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      Content of the proceedings is organized as the programme of the Symposium. A click on the title of a talk will trigger a download of related pdf-file provided by the Author. Except letters/addresses of friends of Jurek, where you would click on a name. Not all contributions are available by now.

         Thursday, 24 June 2021

Time Author/Abs Title
10:00–10:30 J. Lewandowski By giving a global structure to the Kerr-NUT-(A)dS spacetimes, a new family of globally defined spacetimes is found. This gravitational analogue of the Dirac monopole is now available for all values of the Kerr parameter and cosmological constant. These spaces are asymptotically (A)dS, some of them contain black holes, some of them contain non-homogenoues cosmologies. The results are from work done jointly with Maciej Ossowski. "Topological deformation of black hole and cosmological spacetimes"
10:30–11:00 K. Yoshida Recently, a 4D Cherns-Simons (CS) theory has been proposed by Costello and Yamazaki as a unified theory of 2D classically integrable field theories. In this talk, I will explain how to derive Yang-Baxter sigma models from this 4D CS theory. "Yang-Baxter sigma models from 4D Chern-Simons theory"
11:00–11:25 K. Meissner "E(10) symmetry, giant black holes and high energy cosmic rays"
11:25–11:50 M. Chaichian "Dispersion of Light through the Interstellar Space vs Lorentz Invariance Violation"
11:50–12:00 Break
12:00–12:30 I. Białynicki-Birula "Time crystals made of electron-positron pairs"
12:30–13:00 P. Aschieri We study noncommutative deformations of the wave equation in curved backgrounds and see how the corresponding dispersion relations depend on the combined effects of spacetime curvature and noncommutativity. We follow a differential geometry approach based on deformation via a general Drinfeld twist, and then discuss in detail the Jordanian twist - giving κ-Minkowski spacetime in flat space - in the presence of a Friedman-Lemaitre-Robertson-Walker (FLRW) cosmological background. We obtain a new expression for the variation of the speed of light that is compatible with high energy photon events from gamma ray bursts. Based on joint work with A. Borowiec and A. Pachol. "Dispersion relations in κ-noncommutative cosmology "
13:00–13:25 J. Rembieliński / J. Ciborowski In this talk, based on the paper by J.R. and Jacek Ciborowski (UW) (in preparation) , I demonstrate that recently introduced class of quasilinear quantum operations [J. Rembielinski and P. Caban. Nonlinear evolution and signaling, Phys. Rev. Research,2:012027, 2020, and Nonlinear extension of the quantum dynamical semigroup, Quantum 5, 420 (2021)] can be applied to description of the flavor evolution of solar neutrinos. "Nonlinear evolution of solar neutrinos?"
13:25–13:50 S. Fedoruk It is presented a new twistorial field formulation of the D=4 massless infinite (continuous) spin particle. This description uses two Penrose twistors subjected to the set of the first class constraints. After the first quantization of the world-line twistorial model, we find a twistorial infinite spin field and derive its helicity decomposition. Using the field twistor transform, we construct the space-time infinite (continuous) spin fields, which depend on the coordinate four-vector and additional commuting Weyl spinor. Twistor field plays the role of a prepotential to the the space-time field. It is shown that this space-time field is an exact solution of the space-time constraints defining the irreducible massless representation of the Poincare group with infinite spin. We show that the infinite integer-spin field and infinite half-integer-spin field form the N=1 infinite spin supermultiplet. The corresponding supersymmetry transformations are formulated and their on-shell algebra is derived. Using twistor-like formulation we develop the BRST approach and derive the Lagrangian for the half-integer infinite spin fields. "Twistor formulation of 4D infinite spin (super)particle"
13:50–15:00 Break
15:00–15:30 G. Amelino-Camelia "Phenomenology of curvature-induced quantum-gravity effects"
15:30–16:00 P. Kosiński / P. Maślanka "Dynamical systems, coadjoint orbits and space-time symmetries"
16:00–16:25 G. Fiore I will present a general procedure to construct noncommutative deformations of an embedded submanifold M of Rn determined by a set of smooth equations fa(x)=0. We use the framework of Drinfel'd twist deformation of differential geometry of ref. [Aschieri et al., Class. Quantum Gravity 23 (2006), 1883]; the commutative pointwise product is replaced by a (generally noncommutative) star-product determined by a Drinfel'd twist. I will also show a couple of examples of noncommutative quadrics based on Abelian or Jordanian twists. "Twisted submanifolds of Rn "
16:25–16:35 Break
16:35–17:00 A. Sitarz The tools of spectral geometry lead to the derivation of the action functionals both for gauge theories and gravity. The simplest, mildly noncommutative models with a product geometry give the standard Yang-Mills-Higgs models and the General Relativity action with a cosmological constant. An interesting situation occurs when the geometry is not of the product type, thus allowing the metric to be dynamical in the discrete degrees] of freedom. The resulting model resembles bimetric gravity, and demonstrates stability for a class of typical cosmological solutions. Based on a joint work with Arkadiusz Bochniak. "From spectral geometry to bimetric gravity"
17:00–17:25 G. Zoupanos/ G. Manolakos Following the spirit of expressing gravity theories in a gauge-theoretic way, we develop a gravity model as a gauge theory on a 4-d covariant non-commutative space, which is related to the 4-d de Sitter space. After the determination of the appropriate gauge group, the equations of motion are extracted and the field strength tensor is obtained. Then, a spontaneous breaking of the initial symmetry is performed by the introduction of an auxiliary scalar field and, last, its implications to the reduced theory, which is produced after considering the commutative limit, are examined. "Four-Dimensional Gravity on a Covariant Non-commutative (fuzzy) Space"
17:25–17:45 T. Trześniewski Gravity in 2+1 dimensions can be formulated as the Chern-Simons theory with an appropriate local isometry group as the gauge group, depending on the metric signature and the cosmological constant. Subsequently, it can be quantized by the Hopf-algebraic deformation of the Poisson structure, which is determined by a given classical r-matrix associated with the corresponding gauge algebra. The relevant Lie algebras are o(2,2), o(3,1) and o(4), as well as their Inonu-Wigner contractions io(2,1) and io(3) (i.e., Poincare and inhomogeneous Euclidean algebras. All of the former can be treated as real forms of the algebra o(4;C), which facilitates obtaining the complete classification of the relevant classical r-matrices, as done by Borowiec, Lukierski and Tolstoy, while we showed that the results of Stachura are recovered in the limit of vanishing cosmological constant (quantum Inonu-Wigner contractions. However, the condition of compatibility with the Chern-Simons theory restricts r-matrices to a narrower class. In particular, the timelike κ-Poincare deformation is excluded (unless one speculative assumption is made) but its spacelike version is not. "Classical r-matrices for 3D gravity"

