, MULTIDISCIPLINARY | PHASE-TRANSITIONS | MODEL | PHYSICS, MATHEMATICAL | LEE EDGE SINGULARITY | SYMMETRY | IMAGINARY FIELD | LATTICES | LOGARITHMIC OPERATORS | NON-HERMITIAN HAMILTONIANS | Algebra | Mathematical analysis | Charge | Ground state | Field theory | Mathematical models | Entanglement | Entropy

conformal field theory | quantum spin chains | entanglement entropy | one-dimensional quantum theories | non-unitary models | INVARIANCE | PHYSICS, MULTIDISCIPLINARY | PHASE-TRANSITIONS | MODEL | PHYSICS, MATHEMATICAL | LEE EDGE SINGULARITY | SYMMETRY | IMAGINARY FIELD | LATTICES | LOGARITHMIC OPERATORS | NON-HERMITIAN HAMILTONIANS | Algebra | Mathematical analysis | Charge | Ground state | Field theory | Mathematical models | Entanglement | Entropy

Journal Article

Nuclear Physics, Section B, ISSN 0550-3213, 2010, Volume 834, Issue 3, pp. 399 - 422

A good understanding of conformal field theory (CFT) at c = 0 is vital to the physics of disordered systems, as well as geometrical problems such as polymers and percolation...

MONTE-CARLO | INVARIANCE | DISORDERED-SYSTEMS | LOGARITHMIC MINIMAL MODELS | ALGEBRAS | FUSION | REPRESENTATIONS | LOOP MODELS | PERCOLATION | CRITICAL-POINT | PHYSICS, PARTICLES & FIELDS

MONTE-CARLO | INVARIANCE | DISORDERED-SYSTEMS | LOGARITHMIC MINIMAL MODELS | ALGEBRAS | FUSION | REPRESENTATIONS | LOOP MODELS | PERCOLATION | CRITICAL-POINT | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2017, Volume 50, Issue 40, p. 404004

The two pillars of rational conformal field theory and rational vertex operator algebras are modularity of characters, and the interpretation of its category of modules as a modular tensor category...

Verlindes formula | logarithmic VOA | modular forms | category | HOPF-ALGEBRAS | Verlinde's formula | FUSION RULES | PHYSICS, MULTIDISCIPLINARY | QUANTUM GROUPS | PHYSICS, MATHEMATICAL | FAMILY | FALSE THETA-FUNCTIONS | SYMPLECTIC FERMIONS | VERLINDE FORMULAS | VERTEX OPERATOR-ALGEBRAS | W-ALGEBRAS | TRANSFORMATIONS

Verlindes formula | logarithmic VOA | modular forms | category | HOPF-ALGEBRAS | Verlinde's formula | FUSION RULES | PHYSICS, MULTIDISCIPLINARY | QUANTUM GROUPS | PHYSICS, MATHEMATICAL | FAMILY | FALSE THETA-FUNCTIONS | SYMPLECTIC FERMIONS | VERLINDE FORMULAS | VERTEX OPERATOR-ALGEBRAS | W-ALGEBRAS | TRANSFORMATIONS

Journal Article

6.
Full Text
Operator product expansion of inflationary correlators and conformal symmetry of de Sitter

Nuclear Physics, Section B, ISSN 0550-3213, 11/2012, Volume 864, Issue 3, pp. 492 - 529

... inflaton. The corresponding perturbations are both scale invariant and special conformally invariant. We exploit the operator product expansion technique of conformal field theories...

Conformal field theory | Inflation | Operator product expansion | Suyama–Yamaguchi inequality | Curvaton | Non-Gaussianities | Suyama-Yamaguchi inequality | RENORMALIZATION-GROUP | FIELD-THEORY | DENSITY PERTURBATIONS | MODELS | FLUCTUATIONS | LOGARITHMIC OPERATORS | UNIVERSE | PHYSICS, PARTICLES & FIELDS | Inflation (Finance) | Universities and colleges

Conformal field theory | Inflation | Operator product expansion | Suyama–Yamaguchi inequality | Curvaton | Non-Gaussianities | Suyama-Yamaguchi inequality | RENORMALIZATION-GROUP | FIELD-THEORY | DENSITY PERTURBATIONS | MODELS | FLUCTUATIONS | LOGARITHMIC OPERATORS | UNIVERSE | PHYSICS, PARTICLES & FIELDS | Inflation (Finance) | Universities and colleges

Journal Article

Advances in mathematics (New York. 1965), ISSN 0001-8708, 2017, Volume 307, pp. 598 - 639

... system of bulk field correlators for a conformal field theory which comprises invariance under mapping class group...

