2,611 research outputs found
Integrability of Superconformal Field Theory and SUSY N=1 KdV
The quantum SUSY N=1 hierarchy based on twisted affine
superalgebra is considered. The construction of the corresponding Baxter's
Q-operators and fusion relations is outlined. The relation with the
superconformal field theory is discussed.Comment: LaTeX2e, cargese.cls, 4 pages, Subm. to String Theory: from Gauge
Interactions to Cosmology, NATO Advanced Study Institute, Proc. of Cargese
Summer School, NATO Science series C, 200
Superconformal Field Theory and SUSY N=1 KdV Hierarchy II: The Q-operator
The algebraic structures related with integrable structure of superconformal
field theory (SCFT) are introduced. The SCFT counterparts of Baxter's
Q-operator are constructed. The fusion-like relations for the transfer-matrices
in different representations and their truncations are obtained.Comment: LaTeX2e, elsart.cls, 17 pages, Nuclear Physics B, 2005, in pres
Quantum Supersymmetric Toda-mKdV Hierarchies
In this paper we generalize the quantization procedure of Toda-mKdV
hierarchies to the case of arbitrary affine (super)algebras. The quantum
analogue of the monodromy matrix, related to the universal R-matrix with the
lower Borel subalgebra represented by the corresponding vertex operators is
introduced. The auxiliary L-operators satisfying RTT-relation are constructed
and the quantum integrability condition is obtained. General approach is
illustrated by means of two important examples.Comment: LaTeX2e, elsart.cls, 21 pages, Nuclear Physics B, 2005, in pres
Integrable Structure of Superconformal Field Theory and Quantum super-KdV Theory
The integrable structure of the two dimensional superconformal field theory
is considered. The classical counterpart of our constructions is based on the
super-KdV hierarchy. The quantum version of the monodromy
matrix associated with the linear problem for the corresponding L-operator is
introduced. Using the explicit form of the irreducible representations of
, the so-called "fusion relations" for the transfer matrices
considered in different representations of are obtained. The
possible integrable perturbations of the model (primary operators, commuting
with integrals of motion) are classified and the relation with the
supersymmetric Toda field theory is discussed.Comment: LaTeX2e, elsart.cls, 11 pages, subm. to Physics Letters
Superconformal Field Theory and SUSY N=1 KdV Hierarchy I: Vertex Operators and Yang-Baxter Equation
The supersymmetry invariant integrable structure of two-dimensional
superconformal field theory is considered. The classical limit of the
corresponding infinite family of integrals of motion (IM) coincide with the
family of IM of SUSY N=1 KdV hierarchy. The quantum version of the monodromy
matrix, generating quantum IM, associated with the SUSY N=1 KdV is constructed
via vertex operator representation of the quantum R-matrix. The possible
applications to the perturbed superconformal models are discussed.Comment: LaTeX2e, elsart.cls, 11 pages, subm. to Physics Letters
On integrable Hamiltonians for higher spin XXZ chain
Integrable Hamiltonians for higher spin periodic XXZ chains are constructed
in terms of the spin generators; explicit examples for spins up to 3/2 are
given. Relations between Hamiltonians for some U_q(sl_2)-symmetric and
U(1)-symmetric universal r-matrices are studied; their properties are
investigated. A certain modification of the higher spin periodic chain
Hamiltonian is shown to be an integrable U_q(sl_2)-symmetric Hamiltonian for an
open chain.Comment: 20 pages, Latex; Section 8 has been modifie
- …