scholarly journals Modular transformation and boundary states in logarithmic conformal field theory

2001 ◽  
Vol 508 (1-2) ◽  
pp. 203-210 ◽  
Author(s):  
Shinsuke Kawai ◽  
John F. Wheater
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Conformal Field ◽  
Logarithmic Conformal Field Theory ◽  
Modular Transformation ◽  
Boundary States

BOUNDARY STATES IN BOUNDARY LCFT: AN ALGEBRAIC APPROACH

2003 ◽  
Vol 18 (25) ◽  
pp. 4639-4654 ◽  
Author(s):  
YUKITAKA ISHIMOTO
Keyword(s):  
Field Theory ◽  
Conformal Field Theory ◽  
Cell Structure ◽  
Algebraic Approach ◽  
Open String ◽  
Closed String ◽  
Conformal Field ◽  
Logarithmic Conformal Field Theory ◽  
Boundary States ◽  
Rank 2

It is well known that LCFT generally contains Jordan cell structure and, in our previous paper, we have proposed a conjecture that one and only one boundary sate is allowed in the rank-2 cell. With these states in c=-2 rational LCFT, we can express boundary states in the closed string picture, in regard to corresponding boundary conditions in the open string picture. In this paper, We briefly review our previous paper on boundary states in LCFTs. We also add one more proof which supports the conjecture, and confirm this doesn't change our previous results. This paper is based on the talk given at School & Workshop On Logarithmic Conformal Field Theory and Its Applications held in Tehran, Iran.

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.

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