Non-semisimple conformal field theory | Correlation function | Finite ribbon category | Frobenius algebra | Modular functor | Logarithmic conformal field theory | REPRESENTATIONS | CENTRAL EXTENSIONS | INVARIANTS | MAPPING CLASS-GROUPS | FINITE TENSOR CATEGORIES | MATHEMATICS | SEWING CONSTRAINTS | VERTEX OPERATOR-ALGEBRAS | 3-MANIFOLDS | SURFACE | Algebra

Non-semisimple conformal field theory | Correlation function | Finite ribbon category | Frobenius algebra | Modular functor | Logarithmic conformal field theory | REPRESENTATIONS | CENTRAL EXTENSIONS | INVARIANTS | MAPPING CLASS-GROUPS | FINITE TENSOR CATEGORIES | MATHEMATICS | SEWING CONSTRAINTS | VERTEX OPERATOR-ALGEBRAS | 3-MANIFOLDS | SURFACE | Algebra

Journal Article

Journal of Physics A: Mathematical and Theoretical, ISSN 1751-8113, 03/2016, Volume 49, Issue 17, p. 174002

The central charge of the dimer model on the square lattice is still being debated in the literature. In this paper, we provide evidence supporting the...

integrability | Temperley-Lieb algebra | integrals of motion | conformal field theory | dimer model | Feigin-Fuchs modules | critical dense polymers | STATISTICAL-MECHANICS | PHYSICS, MULTIDISCIPLINARY | BOUNDARY-CONDITIONS | FIELD-THEORIES | VIRASORO ALGEBRA | PHYSICS, MATHEMATICAL | FINITE-SIZE CORRECTIONS | LOGARITHMIC MINIMAL MODELS | ISING-MODEL | POTTS-MODEL

integrability | Temperley-Lieb algebra | integrals of motion | conformal field theory | dimer model | Feigin-Fuchs modules | critical dense polymers | STATISTICAL-MECHANICS | PHYSICS, MULTIDISCIPLINARY | BOUNDARY-CONDITIONS | FIELD-THEORIES | VIRASORO ALGEBRA | PHYSICS, MATHEMATICAL | FINITE-SIZE CORRECTIONS | LOGARITHMIC MINIMAL MODELS | ISING-MODEL | POTTS-MODEL

Journal Article

Nuclear physics. B, ISSN 0550-3213, 2002, Volume 633, Issue 3, pp. 379 - 413

We construct logarithmic conformal field theories starting from an ordinary conformal field theory...

Conformal field theory | Logarithmic conformal field theory | CFT | conformal field theory | logarithmic conformal field theory | OPERATORS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Conformal field theory | Logarithmic conformal field theory | CFT | conformal field theory | logarithmic conformal field theory | OPERATORS | PHYSICS, PARTICLES & FIELDS | Physics - High Energy Physics - Theory

Journal Article

Journal of Statistical Mechanics: Theory and Experiment, ISSN 1742-5468, 10/2012, Volume 2012, Issue 10, pp. P10002 - 44

... as described by a conformal field theory with central chargec = -2.

solvable lattice models | conformal field theory | dimers (theory) | loop models and polymers | STATISTICAL-MECHANICS | MECHANICS | FIELD-THEORY | CRITICALITY | ABELIAN SANDPILE MODEL | QUADRATIC LATTICE | PHYSICS, MATHEMATICAL | LOGARITHMIC OPERATORS | Charge density | Algebra | Continuums | Mathematical models | Dimers | Spectra | Representations | Statistical mechanics

solvable lattice models | conformal field theory | dimers (theory) | loop models and polymers | STATISTICAL-MECHANICS | MECHANICS | FIELD-THEORY | CRITICALITY | ABELIAN SANDPILE MODEL | QUADRATIC LATTICE | PHYSICS, MATHEMATICAL | LOGARITHMIC OPERATORS | Charge density | Algebra | Continuums | Mathematical models | Dimers | Spectra | Representations | Statistical mechanics

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 05/2017, Volume 2017, Issue 5, pp. 1 - 38

.... We demonstrate their interplay with the logarithmic global conformal Ward identities. We compute the four point function for one projective and three typical representations...

