Generalizations of the Andrews-Bressoud Identities for the N=1N=1 Superconformal Model SM(2,4ν)SM(2,4\nu)

We present generalized Rogers-Ramanujan identities which relate the fermi and bose forms of all the characters of the superconformal model $SM(2,4\nu).$ In particular we show that to each bosonic form of the character there is an infinite family of distinct fermionic $q-$ series representations.Comment: 17 pages in harvmac, no figures, submitted as part of the proceedings of ``Physique et Combinatiore'' held at CIRM Luminy March 27-31, 199

Rogers-Schur-Ramanujan type identities for the M(p,p′)M(p,p') minimal models of conformal field theory

We present and prove Rogers-Schur-Ramanujan (Bose/Fermi) type identities for the Virasoro characters of the minimal model $M(p,p').$ The proof uses the continued fraction decomposition of $p'/p$ introduced by Takahashi and Suzuki for the study of the Bethe's Ansatz equations of the XXZ model and gives a general method to construct polynomial generalizations of the fermionic form of the characters which satisfy the same recursion relations as the bosonic polynomials of Forrester and Baxter. We use this method to get fermionic representations of the characters $\chi_{r,s}^{(p,p')}$ for many classes of $r$ and $s.$Comment: 85 pages in harvmac with 16 figures. Stylistic revisions particularly in section 8 and appendix B and an additional proof added in appendix

Ob River Channel Transformation Downstream of Novosibirsk Hydropower Plant (West Siberia, Russia)

Source: ICHE Conference Archive - https://mdi-de.baw.de/icheArchiv

Dinner at Eight

This creative thesis is comprised of six short stories of fiction in various styles and lengths, as well as a critical introduction wherein I discuss the various influences on my work, ranging from Charles Baxter and Karen Joy Fowler to Doležel and John Gardner. All of these stories share a theme of family and loss. Each story also grapples in some way with changing times and places. I have endeavored, by using rhyming action, repeating images, and melodrama, to give each story a great sense of emotion, a feeling both specific to the story but connects to the wider reading experience throughout the collection as well

Bailey flows and Bose-Fermi identities for the conformal coset models (A1(1))N×(A1(1))N′/(A1(1))N+N′(A^{(1)}_1)_N\times (A^{(1)}_1)_{N'}/(A^{(1)}_1)_{N+N'}

We use the recently established higher-level Bailey lemma and Bose-Fermi polynomial identities for the minimal models $M(p,p')$ to demonstrate the existence of a Bailey flow from $M(p,p')$ to the coset models $(A^{(1)}_1)_N\times (A^{(1)}_1)_{N'}/(A^{(1)}_1)_{N+N'}$ where $N$ is a positive integer and $N'$ is fractional, and to obtain Bose-Fermi identities for these models. The fermionic side of these identities is expressed in terms of the fractional-level Cartan matrix introduced in the study of $M(p,p')$. Relations between Bailey and renormalization group flow are discussed.Comment: 28 pages, AMS-Latex, two references adde

A double bounded key identity for Goellnitz's (big) partition theorem

Given integers i,j,k,L,M, we establish a new double bounded q-series identity from which the three parameter (i,j,k) key identity of Alladi-Andrews-Gordon for Goellnitz's (big) theorem follows if L, M tend to infinity. When L = M, the identity yields a strong refinement of Goellnitz's theorem with a bound on the parts given by L. This is the first time a bounded version of Goellnitz's (big) theorem has been proved. This leads to new bounded versions of Jacobi's triple product identity for theta functions and other fundamental identities.Comment: 17 pages, to appear in Proceedings of Gainesville 1999 Conference on Symbolic Computation