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GPFQGQIM2016 Workshop

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