메뉴 건너뛰기




Volumn 536, Issue 3, 1998, Pages 617-656

Resolutions and characters of irreducible representations of the N = 2 superconformal algebra

Author keywords

Chracters; Resolutions; Spectral flow; Super virasoro algebra; Verma module

Indexed keywords


EID: 0032576508     PISSN: 05503213     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0550-3213(98)00615-4     Document Type: Article
Times cited : (49)

References (37)
  • 3
    • 0032395819 scopus 로고    scopus 로고
    • Equivalence between chain categories of representations of affine sℓ(2) and N = 2 superconformal algebras
    • [2] B.L. Feigin, A.M. Semikhatov and I.Yu. Tipunin, Equivalence between chain categories of representations of affine sℓ(2) and N = 2 superconformal algebras, J. Math. Phys. 39 (1998) 3865.
    • (1998) J. Math. Phys. , vol.39 , pp. 3865
    • Feigin, B.L.1    Semikhatov, A.M.2    Tipunin, I.Yu.3
  • 4
    • 0000657471 scopus 로고
    • Modular invariant representations of infinite-dimensional Lie algebras and superalgebras
    • [3] V.G. Kač and M. Wakimoto, Modular invariant representations of infinite-dimensional Lie algebras and superalgebras, Proc. of the National Academy of Sciences USA 85 (1988) 4956.
    • (1988) Proc. of the National Academy of Sciences USA , vol.85 , pp. 4956
    • Kač, V.G.1    Wakimoto, M.2
  • 5
    • 0002426367 scopus 로고
    • Characters of unitarizable highest weight modules over the N = 2 superconformal algebra
    • [4] V.K. Dobrev, Characters of unitarizable highest weight modules over the N = 2 superconformal algebra, Phys. Lett. B 186 (1987) 43.
    • (1987) Phys. Lett. B , vol.186 , pp. 43
    • Dobrev, V.K.1
  • 6
    • 0001499153 scopus 로고
    • Character formula of C < 1 unitary representation of N = 2 superconformal algebra
    • [5] Y. Matsuo, Character formula of C < 1 unitary representation of N = 2 superconformal algebra, Prog. Theor. Phys. 77 (1987) 793.
    • (1987) Prog. Theor. Phys. , vol.77 , pp. 793
    • Matsuo, Y.1
  • 7
    • 0000783387 scopus 로고
    • Modular invariance in N = 2 superconformal theories
    • [6] F. Ravanini and S.-K. Yang, Modular invariance in N = 2 superconformal theories, Phys. Lett. B 195 (1987) 202.
    • (1987) Phys. Lett. B , vol.195 , pp. 202
    • Ravanini, F.1    Yang, S.-K.2
  • 8
    • 0001249298 scopus 로고
    • Character formulae and the structure of the representations of the N = 1, N = 2 superconformal algebras
    • [7] E.B. Kiritsis, Character formulae and the structure of the representations of the N = 1, N = 2 superconformal algebras, Int. J. Mod. Phys. A 3 (1988) 1871.
    • (1988) Int. J. Mod. Phys. A , vol.3 , pp. 1871
    • Kiritsis, E.B.1
  • 10
    • 0039333718 scopus 로고    scopus 로고
    • Analytic expressions for singular vectors of the N = 2 superconformal algebra
    • [9] M. Dörrzapf, Analytic expressions for singular vectors of the N = 2 superconformal algebra, Commun. Math. Phys. 180 (1996) 195.
    • (1996) Commun. Math. Phys. , vol.180 , pp. 195
    • Dörrzapf, M.1
  • 11
    • 0009033948 scopus 로고    scopus 로고
    • The structure of Verma modules over the N = 2 superconformal algebra
    • [10] A.M. Semikhatov and I.Yu. Tipunin, The structure of Verma modules over the N = 2 superconformal algebra, Commun. Math. Phys. 195 (1998) 129.
    • (1998) Commun. Math. Phys. , vol.195 , pp. 129
    • Semikhatov, A.M.1    Tipunin, I.Yu.2
  • 13
    • 84967708613 scopus 로고
    • Highest weight modules over graded Lie algebras: Resolutions, filtrations, and character formulas
    • [12] A. Rocha-Caridi and N.R. Wallach, Highest weight modules over graded Lie algebras: Resolutions, filtrations, and character formulas, Trans. Amer. Math. Soc. 277 (1983) 133.
    • (1983) Trans. Amer. Math. Soc. , vol.277 , pp. 133
    • Rocha-Caridi, A.1    Wallach, N.R.2
  • 14
    • 0009981774 scopus 로고
    • Verma modules over rank-2 Kač-Moody algebras
    • [13] F. Malikov, Verma modules over rank-2 Kač-Moody algebras, Algebra i Analiz 2 No. 2 (1990) 65.
    • (1990) Algebra i Analiz , vol.2 , Issue.2 , pp. 65
    • Malikov, F.1
  • 19
