On the Representative SeriesHoang Ngoc Minh, V
doi: 10.1088/1742-6596/2912/1/012013pmid: N/A
For factorizing representative (or rational) series, with coefficients in a commutative ring A containing ℚ, we examine various products such as concatenation, shuffle and its ϕ-deformations, … (and their co-products) defined on the free monoid which are such that their associated bialgebras are isomorphic to the Sweedler’s dual, for A being a field K.
Peer Review Statementdoi: 10.1088/1742-6596/2912/1/011002pmid: N/A
All papers published in this volume have been reviewed through processes administered by the Editors. Reviews were conducted by expert referees to the professional and scientific standards expected of a proceedings journal published by IOP Publishing.1. Type of peer review: Single anonymous2. Conference submission management system: Morressier3. Number of submissions received: 514. Number of submissions sent for review: 515. Number of submissions accepted: 476. Acceptance Rate (Submissions Accepted / Submissions Received × 100): 92.2 %7. Average number of reviews per paper: 1.008. Total number of reviewers involved: 449. Contact person for queries:Name: Cestmír BurdikAffiliation: Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University in Prague, Czech RepublicEmail: [email protected]
Toda field theories and Calogero models associated to infinite Weyl groupsFring, Andreas
doi: 10.1088/1742-6596/2912/1/012021pmid: N/A
Many integrable theories can be formulated universally in terms of Lie algebraic root systems. Well-studied are conformally invariant scalar field theories of Toda type and their massive versions, which can be expressed in terms of simple roots of finite Lie and affine Kac-Moody algebras, respectively. Also, multi-particle systems of Calogero-Moser-Sutherland type, which require the entire root system in their formulation, are extensively studied. Here, we discuss recently proposed extensions of these models to similar systems based on hyperbolic and Lorentzian Kac-Moody algebras. We explore various properties of these models, including their integrability and their invariance with respect to infinite Weyl groups of affine, hyperbolic, and Lorentzian types.
New interpretation of Kaluza-Klein compactificationCatto, Sultan; Nicolescu, Bogdan; Burdik, Cestmir
doi: 10.1088/1742-6596/2912/1/012006pmid: N/A
Utilizing Jordan algebras and superalgebras, we focus on the significant role of lattices associated with discrete subgroups of the non-compact groups of the magic square. These lattices are not just a part of the process, but they play a profound role in reformulating conformal field theories and forming superstring theories, thereby pointing to a more comprehensive theory connected with a chiral 27-dimensional lattice, which is an extension of Conway’s lattice. We also highlight our newly discovered 16-dimensional algebra, which resembles Hurwitz’s algebras and its connection to superstrings, octonionic color algebras, and Galois Fields.
Dirac Theory, Relativistic Fluid Dynamics & Fisher InformationYahalom, Asher
doi: 10.1088/1742-6596/2912/1/012027pmid: N/A
In previous papers we have shown how Schrödinger equations which include an electromagnetic field interaction can be deduced from a fluid dynamical Lagrangian of a charged potential flow that interacts with an electromagnetic field. The quantum behaviour was derived from Fisher information terms which were added to the classical Lagrangian. It was thus shown that a quantum mechanical system is drived by information and not only electromagnetic fields. This program was applied also to Pauli’s equations by removing the restriction of potential flow and using the Clebsch formalism. Although the analysis was quite successful there were still terms that did not admit interpretation, some of them can be easily traced to the relativistic Dirac theory. It is thus suggested to repeat the analysis for a relativistic flow, relating it to the Dirac theory by adding invariant four dimensional Fisher information terms. It is shown that while the classical parts of a classical fluid and a Dirac fluid can be mapped, the Fisher information term of Dirac theory is non-trivial.LQuantum=LClassical Fluid+LFisher Information
XXVIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-28)Burdık, C.; Navratil, O.; Toppan, F.; Vourdas, A.
doi: 10.1088/1742-6596/2912/1/011001pmid: N/A
The XXVIII International Conference on Integrable Systems and Quantum Symmetries (ISQS-28), was organized by the Department of Mathematics, Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University Prague. It belongs to a successful series of conferences held at the Czech Technical University which began in 1992, and it is devoted to problems of mathematical physics and in particular to the theory of integrable systems, quantum groups and quantum symmetries. This year the Conference attracted around 95 scientists from all over the world. 47 papers of plenary lectures and contributions presented at ISQS-28, are published in the present issue of the Journal of Physics: Conference Series.List of Conference board and Local organizing committee are available in this Pdf.
Quantum Reference Frame Transformations, Noncommutative Values of Observables, and Quantum RelativityKong, Otto C. W.
doi: 10.1088/1742-6596/2912/1/012004pmid: N/A
The subject of quantum reference frame transformations gets popular lately with some interesting new theoretical development partly for the reason that the physics involved is becoming experimentally accessible. The position of a position eigenstate when observed from an object with ‘uncertainty’ in position would be seen with ‘uncertainty’. In fact, even the existence of entanglement is reference frame-dependent. We present an improved formulation of such a transformation and give a novel way to describe exactly by ‘how much’ the ‘value of the position’ has changed which fully encodes all information about the changes, including the ‘uncertainty’ and entanglement. That is an application of the notion of noncommutative values of physical quantities we introduced to understand the reality of quantum physics and beyond. Some implications on fundamental physics will also be discussed. In particular, we suggest thinking about quantum gravity as a theory of general quantum relativity, alleviating Penrose’s notion of incompatibility of qauntum mechanics with the relativity principle.
Pseudo-Conformal Field TheoryRagiadakos, C. N.
doi: 10.1088/1742-6596/2912/1/012015pmid: N/A
Starting from the observation that the 2-d Polyakov action is metric independent without being topological, while the 4-d Weyl-conformal action is not metric independent, I searched for a 4-d structure and field equation which would be metric independent. I found that the structure is the existence of a geodetic and shear-free Newman-Penrose (NP) null tetrad, which is a Frobenius integrable structure, called lorentzian Cauchy-Riemann (LCR) structure. The metric independent equation is a gauge field equation identified with the gluon field. Imposing the LCR-structure as the fundamental structure of nature (instead of the Einstein-metric) all the interactions (gravity, electroweak and gluonic) are derived. The three generations of the leptons are solitonic configurations with precise topological invariants. The quarks are confined sources of the gluonic field implied by the LCR-tetrad of the corresponding leptons. Quantum field theory emerges through the Bogoliubov causal approach and the standard model is derived through the Scharf procedure of the Kugo-Ojima BRS elimination technique of the unphysical modes of the spin-1 and spin-2 fields.