13 papers
Supersymmetric Analogs of the Gordon-Andrews Identities, and Related TBA Systems
Ezer Melzer
The Gordon-Andrews identities, which generalize the Rogers-Ramanujan-Schur identities, provide product and fermionic forms for the characters of the minimal conformal field theorie…
On the Scaling Limit of the 1D Hubbard Model at Half Filling
Ezer Melzer
The dispersion relations and S-matrix of the one-dimensional Hubbard model at half filling are considered in a certain scaling limit. (In the process we derive a useful small-coupl…
The Many Faces of a Character
Ezer Melzer
We prove an identity between three infinite families of polynomials which are defined in terms of `bosonic', `fermionic', and `one-dimensional configuration' sums. In the limit whe…
Massive-Conformal Dictionary
Ezer Melzer
The finite-volume spectrum of an integrable massive perturbation of a rational conformal field theory interpolates between massive multi-particle states in infinite volume (IR limi…
Fermionic Character Sums and the Corner Transfer Matrix
Ezer Melzer
We present a ``natural finitization'' of the fermionic q-series (certain generalizations of the Rogers-Ramanujan sums) which were recently conjectured to be equal to Virasoro chara…
The sums of Rogers, Schur and Ramanujan and the Bose-Fermi correspondence in -dimensional quantum field theory
Rinat Kedem, Barry M. McCoy, Ezer Melzer
We discuss the relation of the two types of sums in the Rogers-Schur-Ramanujan identities with the Bose-Fermi correspondence of massless quantum field theory in dimensions. O…