This is a short review of work done with Jacques Bros and Ugo Moschella. A general framework for QFT on AdS or its universal cover is given, with definitions of covariance, locality, and energy-momentum spectrum, and expressed in terms of analyticity properties of Wightman functions. The Bisognano-Wichmann analyticity follows (leading to the AdS-Unruh effect), as well as CTP.
Universal Cover Spectral Condition Wightman Function Universal Covering Group Wick Power
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M. Bertola, J. Bros, U. Moschella and R. Schaeffer: A general construction of conformal field theories from scalar anti-de Sitter quantum field theories. Nucl. Phys. B 587:619–644 (2000). [hep-th/9908140].ADSMathSciNetCrossRefMATHGoogle Scholar
J. Bros, H. Epstein and U. Moschella: Towards a General Theory of Quantized Fields on the Anti-de Sitter Space-Time. Commun. Math. Phys. 231:481–528 (2002). [hep-th/0111255].ADSMathSciNetCrossRefMATHGoogle Scholar