         Friday, 25 June 2021

Time Author/Abs Title
10:00–10:30 S. Majid We report on progress in quantum spacetime model building using the recent framework of quantum Riemannian geometry, including the notion of quantum geodesics. "Quantum geodesics in quantum spacetime"
10:30–11:00 A. Ballesteros "The κ-(A)dS noncommutative spacetime and beyond"
11:00–11:25 I. Aref'eva Holography for NICA
11:25–11:50 I. Bandos /
D. Sorokin
"ModMax electrodynamics"
11:50–12:00 Break
12.00–12.40 More official part
Special Seminar of IFT to honour Jerzy Lukierski.
Venue: Jan Rzewuski Hall. Time: 12:00-14:00
Chairman: A. Frydryszak
Rector of the University of Wroclaw Przemysław Wiszewski,
Rector of Wroclaw University of Science and Technology Arkadiusz Wójs,
Dean of Department of Physics and Astronomy M. Tomczak,
letter of the Director of the Laboratory of Theoretical Physics in Dubna D.I. Kazakov; members of the Department of Physics and Astronomy: J.Sobczyk, D.Blaschke, J.Kowalski-Glikman
12:40–12:45 W. Zakrzewski More than Jurek's scientific collaborators - old friends from abroad
12:45–13:00 J.A. de Azcárraga
13:00–13:20 R. Kerner
13:20–13:30 L. Turko Occasional addresses and letters of Jurek's younger colleagues from our Institute at Wroclaw University.
Letters from: T. Nowicki, B. Milewski and M. Woronowicz.
13:30–13:40 K. Redlich
13:40–13:50 Z. Haba
13:50–14:00 M. Mozrzymas
14:00–15:00 Break
15:00–15:30 S. Pokorski "Goldstone boson decays and chiral anomalies"
15:30–16:00 E. Ivanov "Higher-dimensional invariants in 6D SYM theory'"
16:00–16:30 M. Dunajski "Solitons on a wormhole"
16:30–16:40 Break
16:40–17:00 A. Pachoł Noncommutative spacetimes lead to a modification of their corresponding relativistic symmetries, which are described by quantum groups. Having a dual pair of Hopf algebras, one can construct the so called Heisenberg double which can be seen as a generalization of the quantum mechanics phase space. Such constructions have been of interest especially for the κ-Minkowski noncommutative spacetime and its deformed relativistic symmetry κ-Poincare quantum group as well as for the θ-deformation. We have now also investigated the possibility of constructing the Heisenberg double for the Snyder model, where two coordinates do not commute to Lorentz generators. We also construct an extended Snyder model by using the Lorentz algebra, in one dimension higher. The dual pair of extended Snyder algebra and extended Snyder group is then formulated. In this case two further Heisenberg doubles are considered. The talk is based on the paper published in Symmetry Special Issue "Quantum Group Symmetry and Quantum Geometry" (2021), arXiv:2101.02512. "Heisenberg doubles for Snyder type models"
17:00–17:20 A. Frydryszak "States on Weyl algebra in flux"
17:20–17:40 C. Burdik This talk continues our recent results on the Bethe vectors for the RTT-algebra of sp(4) type. We show how it is possible to rewrite the Bethe vectors in a different which is similar to the trace–formula for the Bethe vectors of the RTT-algebra of the gl(3) type. "Trace formula for the RTT-algebra of sp(4) type"