Karl-Henning Rehren: List of Publications (July 2015) 1. Original papers.

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1 Karl-Henning Rehren: List of Publications (July 2015) 1. Original papers. 1. K. Pohlmeyer, KHR: Reduction of the two-dimensional O(n) nonlinear σ-model, Journ. Math. Phys. 20, (1979). 2. KHR: Constraints on the currents giving rise to integrable nonlinear systems, Phys. Lett. B 93, (1980). 3. K. Pohlmeyer, KHR: Algebraic properties of the invariant charges of the Nambu-Goto theory, Commun. Math. Phys. 105, (1986). 4. KHR, B. Schroer: Exchange algebra on the light-cone and order/disorder 2n-point functions in the Ising field theory, Phys. Lett. B 198, (1987). 5. K. Pohlmeyer, KHR: The algebra formed by the invariant charges of the Nambu-Goto theory: Identification of a maximal abelian subalgebra, Commun. Math. Phys. 114, (1988). 6. K. Pohlmeyer, KHR: The invariant charges of the Nambu-Goto theory: Their geometric origin and their completeness, Commun. Math. Phys. 114, (1988). 7. KHR, B. Schroer: Quasiprimary fields: An approach to positivity of 2D conformal quantum field theory, Nucl. Phys. B 295, (1988). 8. KHR: Locality of conformal fields in two dimensions: Exchange algebra on the lightcone, Commun. Math. Phys. 116, (1988). 9. KHR, B. Schroer: Einstein causality and Artin braids, Nucl. Phys. B 312, (1989); (reprinted in: New Problems, Methods, and Techniques in Quantum Field Theory and Statistical Mechanics, ed. M. Rasetti (World Scientific, Singapore 1990), and in: New Developments in the Theory of Knots, ed. T. Kohno (World Scientific, Singapore 1991)). 10. K. Fredenhagen, KHR, B. Schroer: Superselection sectors with braid group statistics and exchange algebras. I: General theory, Commun. Math. Phys. 125, (1989). 11. KHR: Space-time fields and exchange fields, Commun. Math. Phys. 132, (1990). 12. KHR: Field operators for anyons and plektons, Commun. Math. Phys. 145, (1992). 13. K. Fredenhagen, KHR, B. Schroer: Superselection sectors with braid group statistics and exchange algebras. II: Geometric aspects and conformal covariance, Rev. Math. Phys. SI1 (Special Issue), (1992). 14. KHR: A new view of the Virasoro algebra, Lett. Math. Phys. 30, (1994). 15. KHR: On the range of the index of subfactors, Journ. Funct. Anal. 134, (1995).

2 K.-H. Rehren: List of Publications R. Longo, KHR: Nets of subfactors, Rev. Math. Phys. 7, (1995). 17. KHR, Ya. Stanev, I. T. Todorov: Characterizing invariants for local extensions of current algebras, Commun. Math. Phys. 174, (1996). 18. KHR: Comments on a recent solution to Wightman s axioms, Commun. Math. Phys. 178, (1996). 19. KHR: Bounded Bose fields, Lett. Math. Phys. 40, (1997). 20. K. Frieler, KHR: A non-abelian square root of abelian vertex operators, Journ. Math. Phys. 39, (1998). 21. KHR: Spin-Statistics and CPT for solitons, Lett. Math. Phys. 46, (1998). 22. KHR: Chiral observables and modular invariants, Commun. Math. Phys. 208, (2000). 23. KHR: Algebraic holography, Ann. H. Poinc. 1, (2000). 24. KHR: Canonical tensor product subfactors, Commun. Math. Phys. 211, (2000). 25. KHR: Local quantum observables in the AdS-CFT correspondence, Phys. Lett. B 493, (2000). 26. M. Grott, KHR: On a class of bounded quantum Bose fields, Lett. Math. Phys. 53, (2000). 27. KHR, H. R. Tuneke: Fusion rules for the continuum sectors of the Virasoro algebra with c = 1, Lett. Math. Phys. 53, (2000). 28. KHR: Locality and modular invariance in 2D conformal QFT, in: Mathematical Physics in Mathematics and Physics, Proceedings Siena 2000, eds. D. Guido and R. Longo, Fields Institute Communications 30, (2001). 29. M. Dütsch, KHR: A comment on the dual field in the AdS-CFT correspondence, Lett. Math. Phys. 62, (2002). 30. C. Meusburger, KHR: Algebraic quantization of the closed bosonic string, Commun. Math. Phys. 237, (2003). 31. M. Dütsch, KHR: Generalized free fields and the AdS-CFT correspondence, Ann. H. Poinc. 4, (2003). 32. R. Longo, KHR: Local fields in boundary conformal QFT, Rev. Math. Phys. 16, (2004). 33. N.M. Nikolov, KHR, I.T. Todorov: Partial wave expansion and Wightman positivity in conformal field theory, Nucl. Phys. B 722, (2005). 34. Y. Kawahigashi, R. Longo, U. Pennig, KHR: The classification of non-local chiral CFT with c < 1, Commun. Math. Phys. 271, (2007). 35. B. Bakalov, N.M. Nikolov, KHR, I. Todorov: Unitary positive-energy representations of scalar bilocal quantum fields, Commun. Math. Phys. 271, (2007).