    • 45949121887 scopus 로고
    • Comments on the N = 2, N = 3, N = 4 superconformal algebras in two dimensions
    • [18] A. Schwimmer and N. Seiberg, Comments on the N = 2, N = 3, N = 4 superconformal algebras in two dimensions, Phys. Lett. B 184 (1987) 191.
    • (1987) Phys. Lett. B , vol.184 , pp. 191
    • Schwimmer, A.1    Seiberg, N.2
  • 21
    • 0001238275 scopus 로고
    • Explicit construction of unitary representations of the N = 2 superconformal algebra
    • [20] P. Di Vecchia, J.L. Petersen, M. Yu and H.B. Zheng, Explicit construction of unitary representations of the N = 2 superconformal algebra, Phys. Lett. B 174 (1986) 280.
    • (1986) Phys. Lett. B , vol.174 , pp. 280
    • Di Vecchia, P.1    Petersen, J.L.2    Yu, M.3    Zheng, H.B.4
  • 22
    • 33646045703 scopus 로고
    • New N = 2 superconformal field theories and superstring compactification
    • [21] Y. Kazama and H. Suzuki, New N = 2 superconformal field theories and superstring compactification, Nucl. Phys. B 321 (1989) 232.
    • (1989) Nucl. Phys. B , vol.321 , pp. 232
    • Kazama, Y.1    Suzuki, H.2
  • 23
    • 33646049827 scopus 로고
    • Chiral rings in N = 2 superconformal theories
    • [22] W. Lerche, C. Vafa and N.P. Warner, Chiral rings in N = 2 superconformal theories, Nucl. Phys. B 324 (1989) 427.
    • (1989) Nucl. Phys. B , vol.324 , pp. 427
    • Lerche, W.1    Vafa, C.2    Warner, N.P.3
  • 24
    • 0001567939 scopus 로고
    • Determinant formulae and unitarity for the N = 2 superconformal algebras in two dimensions or exact results on string compactification
    • [23] W. Boucher, D. Friedan and A. Kent, Determinant formulae and unitarity for the N = 2 superconformal algebras in two dimensions or exact results on string compactification, Phys. Lett. B 172 (1986) 316.
    • (1986) Phys. Lett. B , vol.172 , pp. 316
    • Boucher, W.1    Friedan, D.2    Kent, A.3
  • 27
    • 0009981777 scopus 로고
    • Functional models of representations of current algebras and semi-infinite Schubert cells
    • [26] B.L. Feigin and A.V. Stoianovsky, Functional models of representations of current algebras and semi-infinite Schubert cells, Funk. An. i ego Prilozh. 28 (1994) 68.
    • (1994) Funk. An. i Ego Prilozh. , vol.28 , pp. 68
    • Feigin, B.L.1    Stoianovsky, A.V.2
  • 28
    • 0001574768 scopus 로고    scopus 로고
    • Representation theory of the affine Lie superalgebra sl(2|1) at fractional level
    • [27] P. Bowcock and A. Taormina, Representation theory of the affine Lie superalgebra sl(2|1) at fractional level, Commun. Math. Phys. 185 (1997) 467.
    • (1997) Commun. Math. Phys. , vol.185 , pp. 467
    • Bowcock, P.1    Taormina, A.2
  • 30
    • 0031475870 scopus 로고    scopus 로고
    • Unitarity of rational N = 2 superconformal theories
    • [29] W. Eholzer and M.R. Gaberdiel, Unitarity of rational N = 2 superconformal theories, Commun. Math. Phys. 186 (1997) 61.
    • (1997) Commun. Math. Phys. , vol.186 , pp. 61
    • Eholzer, W.1    Gaberdiel, M.R.2
  • 31
    • 0001292339 scopus 로고
    • Hidden fermionic symmetry in conformal topological field theories
    • [30] T. Eguchi, S. Hosono and S.-K. Yang, Hidden fermionic symmetry in conformal topological field theories, Commun. Math. Phys. 140 (1991) 159.
    • (1991) Commun. Math. Phys. , vol.140 , pp. 159
    • Eguchi, T.1    Hosono, S.2    Yang, S.-K.3
  • 33
    • 0010020586 scopus 로고
    • Coset construction and character sum rules for the doubly extended N = 4 superconformal algebras
    • [32] J.L. Petersen and A. Taormina, Coset construction and character sum rules for the doubly extended N = 4 superconformal algebras, Nucl. Phys. B 398 (1993) 459.
    • (1993) Nucl. Phys. B , vol.398 , pp. 459
    • Petersen, J.L.1    Taormina, A.2
  • 34
    • 0030604975 scopus 로고    scopus 로고
    • The non-critical N = 2 string is an sℓ(2|1) theory
    • [33] A.M. Semikhatov, The non-critical N = 2 string is an sℓ(2|1) theory, Nucl. Phys. B 478 (1996) 209.
    • (1996) Nucl. Phys. B , vol.478 , pp. 209
    • Semikhatov, A.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.