论文信息 - A Trinomial Analogue of Bailey's Lemma and N = 2 Superconformal Invariance

A Trinomial Analogue of Bailey's Lemma and N = 2 Superconformal Invariance

Abstract:We propose and prove a trinomial version of the celebrated Bailey's lemma. As an application we obtain new fermionic representations for characters of some unitary as well as nonunitary models of N= 2 superconformal field theory (SCFT). We also establish interesting relations between N= 1 and N= 2 models of SCFT with central charges and . A number of new mock theta function identities are derived. Dedicated to Dora Bitman on her 70th birthday

G. E. Andrews | A. Berkovich | G. Andrews | A. Berkovich

[1] S. Warnaar,et al. The Andrews–Gordon Identities and q-Multinomial Coefficients , 1996, q-alg/9601012.

[2] B. McCoy,et al. Bailey flows and Bose-Fermi identities for the conformal coset models. . , 1997, hep-th/9702026.

[3] Alexander Berkovich,et al. Generalizations of the Andrews-Bressoud identities for the N = 1 superconformal model SM(2, 4ν) , 1995 .

[4] Supersymmetric Analogs of the Gordon-Andrews Identities, and Related TBA Systems , 1994, hep-th/9412154.

[5] Unitarity of rationalN = 2 superconformal theories , 1996, hep-th/9601163.

[6] Central charge and the Andrews–Bailey construction , 1996, hep-th/9607168.

[7] B. McCoy,et al. Bailey flows and Bose Fermi identities for the conformed coset models (A_1^(1))_N x (A_1^(1))_N' / (A_1^(1))_N+N' , 1997 .

[8] Emil Grosswald,et al. The Theory of Partitions , 1984 .

[9] A. Schilling,et al. A Higher Level Bailey Lemma: Proof and Application , 1996, q-alg/9607014.

[10] S. Ole Warnaar. A Note on the Trinomial Analogue of Bailey's Lemma , 1998, J. Comb. Theory, Ser. A.

[11] Anne Schilling,et al. Supernomial Coefficients, Polynomial Identities and q-Series , 1997 .

[12] Anne Schilling,et al. Rogers–Schur–Ramanujan Type Identities for the M(p,p′) Minimal Models of Conformal Field Theory , 1998 .

[13] George E. Andrews,et al. q-series : their development and application in analysis, number theory, combinatorics, physics, and computer algebra , 1986 .