Geometric properties of W-algebras and the Toda model
Abbreviated Journal Title
Theor. Math. Phys.
conformal field theory; integrable systems; Toda field theory; hyperelliptic surfaces; MULTIPOINT CORRELATION-FUNCTIONS; QUANTUM-FIELD THEORY; SYMMETRY; SURFACES; Physics, Multidisciplinary; Physics, Mathematical
The W-algebra minimal models on hyperelliptic Riemann surfaces are constructed. Using a proposal by Polyakov, we reduce the partition function of the Toda field theory on the hyperelliptic surface to a product of partition functions: one of a "free field" theory on the sphere with inserted Toda vertex operators and one of a free scalar held theory with antiperiodic boundary conditions with inserted twist fields.
Theoretical and Mathematical Physics
"Geometric properties of W-algebras and the Toda model" (2004). Faculty Bibliography 2000s. 4187.