scholarly journals Operator algebra in logarithmic conformal field theory

2005 ◽  
Vol 72 (8) ◽  
Author(s):  
Jasbir Nagi
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Operator Algebra ◽  
Conformal Field ◽  
Logarithmic Conformal Field Theory

CONFORMAL FIELD THEORY IN TWO DIMENSIONS

2006 ◽  
Vol 21 (11) ◽  
pp. 2237-2258
Author(s):  
JASBIR NAGI
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Operator Algebra ◽  
Two Dimensions ◽  
Stochastic Loewner Evolution ◽  
Conformal Field ◽  
Logarithmic Conformal Field Theory ◽  
Loewner Evolution ◽  
Mathematical Problems ◽  
The Subject

Conformal field theory in two dimensions has, over the years, been an extremely useful tool for a variety of physical and mathematical problems. In this paper, perhaps one of the most profound and foundational aspects of the subject is reviewed in detail, namely that of an operator algebra of the theory. This aspect is then demonstrated in some modern applications, first stochastic Loewner evolution and then logarithmic conformal field theory.

scholarly journals Logarithmic conformal field theory: a lattice approach

2013 ◽  
Vol 46 (49) ◽  
pp. 494012 ◽  
Author(s):  
A M Gainutdinov ◽  
J L Jacobsen ◽  
N Read ◽  
H Saleur ◽  
R Vasseur
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Conformal Field ◽  
Logarithmic Conformal Field Theory ◽  
Lattice Approach

scholarly journals Boundary logarithmic conformal field theory

2000 ◽  
Vol 486 (3-4) ◽  
pp. 353-361 ◽  
Author(s):  
Ian I. Kogan ◽  
John F. Wheater
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Conformal Field ◽  
Logarithmic Conformal Field Theory

scholarly journals BITS AND PIECES IN LOGARITHMIC CONFORMAL FIELD THEORY

2003 ◽  
Vol 18 (25) ◽  
pp. 4497-4591 ◽  
Author(s):  
MICHAEL A. I. FLOHR
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Quantum Hall ◽  
Field Theories ◽  
Partition Functions ◽  
Conformal Field Theories ◽  
Fractional Quantum Hall ◽  
Conformal Field ◽  
Logarithmic Conformal Field Theory ◽  
Verlinde Formula

These are notes of my lectures held at the first School & Workshop on Logarithmic Conformal Field Theory and its Applications, September 2001 in Tehran, Iran. 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. The 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.

SOME LANDAU-GINZBURG MODELS FROM CONFORMAL FIELD THEORY

1990 ◽  
Vol 05 (12) ◽  
pp. 2343-2358 ◽  
Author(s):  
KEKE LI
Keyword(s):  
Field Theory ◽  
Fixed Point ◽  
Conformal Field Theory ◽  
Current Algebra ◽  
Operator Algebra ◽  
Field Theories ◽  
Conformal Field Theories ◽  
Conformal Field ◽  
Coset Models ◽  
Marginal Deformation

A method of constructing critical (fixed point) Landau-Ginzburg action from operator algebra is applied to several classes of conformal field theories, including lines of c = 1 models and the coset models based on SU(2) current algebra. For the c = 1 models, the Landau-Ginzberg potential is argued to be physically consistent, and it resembles a modality-one singularity with modal deformation representing exactly the marginal deformation. The potentials for the coset models manifestly possess correct discrete symmetries.

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