**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 300Speaker: Nenad ManojlovicTitle: Fusion procedure and the representation theory of the Sklyanin algebraAbstract: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 300Speaker: Aleksandar MikovicTitle: Regge quantum gravity and cosmological constantAbstract: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 300Speaker: Marko VojinovicTitle: Quantum entanglement between gravity and matterAbstract: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 300Speaker: Igor SalomTitle: Creation operators and Bethe vectors of the sl(2) Gaudin model with boundaryAbstract: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**

- Djordje Sijacki (Serbian Academy of Sciences and Arts, University of Belgrade, Serbia)
- Aleksandar Mikovic (Group of Mathematical Physics, University of Lisbon and Lusofona University, Protugal)
- Nenad Manojlovic (Group of Mathematical Physics, University of Lisbon and University of Algarve, Portugal)
- Marko Vojinovic (Group of Mathematical Physics, University of Lisbon, Portugal)
- Igor Salom (Group for Gravitation, Particles and Fields, Institute of Physics Belgrade, Serbia)
- Dejan Simic (Group for Gravitation, Particles and Fields, Institute of Physics Belgrade, Serbia)
- Biljana Nikolic (Group for Gravitation, Particles and Fields, Faculty of Physics Belgrade, Serbia)
- Nikola Konjik (Group for Gravitation, Particles and Fields, Faculty of Physics Belgrade, Serbia)