AdS-CFT Correspondence | Conformal Field Theory | Conformal Field Models in String Theory | LOGARITHMIC CFT | CONFORMAL FIELD-THEORY | WZW-MODEL | CURRENT-ALGEBRA | OPERATOR PRODUCT EXPANSION | PHYSICS, PARTICLES & FIELDS | Hypergeometric functions | Physics - High Energy Physics - Theory

AdS-CFT Correspondence | Conformal Field Theory | Conformal Field Models in String Theory | LOGARITHMIC CFT | CONFORMAL FIELD-THEORY | WZW-MODEL | CURRENT-ALGEBRA | OPERATOR PRODUCT EXPANSION | PHYSICS, PARTICLES & FIELDS | Hypergeometric functions | Physics - High Energy Physics - Theory

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 01/2007, Volume 22, Issue 1, pp. 67 - 82

It is discussed how a limiting procedure of conformal field theories may result in logarithmic conformal field theories with Jordan cells of arbitrary rank...

Logarithmic conformal field theory | Virasoro characters | Minimal models | Physics - High Energy Physics - Theory

Logarithmic conformal field theory | Virasoro characters | Minimal models | Physics - High Energy Physics - Theory

Journal Article

13.
Full Text
Fermionic expressions for the characters of cp, 1 logarithmic conformal field theories

Nuclear Physics B, ISSN 0550-3213, 04/2007, Volume 768, Issue 3, pp. 263 - 276

We present fermionic quasi-particle sum representations consisting of a single fundamental fermionic form for all characters of the logarithmic conformal field theory models with central charge c , p...

Character identities | Logarithmic conformal field theory

Character identities | Logarithmic conformal field theory

Journal Article

Theoretical and Mathematical Physics, ISSN 0040-5779, 3/2008, Volume 154, Issue 3, pp. 433 - 453

We review the properties of quantum groups occurring as the Kazhdan-Lusztig dual to logarithmic conformal field theory models...

ribbon structure | Grothendieck ring | quantum group | modular group | Mathematical and Computational Physics | factorizable structure | Kazhdan-Lusztig correspondence | Applications of Mathematics | logarithmic conformal field theory | Physics | Modular group | Quantum group | Logarithmic conformal field theory | Ribbon structure | Factorizable structure | FUSION | EXTENSIONS | PHYSICS, MULTIDISCIPLINARY | INVARIANTS | PHYSICS, MATHEMATICAL | ALGEBRAS | REPRESENTATION-THEORY | SYMMETRY | 3-MANIFOLDS

ribbon structure | Grothendieck ring | quantum group | modular group | Mathematical and Computational Physics | factorizable structure | Kazhdan-Lusztig correspondence | Applications of Mathematics | logarithmic conformal field theory | Physics | Modular group | Quantum group | Logarithmic conformal field theory | Ribbon structure | Factorizable structure | FUSION | EXTENSIONS | PHYSICS, MULTIDISCIPLINARY | INVARIANTS | PHYSICS, MATHEMATICAL | ALGEBRAS | REPRESENTATION-THEORY | SYMMETRY | 3-MANIFOLDS

Journal Article

International Journal of Modern Physics A, ISSN 0217-751X, 04/2006, Volume 21, Issue 11, pp. 2237 - 2258

Conformal field theory in two dimensions has, over the years, been an extremely useful tool for a variety of physical and mathematical problems...

Conformal field theory | Logarithmic conformal field theory | SLE | conformal field theory | PHYSICS, NUCLEAR | EVOLUTIONS | logarithmic conformal field theory | PHYSICS, PARTICLES & FIELDS

Conformal field theory | Logarithmic conformal field theory | SLE | conformal field theory | PHYSICS, NUCLEAR | EVOLUTIONS | logarithmic conformal field theory | PHYSICS, PARTICLES & FIELDS

Journal Article

NUCLEAR PHYSICS B, ISSN 0550-3213, 07/2011, Volume 848, Issue 1, pp. 216 - 250

The fusion rules of conformal field theories admitting an (s) over cap[(2)-symmetry at level k = -1/2 are studied...

CONFORMAL FIELD-THEORY | REPRESENTATIONS | Logarithmic conformal field theory | PRODUCTS | PERCOLATION | Fractional level WZW model | MINIMAL MODELS | WZW MODEL | ALGEBRAIC APPROACH | Fusion | PHYSICS, PARTICLES & FIELDS

CONFORMAL FIELD-THEORY | REPRESENTATIONS | Logarithmic conformal field theory | PRODUCTS | PERCOLATION | Fractional level WZW model | MINIMAL MODELS | WZW MODEL | ALGEBRAIC APPROACH | Fusion | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 03/2007, Volume 2007, Issue 3, p. 003

...( 1, 1 vertical bar 2) is the essential building block for string theory on AdS(3) x S-3 x T-4. Models associated with a non-vanishing value of the RR flux can be obtained through a psu...

