Dear members of the scientific community,especially those working in mathematical and particle physics and related fields, we are pleased to invite you to the international conference Selected Topics in Mathematical and Particle Physics Prague 2009
which is organized by fourth institutions : Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University Prague,
Institute of Physics of the AS CR,
Faculty of Mathematics and Physics, Charles University in Prague
and Nuclear Physics Institute of the AS CR
on the occasion of Prof. Jiří Niederle 70^{th} birthday.
It will be held in Prague, Czech Republic on May 57, 2009 in New York University in Prague (Male namesti 11, CZ110 00 Prague 1).
The preliminary scientific program
includes the following topics:
 Quantum and Geometric Aspects of Supersymmetric Theories,
 HigherSpin Theories,
 String Theories,
 New Symmetries in Mathematics and Physics,
 Particle physics (what we can expect from LHC, extradimensions,...).
The programme of the Conference includes about nine (40 minutes) talks scheduled for three morning sessions. Further contributions (30 minutes talks) will be presented during afternoon sessions.
List of talksAzcarraga Jose A. de : On nary algebras Bandos Igor: SDiff gauge theories, BLG model and its N=8 superspace formulation Bičák Jiří: Gravitomagnetism De Rujula Alvaro: The threat of dark science Doebner HeinzDietrich : Nonlinear Symmetries in Quantum Mechanics Engelen Jos: The physics of Tera scale Faddeev Ludwig: Discrete evolution for the zero mode of quantum Liouville model Fedoruk Sergey: Superconformal Calogero models as a gauged matrix mechanics Fischer Jan: On the class of functions represented by an asymptotic perturbation expansion in QCD Furlan Paolo: A Finite Liouville Dress for c<1 Boundary Degenerate Matter. Gazeau Jean Pierre: Moment problem and coherent states quantization Hořava Peter: Quantum Gravity in Detailed Balance Ivanov Evgeny: Models of multiple M2 branes in N=3 harmonic superspace Jenni Peter: The ATLAS Experiment Entering Operation Kerner Richard: Ternary symmetries and the Lorentz group Kotecký Roman: Gradient models: renormalisation group in action Krivonos Sergey: N=4 superconformal nparticle mechanics Lukierski Jerzy: Twistorial string models Meissner Krzysztof: Conformal Symmetry and the Standard Model Mickelsson Jouko: From gauge anomalies to gerbes and gerbal actions Nikitin Anatoly: ChernSimons model in (1+3)dimensional Minkowski space RandjbarDaemi Seifallah: Branes, Tensions and Spectrum in 6D Supergravity Schnabl Martin: Prospects of String Field Theory Sissakian Alexei: Research program and innovation zone of JINR Sorokin Dmitri: HigherSpin Triplets in the Framelike Formulation Stuchlík Zdeněk: The role of the relict cosmological constant in astrophysical phenomena Todorov Ivan: Gauge Symmetry and Howe Duality in 4d Conformal QFT Models Znojil Miloslav: Timedependent Hilbert spaces in quantum theory
Talk schedule 
May 5, 09:20  Opening 
May 5, 09:3010:10  Faddeev Ludwig  Discrete evolution for the zero mode of quantum Liouville model Liouville model is an important example of the conformal field theory, playing role in the theory of noncritical string. Its modes are oscillators and zero mode. It is shown, that for discrete values of time evolution of zero mode separates from other dynamics and is given by one dimensional system, which can be described explicetely.

May 5, 10:1010:50  Sissakian Alexei  Research program and innovation zone of JINR

May 5, 11:2012:00  De Rujula Alvaro  The threat of dark science My talk is will be dedicated to honour Jiri Niederle, by discussing some other of the brightest objects sometimes visible by eye from cosmological distances: gammaray bursts (GRBs). There has been considerable progress in the understanding of GRBs during the recent "Swift era". This satellite has filled a gap in the observations of GRBs and their afterglows, mainly in the Xray domain, wherein previous information was scarce. I contend that GRBs are very well understood, since the predictions for them are fulfilled in detail, in spite of the elementary simplicity of the underlying physics. I shall concentrate on the science of the subject, but my title refers to its dark sociological aspects, which may be threatening in other domains as well.

