The excitation spectrum of a two-dimensional p x+ ipy fermionic superfluid, such as a thin
film of 3 He− A, includes a gapless Majorana-Weyl fermion which is confined to the …

We present an extensive survey of bijective proofs of classical partitions identities. While
most bijections are known, they are often presented in a different, sometimes …

arXiv:hep-th/9701043v3 23 Feb 1998 Page 1 arXiv:hep-th/9701043v3 23 Feb 1998 hep-th/9701043
Equivalence between Chain Categories of Representations of Affine sℓ(2) and N = 2 …

We present several conjectures on the behavior and clustering properties of Jack
polynomials at a negative parameter α=− k+ 1 r− 1, with partitions that violate the (k, r, N) …

This is the first of a series of papers studying combinatorial (with no “subtractions”) bases
and characters of standard modules for affine Lie algebras, as well as various subspaces …

We construct W-algebra generalizations of the sℓˆ (2) algebra—W algebras Wn (2)
generated by two currents E and F with the highest pole of order n in their OPE. The n= 3 …

For each pair of positive integers (k, r) such that k+ 1, r− 1 are coprime, we introduce an ideal
I n (k, r) of the ring of symmetric polynomials ℂ [x 1,…, xn] S n. The ideal I n (k, r) has a basis …

We evaluate characters of irreducible representations of the N= 2 supersymmetric extension
of the Virasoro algebra. We do so by deriving the BGG resolution of the admissible N= 2 …

Inspired by a number of recent papers by Corteel, Dousse, Foda, Uncu and Welsh on
cylindric partitions and Rogers–Ramanujan-type identities, we obtain the $\mathrm {A} _2 …

Using the theory of intertwining operators for vertex operator algebras we show that the
graded dimensions of the principal subspaces associated to the standard modules for satisfy …