Compact Expressions for the Non-Compact Symmetry Algebra of the su(1, 1|2) Sector

Su(n) Antiferromagnets and the Phase Structure of Qed in the Strong Coupling Limit

We examine the strong coupling limit of both compact and non-compact quantum electrodynamics (QED) on a lattice with staggered Fermions. We show that every SU(NL) quantum antiferromagnet with spins in a particular fundamental representation of the SU(NL) Lie algebra and with nearest neighbor couplings on a bipartite lattice is exactly equivalent to the infinite coupling limit of lattice QED wit...

Compact Endomorphisms of Certain Subalgebras of the Disk Algebra

On Character Space of the Algebra of BSE-functions

Suppose that $A$ is a semi-simple and commutative Banach algebra. In this paper we try to characterize the character space of the Banach algebra $C_{rm{BSE}}(Delta(A))$ consisting of all  BSE-functions on $Delta(A)$ where $Delta(A)$ denotes the character space of $A$. Indeed, in the case that $A=C_0(X)$ where $X$ is a non-empty locally compact Hausdroff space, we give a complete characterizatio...

Reiter’s Properties for the Actions of Locally Compact Quantum Goups on von Neumann Algebras

Spontaneous Symmetry Breaking of a Hyperbolic Sigma Model in Three Dimensions

— Non-linear sigma models that arise from the supersymmetric approach to disordered electron systems contain a non-compact bosonic sector. We study the model with target space H2, the two-hyperboloid with isometry group SU(1,1), and prove that in three dimensions moments of the fields are finite in the thermodynamic limit. Thus the non-compact symmetry SU(1,1) is spontaneously broken. The bound...