2016 Workshop on Quantum Gravity and Quantum Integrable Models
15-18 August 2016, Belgrade, Serbia
Organization
The Workshop is organized by Group for Gravitation, Particles and Fields (Institute of Physics, University of Belgrade), within the framework of the bilateral project "Quantum Gravity and Quantum Integrable Models 2015-2016" between Portugal and Serbia, number 451-03-01765/2014-09/24.
Programme
| Monday, 15. August |
11:00-12:30 --- Lecture 12:30-14:00 --- Lunch 14:00-16:00 --- Discussion session |
Place: Institute of Physics, room 300 Speaker: Nenad Manojlovic Title: Fusion procedure and the representation theory of the Sklyanin algebra Abstract: Using the fusion procedure for the Baxter eight vertex R-matrix we have obtained low dimensional representations of the elliptic Sklyanin algebra. Based on the obtained representations we have initiated the study of the open XYZ Heisenberg spin chain. |
| Tuesday, 16. August |
11:00-12:30 --- Lecture 12:30-14:00 --- Lunch 14:00-16:00 --- Discussion session |
Place: Institute of Physics, room 300 Speaker: Aleksandar Mikovic Title: Regge quantum gravity and cosmological constant Abstract: If we assume that the short-distance structure of the spacetime is a picewise linear manifold corresponding to a triangulation of a smooth manifold, then we can obtain a finite state-sum model which is a generalization of the Regge path integral for GR. By using the effective action approach we show how to compute the quantum corrections and how the diffeomorphism invariance appears. We also show how the model can solve the problem of the cosmological constant. |
| Wednesday, 17. August |
11:00-12:30 --- Lecture 12:30-14:00 --- Lunch 14:00-16:00 --- Discussion session |
Place: Institute of Physics, room 300 Speaker: Marko Vojinovic Title: Quantum entanglement between gravity and matter Abstract: We show that gravitational and matter fields are always entangled, as a consequence of local Poincare symmetry. This entanglement is not of dynamical origin, as is common for interacting quantum systems, but rather of kinematical origin, enforced by gauge symmetry at the quantum level. We will give a general argument why one should expect the symmetry-protected entanglement in quantum gravity theories, and then support it by demonstrating explicitly that the Hartle-Hawking state is entangled, in the framework of the Regge quantum gravity model. These results may have various interesting consequences, including the universal gravitational decoherence of matter and a possible small violation of the weak equivalence principle. |
| Thursday, 18. August |
11:00-12:30 --- Lecture 12:30-14:00 --- Lunch 14:00-16:00 --- Discussion session |
Place: Institute of Physics, room 300 Speaker: Igor Salom Title: Creation operators and Bethe vectors of the sl(2) Gaudin model with boundary Abstract: We define a new set of generators which enable the full implementation of the algebraic Bethe ansatz for the sl(2) Gaudin model with the general reflection matrix. This approach is based on the linear bracket corresponding to the rational non-unitary classical r-matrix. |
List of participants