May 5, 12:0012:40  Engelen Jos  The physics of Tera scale

May 5, 14:0014:30  Jenni Peter  The ATLAS Experiment Entering Operation The ATLAS Experiment Entering Operation: Overview, Motivation and Status of the Project The Large Hadron Collider LHC at the European Laboratory for Particle Physics CERN near Geneva will deliver particle collisions at the highest energy ever achieved in a laboratory. After more than 15 years of design and construction efforts the LHC and its experiments are finally starting operation. Besides the giant accelerator, which is installed in a ring tunnel of 27 km length about 100 m underground, the no less impressive and complex detectors are ready for data taking. A general overview of one of the keyexperiments, ATLAS, will be given. The LHC will allow ATLAS to study for the first time fundamental physics phenomena as they occurred very shortly after the Big Bang. ATLAS will address questions like: why have particles a mass, what is the nonvisible dark matter in the Universe, are there more than four dimensions in Nature, what are the smallest building blocks of matter? The expectations for new discoveries are high, since decades physicists are eagerly awaiting this exploratory step into the unknown. The ATLAS detector has been developed and constructed by a worldwide collaboration, and the Czech teams have made remarkable contributions to the project since its conception some 20 years ago, very much so thanks to the constant strong support and encouragements by Professor Niederle. Some highlights of the construction and commissioning of the detector will be illustrated, as well as examples of anticipated discovery signals. Speaker: Peter Jenni (CERN, former Spokesperson of the ATLAS Collaboration)

May 5, 14:3015:00  Mickelsson Jouko  From gauge anomalies to gerbes and gerbal actions Gerbes arise in hamiltonian quantization of field theory models, in presence of gauge or gravitational anomalies, and are related to group extensions in terms of twococyles of the relevant broken symmetry group and its Lie algebra. Threecocycles arise as obstructions to implementing certain symmetries in the Hilbert space of the quantum system. In this talk I will explain the connections between gerbes, older work on chiral anomalies and recent ideas of E. Frenkel and X. Zhu on "gerbal actions".

May 5, 15:0015:30  Nikitin Anatoly  ChernSimons model in (1+3)dimensional Minkowski space It is pretty well known that ChernSimon topological terms can be constructed in spaces of arbitrary odd dimensions. We discuss a possibility to construct such terms in even dimensional spaces and consider in detail the case of (1+3)dimensional Minkovski space.

May 5, 16:0016:30  Bičák Jiří  Gravitomagnetism After few historical remarks on Einstein, Mach and first ideas on gravitomagnetic effects the results of Gravity Probe B mission will critically be summarized and then the role of gravitomagnetism in contemporary relativity theory, astrophysics and cosmology will be discussed.

May 5, 16:3017:00  Kotecký Roman  Gradient models: renormalisation group in action Gradient models, occurring naturally as microscopic models of nonlinear elasticity, are zeromass models from the point of view of field theory. Rigorous renormalisation group turns up to be a useful tool for a study of its properties.

May 6, 09:3010:10  Hořava Peter  Quantum Gravity in Detailed Balance

May 6, 10:1010:50  Lukierski Jerzy  Twistorial string models

May 6, 11:2012:00  RandjbarDaemi Seifallah  Branes, Tensions and Spectrum in 6D Supergravity

May 6, 12:0012:40  Todorov Ivan  Gauge Symmetry and Howe Duality in 4d Conformal QFT Models

May 6, 14:0014:30  Fischer Jan  On the class of functions represented by an asymptotic perturbation expansion in QCD We address the problem of ambiguity of a function determined by the divergent (asymptotic) perturbation expansion in QCD. We consider functions represented by an integral of the LaplaceBorel type along a general contour in the complex Borel plane. Proving a modified form of the Watson lemma, we obtain a large class of functions having one given asymptotic perturbation series. Additional inputs that could reduce the ambiguity of perturbation theory are discussed, using the particular case of the Adler function in QCD.

