Algebraic Holography

A rigorous (and simple) proof is given that there is a one-to-one correspondence between causal anti-deSitter covariant quantum field theories on anti-deSitter space and causal conformally covariant quantum field theories on its conformal boundary. The correspondence is given by the explicit identification of observables localized in wedge regions in anti-deSitter space and observables localized in double-cone regions in its boundary. It takes vacuum states into vacuum states, and positive-energy representations into positive-energy representations.Comment: 16 pages, 1 figure, v3: new material added in response to referees' reports, v4: a hasty conclusion in v3 rectified + more cosmetic change

On The KMS Condition for the critical Ising model

Using the KMS condition and exchange algebras we discuss the monodromy and modular properties of two-point KMS states of the critical Ising model.Comment: 8 pages, TcilaTe

Pauli-Lubanski limit and stress-energy tensor for infinite-spin fields

String-localized quantum fields transforming in Wigner's infinite-spin representations were introduced by Mund, Schroer and Yngvason. We construct these fields as limits of fields of finite mass $m\to 0$ and finite spin $s\to\infty$. We determine a string-localized infinite-spin quantum stress-energy tensor with a novel prescription that does not refer to a classical Lagrangean.Comment: v3: 35 pages. Version as published. v2: Two substantial mistakes fixed, Sect. 2, 3, and 4 more appropriately organize

Canonical tensor product subfactors

Canonical tensor product subfactors (CTPS's) describe, among other things, the embedding of chiral observables in two-dimensional conformal quantum field theories. A new class of CTPS's is constructed some of which are associated with certain modular invariants, thereby establishing the expected existence of the corresponding two-dimensional theories.Comment: 14 pages; references added and minor improvement

Local Quantum Observables in the Anti-deSitter - Conformal QFT Correspondence

Quantum field theory on d+1-dimensional anti-deSitter space-time admits a re-interpretation as a quantum field theory with conformal symmetry on d-dimensional Minkowski space-time. This conjecture originally emerged from string theory considerations. Here, it is proven in a general framework by an explicit identification between the local observables of the two corresponding theories.Comment: Letter based on hep-th/9905179, 4 pages, 1 figur