Abstract
We construct families of ground state representations of the U ( 1 ) -current net and of the Virasoro nets Vir c with central charge c ≥ 1 . We show that these representations are not covariant with respect to the original dilations, and those on the U ( 1 ) -current net are not solitonic. Furthermore, by going to the dual net with respect to the ground state representations of Vir c , one obtains possibly new family of Möbius covariant nets on S 1 .
Highlights
A model of quantum field theory may be in various states: in quantum theory, a system is defined by the algebra of observables and a physical state is realized as a normalized positive linear functional on it [1]
We focus on the simplest class of quantum field theory: chiral components of two-dimensional conformal field theory
We studied the KMS states with respect to rotations in a previous work [8] and discussed possible applications to 3d black holes.).Differently from KMS states, it appears to be difficult to classify ground states for a given net: the techniques to classify KMS states do not directly apply to ground states, because we do not have a direct connection between ground states and modular automorphisms, which was crucial
Summary
A model of quantum field theory may be in various states: in quantum theory, a system is defined by the algebra of observables and a physical state is realized as a normalized positive linear functional on it [1]. We construct ground states on chiral components of certain two-dimensional conformal field theories. Symmetry 2018, 10, 415 in [6] (Section 4.2.1, Appendix B) (the arguments for the case of maximal nets [6] (Theorem 4.7) might still work for ground states), nor extension results of KMS states to larger net (cf [7] (Appendix A), [9]). As the Virasoro nets with c ≥ 1 restricted to R can be embedded in the U(1)-current net [11], they admit a family of ground states In this way, we construct a family of pure ground states on the.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
