ŝl(2)−1/2: A CASE STUDY

نویسنده

  • DAVID RIDOUT
چکیده

The construction of the non-logarithmic conformal field theory based on ŝl(2)−1/2 is revisited. Without resorting to free-field methods, the determination of the spectrum and fusion rules is streamlined and the βγ ghost system is carefully derived as the extended algebra generated by the unique finite-order simple current. A brief discussion of modular invariance is given and the Verlinde formula is explicitly verified.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ŝl(2)−1/2 AND THE TRIPLET MODEL

Conformal field theories with ŝl(2)−1/2 symmetry are studied with a view to investigating logarithmic structures. Applying the parafermionic coset construction to the non-logarithmic theory, a part of the structure of the triplet model is uncovered. In particular, the coset theory is shown to admit the triplet W -algebra as a chiral algebra. This motivates the introduction of an augmented ŝl(2)...

متن کامل

FUSION IN FRACTIONAL LEVEL ŝl(2)-THEORIES WITH k =−

The fusion rules of conformal field theories admitting an ŝl(2)-symmetry at level k = − 1 2 are studied. It is shown that the fusion closes on the set of irreducible highest weight modules and their images under spectral flow, but not when “highest weight” is replaced with “relaxed highest weight”. The fusion of the relaxed modules, necessary for a well-defined û(1)-coset, gives two families of...

متن کامل

PRINCIPALLY SPECIALIZED CHARACTERS OF ŝl(m|1)-MODULES

In this paper, we calculate a series of principally specialized characters of the ŝl(m|1)-modules of level 1. In particular, we show that the principally specialized characters of the basic modules L(Λ0) is expressed as an infinite product. In addition, we deduce the specialized character formula of “quasiparticle” type. 0. INTRODUCTION Character formulas of basic representation of ŝl(m|n) are ...

متن کامل

Integrable and Conformal Boundary Conditions for ŝl(2) A–D–E Lattice Models and Unitary Minimal Conformal Field Theories

Integrable boundary conditions are studied for critical A–D–E and general graph-based lattice models of statistical mechanics. In particular, using techniques associated with the Temperley-Lieb algebra and fusion, a set of boundary Boltzmann weights which satisfies the boundary Yang-Baxter equation is obtained for each boundary condition. When appropriately specialized, these boundary weights, ...

متن کامل

Angiopoietin-2 and Angiopoietin-2/Angiopoietin-1 Ratio as Indicators of Potential Severity of Plasmodium vivax Malaria in Patients with Thrombocytopenia

INTRODUCTION Angiogenic factors such as angiopoietin 1 (Ang-1) and angiopoietin 2 (Ang-2) are biomarkers produced during activation and dysfunction of the vascular endothelium in several infectious diseases. The aim of this study was to determine the serum levels of Ang-1 and Ang-2 and to establish their relationship with the main indicators of worst-case prognosis in patients with P. vivax mal...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015