6 papers
The Space of Local Fields as a Module over the Ring of Local Integrals of Motion
Atsushi Nakayashiki
The chiral space of local fields in Sine-Gordon or the SU(2)-invariant Thirring model is studied as a module over the commutative algebra D of local integrals of motion. Using the…
On Form Factors of SU(2) Invariant Thirring Model
Atsushi Nakayashiki, Yoshihiro Takeyama
Integral formulae for form factors of a large family of charged local operators in SU(2) invariant Thirring model are given extending Smirnov's construction of form factors of char…
Euler characteristics of theta divisors of Jacobians for spectral curves
A. Nakayashiki, F. Smirnov
We show how to calculate the Euler characteristic of an affine Jacobi variety of a spectral curve from its defining equations.
On the Cohomology of Theta Divisors of Hyperelliptic Jacobians
Atsushi Nakayashiki
We prove that k-th singular cohomology group of the complement of the theta divisor in a hyperelliptic Jacobian is isomorphic to the k-th fundamental representation of the symplect…
Integral and Theta Formulae for Solutions of Sl_N Knizhnik-Zamolodchikov Equations at Level Zero
Atsushi Nakayashiki
The solutions of the sl_N Knizhnik-Zamolodchikov(KZ) equations at level 0 are studied. We present the integral formula which is obtained as a quasi-classical limit of the integral…
On solutions of the KZ and qKZ equations at level zero
A. Nakayashiki, S. Pakuliak, V. Tarasov
We discuss relations between different formulae for solutions of the Knizhnik-Zamolodchikov differential and the quantum Knizhnik-Zamolodchikov difference equations at level 0 and…