7 papers · 1 filter
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…
Virasoro Characters from Bethe Equations for the Critical Ferromagnetic Three-State Potts Model
S. Dasmahapatra, R. Kedem, B. M. McCoy +1
We obtain new fermionic sum representations for the Virasoro characters of the confromal field theory describing the ferromagnetic three-state Potts spin chain. These arise from th…
Quasi-Particles, Conformal Field Theory, and -Series
S. Dasmahapatra, R. Kedem, T. R. Klassen +2
We review recent results concerning the representation of conformal field theory characters in terms of fermionic quasi-particle excitations, and describe in detail their construct…