GROUP COHOMOLOGY, MODULAR THEORY AND SPACE-TIME SYMMETRIES
نویسندگان
چکیده
منابع مشابه
Group Cohomology, Modular Theory And Space-Time Symmetries
The Bisognano-Wichmann property on the geometric behavior of the modular group of the von Neumann algebras of local observables associated to wedge regions in Quantum Field Theory is shown to provide an intrinsic suucient criterion for the existence of a covariant action of the (universal covering of) the Poincar e group. In particular this gives, together with our previous results, an intrinsi...
متن کاملv 1 1 8 Ja n 19 94 GROUP COHOMOLOGY , MODULAR THEORY AND SPACE - TIME SYMMETRIES
The Bisognano-Wichmann property on the geometric behavior of the modular group of the von Neumann algebras of local observables associated to wedge regions in Quantum Field Theory is shown to provide an intrinsic sufficient criterion for the existence of a covariant action of the (universal covering of) the Poincaré group. In particular this gives, together with our previous results, an intrins...
متن کاملAnomalies of discrete symmetries in three dimensions and group cohomology
We study ’t Hooft anomalies for a global discrete internal symmetry G. We construct examples of bosonic field theories in three dimensions with a nonvanishing ’t Hooft anomaly for a discrete global symmetry. We also construct field theories in three dimensions with a global discrete internal symmetry G1 × G2 such that gauging G1 necessarily breaks G2 and vice versa. This is analogous to the Adl...
متن کاملAnomalous discrete symmetries in three dimensions and group cohomology.
We study 't Hooft anomalies for a global discrete internal symmetry G. We construct examples of bosonic field theories in three dimensions with a nonvanishing 't Hooft anomaly for a discrete global symmetry. We also construct field theories in three dimensions with a global discrete internal symmetry G(1) × G(2) such that gauging G(1) necessarily breaks G(2) and vice versa. This is analogous to...
متن کاملSpace-Time Symmetries in Noncommutative Gauge Theory: A Hamiltonian Analysis
We study space-time symmetries in Non-Commutative (NC) gauge theory in the (constrained) Hamiltonian framework. The specific example of NC CP (1) model, posited in [9], has been considered. Subtle features of Lorentz invariance violation in NC field theory were pointed out in [13]. Out of the two Observer and Particle distinct types of Lorentz transformations, symmetry under the former, (due to...
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ژورنال
عنوان ژورنال: Reviews in Mathematical Physics
سال: 1995
ISSN: 0129-055X,1793-6659
DOI: 10.1142/s0129055x95000050