Integrable quantum field theories with OSP (m/2n) symmetries
نویسنده
چکیده
We conjecture the factorized scattering description for OSP (m/2n)/OSP (m− 1/2n) supersphere sigma models and OSP (m/2n) Gross Neveu models. The non unitarity of these field theories translates into a lack of ‘physical unitarity’ of the S matrices, which are instead unitary with respect to the non-positive scalar product inherited from the orthosymplectic structure. Nevertheless, we find that formal thermodynamic Bethe ansatz calculations appear meaningful, reproduce the correct central charges, and agree with perturbative calculations. This paves the way to a more thorough study of these and other models with supergroup symmetries using the S matrix approach.
منابع مشابه
Integrable quantum field theories with supergroup symmetries: the OSP(1/2) case
As a step to understand general patterns of integrability in 1 + 1 quantum field theories with supergroup symmetry, we study in details the case of OSP(1/2). Our results include the solutions of natural generalizations of models with ordinary group symmetry: the UOSP(1/2)k WZW model with a current–current perturbation, the UOSP(1/2) principal chiral model, and the UOSP(1/2)⊗UOSP(1/2)/UOSP(1/2) ...
متن کاملConformal Higher Spin Symmetries of 4 d Massless Supermultiplets and osp ( L , 2 M ) Invariant Equations in Generalized ( Super ) Space
Realization of the conformal higher spin symmetry on the 4d massless field supermultiplets is given. The self-conjugated supermultiplets, including the linearized N = 4 SYM theory, are considered in some detail. Duality between non-unitary field-theoretical representations and the unitary doubleton–type representations of the 4d conformal algebra su(2, 2) is formulated in terms of a Bogolyubov ...
متن کاملThe Algebraic Bethe Ansatz for Rational Braid-monoid Lattice Models
In this paper we study isotropic integrable systems based on the braid-monoid algebra. These systems constitute a large family of rational multistate vertex models and are realized in terms of the B n , C n and D n Lie algebra and by the superalgebra Osp(nj2m). We present a uniied formulation of the quantum inverse scattering method for many of these lattice models. The appropriate fundamental ...
متن کاملInfinite Quantum Group Symmetry in 2d Quantum Field Theory
I describe how integrable quantum field theories in 2 spacetime dimensions are characterized by infinite dimensional quantum group symmetries, namely the q-deformations of affine Lie algebras, and their Yangian limit. These symmetries can provide a new non-perturbative formulation of the theories.
متن کاملSuperspace interpretation of mass–dependent BRST symmetries in general gauge theories
A superspace formulation is proposed for the osp(1, 2)–covariant Lagrangian quantization of general massive gauge theories. Thereby, osp(1, 2) is considered as subalgebra of the superalgebra sl(1, 2) which is interpreted as conformal algebra acting on two anticommuting coordinates. The mass–dependent (anti)BRST symmetries of the quantum action in the osp(1,2) superfield formalism are realized a...
متن کامل