Generalizations of the Andrews-Bressoud identities for the N = 1 superconformal model SM(2, 4ν)

We present generalized Rogers-Ramanujan identities which relate the Fermi and Bose forms of all the characters of the superconformal model SM(2, 4@n). In particular, we show that to each bosonic form of the character there is an infinite family of distinct fermionic q-series representations.

[1]  M. Suzuki,et al.  One-Dimensional Anisotropic Heisenberg Model at Finite Temperatures , 1972 .

[2]  A. Schilling.  Multinomials and polynomial bosonic forms for the branching functions of the su(2)M x su(2)N/su(2)M+N conformal coset models , 1995, hep-th/9510168.

[3]  C. Vafa,et al.  Ising model andN=2 supersymmetric theories , 1993 .

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

[5]  Basil Gordon.  Some continued fractions of the Rogers-Ramanujan type , 1965 .

[6]  C. Vafa,et al.  A New supersymmetric index , 1992, hep-th/9204102.

[7]  D. Bressoud.  AN ANALYTIC GENERALIZATION OF THE ROGERS-RAMANUJAN IDENTITIES WITH INTERPRETATION , 1980 .

[8]  B. M. Fulk.  MATH , 1992 .

[9]  G. Meinardus,et al.  Über Partitionen mit Differenzenbedingungen , 1954 .

[10]  Anatol N. Kirillov.  Dilogarithm identities , 1994 .

[11]  Fermionic counting of RSOS states and Virasoro character formulas for the unitary minimal series M(v,v + 1): Exact results , 1994, hep-th/9403073.

[12]  A. Meurman,et al.  Highest weight representations of the Neveu-Schwarz and Ramond algebras , 1986 .

[13]  William P. Orrick,et al.  Polynomial identities, indices, and duality for theN=1 superconformal modelSM(2, 4v) , 1995, hep-th/9507072.

[14]  D. B. Fuks,et al.  Invariant skew-symmetric differential operators on the line and Verma modules over the Virasoro algebra , 1982 .

[15]  Peter J. Forrester,et al.  Further exact solutions of the eight-vertex SOS model and generalizations of the Rogers-Ramanujan identities , 1985 .

[16]  Lucy Joan Slater,et al.  Further Identities of the Rogers‐Ramanujan Type , 1952 .

[17]  George E. Andrews,et al.  Lattice gas generalization of the hard hexagon model. III.q-Trinomial coefficients , 1987 .

[18]  George E. Andrews,et al.  Problems and Prospects for Basic Hypergeometric Functions , 1975 .

[19]  Adrian Kent,et al.  Unitary representations of the Virasoro and super-Virasoro algebras , 1986 .

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

[21]  Virasoro character identities from the Andrews-Bailey construction , 1994, hep-th/9408086.

[22]  David M. Bressoud,et al.  Lattice Path and the Rogers-Ramanujan Identities , 1987 .

[23]  Fermionic solution of the Andrews-Baxter-Forrester model. II. Proof of Melzer's polynomial identities , 1995, hep-th/9508079.

[24]  M. Wodzicki.  Lecture Notes in Math , 1984 .