super conformal field theory
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Author(s):  
S. Boukaddid ◽  
R. Ahl Laamara ◽  
L. B. Drissi ◽  
E. H. Saidi ◽  
J. Zerouaoui

In this paper, we study the M-string realization of chiral [Formula: see text]-super-conformal field theory in 6 dimensions and its orbifold compactification down to three-dimensional (3D). We analyze its fractionally charged BPS particle spectrum in connection with effective 3D Chern–Simons gauge theory and the supersymmetric fractional quantum Hall effect in [Formula: see text] dimensions. We construct the set of underlying fractionally charged BPS particles in the ground state of the compactified M string and find that it contains 144 BPS states that are generated by four basic quasi-particles (two bosonic-like and two fermionic like) and their CPT conjugate. Two representations of the gauge bosons and the gauginos as condensates of the basic quasiparticles are found and explicit realizations are also given. Other features concerning generalizations are also discussed.


1999 ◽  
Vol 14 (18) ◽  
pp. 2887-2904
Author(s):  
BELAL E. BAAQUIE ◽  
KOK KEAN YIM

The method of point-splitting regularization is applied on the two-dimensional (super)conformal field theory. This method is first used to regularize the fermionic conformal field theory and then the N=1 superconformal field theory. We obtain the correct central extensions for the conformal algebra and the N=1 superconformal algebra. We arrived at these results only after some nontrivial, but exact, cancelations among all the singular terms, as required by the consistency of the point-splitting method. In the course of our analysis, we rederive Wick's Theorem directly from the commutation equations of the fundamental fields.


1992 ◽  
Vol 07 (11) ◽  
pp. 2371-2415 ◽  
Author(s):  
TOSHIYA KAWAI

A correspondence observed by Martinec, Vafa and Warner (MVW) between the singularity theory and the N = 2 super conformal field theory is reviewed by using N = 2 SUSY quantum mechanics.


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