# Logarithmic Conformal Field Theory - or - How to Compute a Torus Amplitude on the Sphere

@article{Flohr2004LogarithmicCF, title={Logarithmic Conformal Field Theory - or - How to Compute a Torus Amplitude on the Sphere}, author={Michael A.I. Flohr}, journal={arXiv: High Energy Physics - Theory}, year={2004} }

We review some aspects of logarithmic conformal field theories which might shed some light on the geometrical meaning of logarithmic operators. We consider an approach, put forward by V. Knizhnik, where computation of correlation functions on higher genus Riemann surfaces can be replaced by computations on the sphere under certain circumstances. We show that this proposal naturally leads to logarithmic conformal field theories, when the additional vertex operator insertions, which simulate the…

## 14 Citations

### Conformal Field Theory Between Supersymmetry and Indecomposable Structures

- Mathematics
- 2006

This thesis considers conformal field theory in its supersymmetric extension as well as in its relaxation to logarithmic conformal field theory. Compactification of superstring theory on…

### Logarithmic torus amplitudes

- Mathematics
- 2006

AbstractFor the example of the logarithmic triplet theory at c = −2 the chiral vacuumtorus amplitudes are analysed. It is found that the space of these torus amplitudes isspanned by the characters of…

### Two intervals Rényi entanglement entropy of compact free boson on torus

- Mathematics
- 2016

A bstractWe compute the N = 2 Rényi entanglement entropy of two intervals at equal time in a circle, for the theory of a 2D compact complex free scalar at finite temperature. This is carried out by…

### Quantum-gravity induced Lorentz violation and dynamical mass generation

- Physics
- 2011

In the eprint by Jean Alexandre [arXiv:1009.5834], a minimal extension of (3+1)-dimensional quantum electrodynamics has been proposed, which includes Lorentz violation (LV) in the form of…

### Decoherence and CPT Violation in a Stringy Model of Space-Time Foam

- Physics
- 2010

I discuss a model inspired from the string/brane framework, in which our Universe is represented (after perhaps appropriate compactification) as a three brane, propagating in a bulk space time…

### Pure gauge SU(2) Seiberg-Witten theory and modular forms

- Mathematics, Physics
- 2006

We identify the spectral curve of pure gauge SU(2) Seiberg-Witten theory with the Weierstrass curve C∕L∍z↦(1,℘(z),℘(z)′) and thereby obtain explicitely a modular form from which the moduli space…

### Indecomposable representations in Zn symmetric b, c ghost systems via deformations of the Virasoro field

- Mathematics
- 2008

### Virasoro representations and fusion for general augmented minimal models

- Mathematics, Computer Science
- 2006

This paper presents the first examples of consistent rank 3 indecomposable representations and describes their embedding structure.

### STRING QUANTUM GRAVITY, LORENTZ-INVARIANCE VIOLATION AND GAMMA-RAY ASTRONOMY

- Physics
- 2010

In the first part of the review, I discuss ways of obtaining Lorentz-Invariance-Violating (LIV) space-time foam in the modern context of string theory, involving brane world scenarios. The foamy…

## References

SHOWING 1-10 OF 131 REFERENCES

### Gravitationally Dressed Conformal Field Theory and Emergence of Logarithmic Operators

- Physics, Mathematics
- 1994

We study correlation functions in two-dimensional conformal field theory coupled to induced gravity in the light-cone gauge. Focussing on the fermion four-point function, we display an unexpected…

### Null vectors in logarithmic conformal field theory

- Mathematics
- 2000

The representation theory of the Virasoro algebra in the case of a logarithmic conformal eld theoryis considered. Here, indecomposablerepresentationshaveto be takeninto account,which has many…

### Chiral operator product algebra hidden in certain fractional quantum Hall wave functions

- Physics, Mathematics
- 1993

### Curiosities at c=-2

- Mathematics
- 1995

Conformal field theory at $c=-2$ provides the simplest example of a theory with ``logarithmic'' operators. We examine in detail the $(\xi,\eta)$ ghost system and Coulomb gas construction at $c=-2$…

### On Reducible but Indecomposable Representations of the Virasoro Algebra

- Mathematics
- 1996

Motivated by the necessity to include so-called logarithmic operators in conformal field theories (Gurarie, 1993) at values of the central charge belonging to the logarithmic series…

### Nucl

- Phys. B 241, 333
- 1984

### Int

- J. Mod. Phys. A 11, 4147 (1996) [hep-th/9509166]; Int. J. Mod. Phys. A 12, 1943
- 1997