3 K.-H. Rehren: List of Publications N.M. Nikolov, KHR, I. Todorov: Harmonic bilocal fields generated by globally conformal invariant scalar fields, Commun. Math. Phys. 279, (2008). 37. B. Bakalov, N.M. Nikolov, KHR, I. Todorov: Infinite dimensional Lie algebras in 4D conformal quantum field theory, J. Phys. A: Math. Theor. 41(2008) ; reprinted in: Lie Theory and its Applications in Physics VII, Proceedings Varna 2007, eds. V. Dobrev et al., Heron Press (Sofia), Bulg. J. Phys. 35 s1 (2008) R. Longo, KHR: How to remove the boundary in CFT: an operator algebraic procedure, Commun. Math. Phys. 285 (2009) R. Longo, P. Martinetti, KHR: Geometric modular action on disjoint intervals and boundary conformal field theory, Rev. Math. Phys. 22 (2010) M. Dütsch, KHR: Protecting the conformal symmetry via bulk renormalization on Anti desitter space, Commun. Math. Phys. 307 (2011) R. Longo, KHR: Boundary quantum field theory on the interior of the Lorentz hyperboloid, Commun. Math. Phys. 311 (2012) A. Kukhtina, KHR: Local commutators and deformations in conformal chiral quantum field theories, Int. J. Math. Phys. A 26 (2011) KHR, G. Tedesco: Multilocal fermionization, Lett. Math. Phys. 103 (2013) M. Bischoff, Y. Kawahigashi, R. Longo, KHR: Phase boundaries in algebraic conformal QFT, arxiv: R. Longo, V. Morinelli, KHR: Where infinite spin particles are localizable, arxiv: , accepted for publication in Commun. Math. Phys. 2. Conference reports. 46. KHR: Geometric charges of the Nambu-Goto string, in: String theory, quantum cosmology and quantum gravity, integrable and conformal invariant theories, Proceedings Paris-Meudon 1986, eds. H.J. de Vega, N. Sanchez (World Scientific, Singapore 1987), pp KHR: Quantum symmetry associated with braid group statistics. I, in: Quantum Groups, Proceedings of the ASI Workshop, Clausthal 1989, eds. H.-D. Doebner et al. (Springer 1990), Lecture Notes in Physics 370, pp D. Kastler, M. Mebkhout, KHR: Introduction to the algebraic theory of superselection sectors, in: The Algebraic Theory of Superselection Sectors, Proceedings Palermo 1989, ed. D. Kastler (World Scientific, Singapore 1990), pp KHR: Braid group statistics and their superselection rules, in: The Algebraic Theory of Superselection Sectors, Proceedings Palermo 1989, ed. D. Kastler (World Scientific, Singapore 1990), pp KHR: Markov traces as characters for local algebras, in: Recent Advances in Field Theory, Proceedings of the 4 th Annecy Meeting on Theoretical Physics 1990, eds. P. Binétruy et al., Nucl. Phys. B (Proc. Suppl.) 18B, (1990).