Conformal and W symmetry | Superspaces | Conformal field models in string theory | Space-time symmetries | conformal and W symmetry | conformal field models in string theory | BETA-FUNCTION | FUSION RULES | REPRESENTATIONS | WZW-MODEL | superspaces | space-time symmetries | HIGHEST WEIGHT | STRING THEORY | ALGEBRAS | SYMMETRY | CONFORMAL FIELD-THEORY | LOGARITHMIC OPERATORS | PHYSICS, PARTICLES & FIELDS

Conformal and W symmetry | Superspaces | Conformal field models in string theory | Space-time symmetries | conformal and W symmetry | conformal field models in string theory | BETA-FUNCTION | FUSION RULES | REPRESENTATIONS | WZW-MODEL | superspaces | space-time symmetries | HIGHEST WEIGHT | STRING THEORY | ALGEBRAS | SYMMETRY | CONFORMAL FIELD-THEORY | LOGARITHMIC OPERATORS | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of physics. A, Mathematical and theoretical, ISSN 1751-8121, 2016, Volume 49, Issue 12, p. 125401

... + 1-dimensional massive quantum field theory, not necessarily integrable. We compute the negativity between a finite region of length r and an adjacent semi-infinite region, and that between two semi-infinite regions separated by a distance r...

quantum field theory in 1+1 dimensions | conformal field theory | logarithmic negativity | entanglement measures in many-body quantum systems | SINE-GORDON MODEL | PHYSICS, MULTIDISCIPLINARY | FORM-FACTORS | PHYSICS, MATHEMATICAL | ENTANGLEMENT ENTROPY | Infinity | Mathematical analysis | Decay | Displays | Entanglement | Entropy | Bessel functions | Quantum theory

quantum field theory in 1+1 dimensions | conformal field theory | logarithmic negativity | entanglement measures in many-body quantum systems | SINE-GORDON MODEL | PHYSICS, MULTIDISCIPLINARY | FORM-FACTORS | PHYSICS, MATHEMATICAL | ENTANGLEMENT ENTROPY | Infinity | Mathematical analysis | Decay | Displays | Entanglement | Entropy | Bessel functions | Quantum theory

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 09/2007, Volume 2007, Issue 9, pp. 085 - 85

.... In preparation for the field theory analysis, we shall exploit a minisuperspace analogue of the resulting free fermion construction to deduce the spectrum of the Laplacian on type I supergroups...

Conformal and W symmetry | Superspaces | Conformal field models in string theory | Space-time symmetries | conformal and W symmetry | conformal field models in string theory | WEIGHT MODULES | WZW-MODEL | superspaces | space-time symmetries | ZUMINO-WITTEN MODEL | ALGEBRAS | REPRESENTATION-THEORY | SIGMA-MODELS | CONSTRUCTION | SUPERALGEBRAS | CONFORMAL FIELD-THEORIES | LOGARITHMIC OPERATORS | PHYSICS, PARTICLES & FIELDS

Conformal and W symmetry | Superspaces | Conformal field models in string theory | Space-time symmetries | conformal and W symmetry | conformal field models in string theory | WEIGHT MODULES | WZW-MODEL | superspaces | space-time symmetries | ZUMINO-WITTEN MODEL | ALGEBRAS | REPRESENTATION-THEORY | SIGMA-MODELS | CONSTRUCTION | SUPERALGEBRAS | CONFORMAL FIELD-THEORIES | LOGARITHMIC OPERATORS | PHYSICS, PARTICLES & FIELDS

Journal Article

Journal of High Energy Physics, ISSN 1126-6708, 07/2008, Volume 2008, Issue 7, pp. 134 - 134

.... We demonstrate the presence of a negative energy bulk mode that grows linearly in time. Unless there are physical reasons to discard this mode, this theory is unstable...

AdS-CFT correspondence | Classical theories of gravity | Models of quantum gravity | models of quantum gravity | ANGULAR-MOMENTUM | SYMMETRIES | classical theories of gravity | CONSTANT | BLACK-HOLE | ADS | GAUGE-THEORIES | CONFORMAL FIELD-THEORY | SPACETIME | LOGARITHMIC OPERATORS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS

AdS-CFT correspondence | Classical theories of gravity | Models of quantum gravity | models of quantum gravity | ANGULAR-MOMENTUM | SYMMETRIES | classical theories of gravity | CONSTANT | BLACK-HOLE | ADS | GAUGE-THEORIES | CONFORMAL FIELD-THEORY | SPACETIME | LOGARITHMIC OPERATORS | RENORMALIZATION | PHYSICS, PARTICLES & FIELDS

Journal Article

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