scholarly journals Fermions on the worldsheet of effective strings via coset construction

2016 ◽  
Vol 93 (10) ◽  
Author(s):  
Ali Mohsen
Keyword(s):  
Coset Construction

scholarly journals SUPERCONFORMAL 2D MINIMAL MODELS AND AN UNUSUAL COSET CONSTRUCTION

1993 ◽  
Vol 08 (09) ◽  
pp. 851-859 ◽  
Author(s):  
M. YU. LASHKEVICH
Keyword(s):  
Correlation Functions ◽  
Minimal Models ◽  
Coset Construction ◽  
Point Correlation

We consider a coset construction of minimal models. We define it rigorously and prove that it gives superconformal minimal models. This construction allows us to build all primary fields of superconformal models and to calculate their tree-point correlation functions.

QUANTUM HAMILTONIAN REDUCTION AND WB ALGEBRA

1992 ◽  
Vol 07 (20) ◽  
pp. 4885-4898 ◽  
Author(s):  
KATSUSHI ITO
Keyword(s):  
Lie Algebras ◽  
Free Field ◽  
Lie Superalgebra ◽  
Lie Superalgebras ◽  
Hamiltonian Reduction ◽  
Affine Lie Algebras ◽  
Quantum Hamiltonian Reduction ◽  
Free Field Realization ◽  
Coset Construction ◽  
Quantum Hamiltonian

We study the quantum Hamiltonian reduction of affine Lie algebras and the free field realization of the associated W algebra. For the nonsimply laced case this reduction does not agree with the usual coset construction of the W minimal model. In particular, we find that the coset model [Formula: see text] can be obtained through the quantum Hamiltonian reduction of the affine Lie superalgebra B(0, n)(1). To show this we also construct the Feigin-Fuchs representation of affine Lie superalgebras.

scholarly journals Field identification fixed points in the coset construction

1990 ◽  
Vol 334 (1) ◽  
pp. 67-102 ◽  
Author(s):  
A.N. Schellekens ◽  
S. Yankielowicz
Keyword(s):  
Fixed Points ◽  
Coset Construction ◽  
Field Identification

scholarly journals Coset construction of Virasoro minimal models and coupling of Wess–Zumino–Witten theory with Schramm–Loewner evolution

2019 ◽  
Vol 31 (10) ◽  
pp. 1950037
Author(s):  
Shinji Koshida
Keyword(s):  
Field Theories ◽  
Conformal Field Theories ◽  
Minimal Models ◽  
Conformal Field ◽  
Loewner Evolution ◽  
Witten Theory ◽  
Coset Construction ◽  
New Perspective ◽  
Group Symmetries ◽  
Math Phys

Schramm–Loewner evolution (SLE) is a random process that gives a useful description of fractal curves. After its introduction, many works concerning the connection between SLE and conformal field theory (CFT) have been carried out. In this paper, we develop a new method of coupling SLE with a Wess–Zumino–Witten (WZW) model for [Formula: see text], an example of CFT, relying on a coset construction of Virasoro minimal models. Generalizations of SLE that correspond to WZW models were proposed by previous works [E. Bettelheim et al., Stochastic Loewner evolution for conformal field theories with Lie group symmetries, Phys. Rev. Lett. 95 (2005) 251601] and [Alekseev et al., On SLE martingales in boundary WZW models, Lett. Math. Phys. 97 (2011) 243–261], in which the parameters in the generalized SLE for [Formula: see text] were related to the level of the corresponding [Formula: see text]-WZW model. The present work unveils the mechanism of how the parameters were chosen, and gives a simpler proof of the result in these previous works, shedding light on a new perspective of SLE/WZW coupling.

scholarly journals Coset Construction for Subspace Codes

2017 ◽  
Vol 63 (12) ◽  
pp. 7651-7660 ◽  
Author(s):  
Daniel Heinlein ◽  
Sascha Kurz
Keyword(s):  
Subspace Codes ◽  
Coset Construction

Higher-genus characters for the level-two SU(2) WZW model and GKO coset construction

1990 ◽  
Vol 41 (6) ◽  
pp. 1908-1913 ◽  
Author(s):  
Jae Hoon Choi ◽  
Jae Kwan Kim
Keyword(s):  
Coset Construction ◽  
Higher Genus

COSET CONSTRUCTION SU(2)k × SU(2)l/SU(2)k+l AND MINIMAL-LIKE THEORIES

1993 ◽  
Vol 08 (13) ◽  
pp. 1243-1258
Author(s):  
M. YU. LASHKEVICH
Keyword(s):  
Conformal Blocks ◽  
Coset Construction

The equivalence of SU (2)k × SU (2)l/ SU (2)k+l coset constructions and some bosonic theories are proved. The connection between conformal blocks of coset construction and of SU (2)N theories has been found. Currents in coset construction are discussed.

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