"Z k parafermion theory"의 두 판 사이의 차이
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| 5번째 줄: | 5번째 줄: | ||
* the highest-weight modules are parametrized by an integer (Dynkin label) l with <math>0\leq l < k</math> | * the highest-weight modules are parametrized by an integer (Dynkin label) l with <math>0\leq l < k</math> | ||
* <math>\mathbb{Z}_k</math> parafermion theory is known to be equivalent to the coset <math>\hat{\text{su}}(2)_k/\hat{u}(1)</math> | * <math>\mathbb{Z}_k</math> parafermion theory is known to be equivalent to the coset <math>\hat{\text{su}}(2)_k/\hat{u}(1)</math> | ||
| − | * Kac and Petersen obtained expression for the | + | * Kac and Petersen obtained expression for the parafermion characters |
| + | * Lepowsky-Primc expression in fermionic form | ||
| + | * third expression | ||
| 66번째 줄: | 68번째 줄: | ||
* Keegan, Sinéad, and Werner Nahm. 2011. “Nahm’s conjecture and coset models.” <em>1103.4986</em> (March 25). http://arxiv.org/abs/1103.4986 | * Keegan, Sinéad, and Werner Nahm. 2011. “Nahm’s conjecture and coset models.” <em>1103.4986</em> (March 25). http://arxiv.org/abs/1103.4986 | ||
| − | * | + | * Fortin, J. -F, P. Mathieu와/과S. O Warnaar. 2006. “Characters of graded parafermion conformal field theory”. <em>hep-th/0602248</em> (2월 23). [http://arxiv.org/abs/hep-th/0602248 ]http://arxiv.org/abs/hep-th/0602248 |
| + | * [http://arxiv.org/abs/math/9906092 Conjugate Bailey pairs. From configuration sums and fractional-level string functions to Bailey's lemma.],Anne Schilling, S. Ole Warnaar, 1999 | ||
* [http://dx.doi.org/10.1007/BFb0105250 Spinons and parafermions in fermion cosets]<br> | * [http://dx.doi.org/10.1007/BFb0105250 Spinons and parafermions in fermion cosets]<br> | ||
** D. C. Cabra, Lecture Notes in Physics, 1998, Volume 509/1998, 220-229<br> | ** D. C. Cabra, Lecture Notes in Physics, 1998, Volume 509/1998, 220-229<br> | ||
2011년 6월 23일 (목) 06:54 판
introduction
- parafermionic Hilbert space
- defined by the algebra of parafermionic fields \(\psi_1\) and \(\psi _1^{\dagger }\) of dimension 1-1/k and central charge 2(k-1)/(k+2)
- the highest-weight modules are parametrized by an integer (Dynkin label) l with \(0\leq l < k\)
- \(\mathbb{Z}_k\) parafermion theory is known to be equivalent to the coset \(\hat{\text{su}}(2)_k/\hat{u}(1)\)
- Kac and Petersen obtained expression for the parafermion characters
- Lepowsky-Primc expression in fermionic form
- third expression
history
encyclopedia
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expositions
articles
- Keegan, Sinéad, and Werner Nahm. 2011. “Nahm’s conjecture and coset models.” 1103.4986 (March 25). http://arxiv.org/abs/1103.4986
- Fortin, J. -F, P. Mathieu와/과S. O Warnaar. 2006. “Characters of graded parafermion conformal field theory”. hep-th/0602248 (2월 23). [1]http://arxiv.org/abs/hep-th/0602248
- Conjugate Bailey pairs. From configuration sums and fractional-level string functions to Bailey's lemma.,Anne Schilling, S. Ole Warnaar, 1999
- Spinons and parafermions in fermion cosets
- D. C. Cabra, Lecture Notes in Physics, 1998, Volume 509/1998, 220-229
- D. C. Cabra, Lecture Notes in Physics, 1998, Volume 509/1998, 220-229
- Modular invariant partition functions for parafermionic field theories
- D. Gepner and Z. Qiu (1987), Nucl. Phys. B 285, 423.
- Infinite-dimensional Lie algebras, theta functions and modular forms.,Kac, V.G., Peterson, D.H., Adv. Math.53, 125 (1984)
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