On the deformation of abelian integrals

Abstract

We consider the deformation of abelian integrals which arose from the study of SG form factors. Besides the known properties they are shown to satisfy Riemann bilinear identity. The deformation of intersection number of cycles on hyperelliptic curve is introduced.

8 pages, AMSTEX

References in corpus (2)

• Form Factors, deformed Knizhnik-Zamolodchikov equations and finite-gap integration
• Smirnov's Integrals and Quantum Knizhnik-Zamolodchikov Equation of Level $0$

Cited by in corpus (16)

• Counting the local fields in SG theory.
• Sine-Gordon breather form factors and quantum field equations
• Structure of Matrix Elements in Quantum Toda Chain
• Fermionic structure in the sine-Gordon model: form factors and null-vectors
• Dual Baxter equations and quantization of Affine Jacobian
• Counting minimal form factors of the restricted sine-Gordon model
• New formulae for solutions of quantum Knizhnik-Zamolodchikov equations on level -4
• Completeness of the Hypergeometric Solutions of the qKZ Equation at Level Zero
• The symplectic structure of the spin Calogero model
• Traces of Intertwining Operators for the Yangian Double
• Form factors and action of U_{\sqrt{-1}}(sl_2~) on infinite-cycles
• Form factors, KdV and Deformed Hyperelliptic Curves
• Form factors of the XXZ model and the affine quantum group symmetry
• Bilinear Identity for q-Hypergeometric Integrals
• Integral and Theta Formulae for Solutions of Sl_N Knizhnik-Zamolodchikov Equations at Level Zero
• Form factors of SU(N) invariant Thirring model