4 K.-H. Rehren: List of Publications KHR: Braid group statistics, Lectures at the DPG Spring School (Bad Honnef 1990), in: Geometry and Theoretical Physics, eds. J. Debrus, A.C. Hirshfeld, pp (Springer 1991). 52. KHR: Charges in quantum field theory, in: Mathematical Physics X, Proceedings of the 10 th IAMP Congress on Math. Phys., Leipzig 1991, ed. K. Schmüdgen (Springer 1992), pp KHR: Quantum symmetry associated with braid group statistics. II, in: Quantum Symmetries, Proceedings of the ASI Workshop, Clausthal 1991, eds. H.-D. Doebner et al. (World Scientific, Singapore 1993), pp KHR: Remarks on quantum symmetry, Czech. Journ. Phys. 42, (1992). 55. KHR: Subfactors and coset models, in: Generalized Symmetries in Physics, Proceedings of the ASI Symposium, Clausthal 1993, eds. V.K. Dobrev et al. (World Scientific, Singapore 1994), pp KHR: Weak C* Hopf symmetry, in: Group Theoretical Methods in Physics, Proceedings of the Quantum Group Symposium at Group 21, Goslar 1996, eds. H.- D. Doebner and V.K. Dobrev (Heron Press, Sofia 1997), pp KHR: Generalized Cuntz algebras associated with subfactors, in: Operator Algebras and Quantum Field Theory, Proceedings Rome 1996, eds. S. Doplicher et al. (International Press 1997), pp KHR: A proof of the AdS-CFT correspondence, in: Quantum Theory and Symmetries, Proceedings Goslar 1999, eds. H.-D. Doebner et al.(world Scientific, Singapore 2000), pp KHR: New subfactors associated with closed systems of sectors, in: Advances in Operator Algebras, Proceedings Kyoto 1999, ed. H. Kurose, RIMS Kokyuroku 1131, (2000). 60. KHR: QFT lectures on AdS-CFT, in: Proceedings of the III. Summer School in Modern Mathematical Physics, 2004, Zlatibor (Serbia and Montenegro), eds. B. Dragovich et al. (Institute of Physics, Belgrade 2005) pp KHR: On local boundary CFT and non-local CFT on the boundary, in: Rigorous Quantum Field Theory, Proceedings Paris 2004, eds. A. Boutet de Monvel et al., (Birkhäuser, 2007), Progress in Mathematics 251, pp N.M. Nikolov, KHR, I. Todorov: Pole structure and biharmonic fields in conformal QFT in four dimensions, in: Lie Theory and its Applications in Physics VII, Proceedings Varna 2007, eds. V. Dobrev et al., Heron Press (Sofia), Bulg. J. Phys. 35 s1 (2008) M. Bischoff, D. Meise, KHR, I. Wagner: Conformal quantum field theory in various dimensions, in: Algebraic Methods in Quantum Field Theory, Proceedings Sofia 2009, eds. V. Dobrev et al., Heron Press (Sofia), Bulg. J. Phys. 36 (2009)

5 K.-H. Rehren: List of Publications C. Neumann, KHR, L. Wallenhorst: New methods in conformal partial wave analysis, in: Lie Theory and Its Applications in Physics, Proceedings Varna 2011, ed. V. Dobrev, Springer Proc. Math. Stat. 36 (2013) Reviews, essays, encyclopedia articles, etc. 65. K. Fredenhagen, KHR: Algebraische Quantenfeldtheorie, in: Lexikon der Physik, W. Greulich (Hrsg.), Spektrum Akad. Verlag Heidelberg 1998, S J. Mund, KHR: Symmetries in QFT of lower spacetime dimensions, in: Encyclopedia of Mathematical Physics, eds. J.-P. Françoise et al. (Elsevier 2006), pp K. Fredenhagen, KHR, E. Seiler: Quantum field theory: where we are, in: Approaches to Fundamental Physics an Assessment of Current Theoretical Ideas, eds. E. Seiler and I.O. Stamatescu, Springer 2007, Lecture Notes in Physics 721, pp KHR, E. Seiler: Appendix to: Approaches to Fundamental Physics an Assessment of Current Theoretical Ideas, eds. E. Seiler and I.O. Stamatescu, Springer 2007, Lecture Notes in Physics 721, pp KHR, E. Seiler, I.O. Stamatescu: Glossary to: Approaches to Fundamental Physics an Assessment of Current Theoretical Ideas, eds. E. Seiler and I.O. Stamatescu, Springer 2007, Lecture Notes in Physics 721, pp M. Bischoff, Y. Kawahigashi, R. Longo, KHR: Tensor categories of endomorphisms and inclusions of von Neumann algebras, SpringerBriefs in Mathematical Physics, Vol. 3, KHR: Algebraic conformal quantum field theory in perspective, arxiv: , to appear in: Advances in Algebraic Quantum Field Theory, Springer 2015.