May 6, 14:3015:00  Gazeau Jean Pierre  Moment problem and coherent states quantization There exist two families of coherent states for the motion of a charged particle interacting with a constant and uniform magnetic field: the MalkinMan'ko states (1969), which are just tensor products of standard coherent states, and the KowalskiRembielinski states (2005). By introducing a kind of squeezing parameter q > 1 we extend the definition of the latter and solve the corresponding Stieltjes moment problem. By solving this problem we are able to proceed to the BerezinKlauderToeplitz quantization of the physical quantities. We also give a solution to the moment problem in the case q < 1 by introducing an adapted qcalculus.

May 6, 15:0015:30  Kerner Richard  Ternary symmetries and the Lorentz group We show that the Lorentz and the SU(3) groups can be derived from the covariance principle conserving a $Z_3$graded threeform on a $Z_3$graded cubic algebra representing quarks endowed with nonstandard commutation laws.

May 6, 16:0016:30  Znojil Miloslav  Timedependent Hilbert spaces in quantum theory A compact review will be provided of the recent progress in the study of theoretical consequences of the ``ad hoc" variability of the operation of hermitian conjugation in the abstract Hilbert space of states of a quantum system. Besides the presentation of the general formalism offering an innovative threeHilbert space formulation of boundstate and scattering problems the review will also briefly cover some more concrete applications involving, e.g., the topologically nontrivial PTsymmetric toboggans and their supersymmetric and relativistic generalizations.

May 6, 16:3017:00  Stuchlík Zdeněk  The role of the relict cosmological constant in astrophysical phenomena Recent cosmological tests indicate existence of dark energy with properties very close to those of a small repulsive cosmological constant. We discuss the role of such a relict cosmological constant in accretion phenomena in the field of supermassive black holes in giant galaxies and in the ReesSciama effect influencing temperature fluctuations of the Cosmic Microwave Background.

May 6, 17:0017:30  Furlan Paolo  A Finite Liouville Dress for c<1 Boundary Degenerate Matter. We solve in terms of meromorphic expressions pentagonlike equations for the Liouville factor of the 3point boundary tachyon correlation functions in the nonrational, noncritical open string theory with $c_{\rm matter} < 1$.

May 7, 09:3010:10  Doebner HeinzDietrich  Nonlinear Symmetries in Quantum Mechanics

May 7, 10:1010:50  Azcarraga Jose A. de  On nary algebras The properties of nary algebras, algebras defined by a bracket with n>2 entries, are reviewed. nalgebras fall into two main families, the 'generalized Lie algebras' and the Filippov algebras or nLie algebras; both become ordinary Lie algebras for n=2. We discuss (some) of their properties and applications.

May 7, 11:2012:00  Schnabl Martin  Prospects of String Field Theory

May 7, 12:0012:40  Sorokin Dmitri  HigherSpin Triplets in the Framelike Formulation We consider the framelike formulation of reducible sets of totally symmetric bosonic and fermionic higherspin fields in flat and AdS backgrounds, that correspond to socalled higherspin triplets resulting from the stringinspired BRST approach. The explicit relationship of the fields of higherspin triplets to the higherspin vielbeins and connections is found. The gauge invariant actions are constructed including, in particular, the case of fermionic triplets in AdS_D space.

May 7, 14:0014:30  Meissner Krzysztof  Conformal Symmetry and the Standard Model The radiative breaking of conformal symmetry in the Standard Model with rightchiral neutrinos will be described. It naturally gives rise to an axionlike particle with couplings to Standard Model particles, in particular photons and gluons, that are entirely determined (and computable) via the conformal anomaly. Their smallness turns out to be directly related to the smallness of the masses of light neutrinos.

May 7, 14:3015:00  Ivanov Evgeny  Models of multiple M2 branes in N=3 harmonic superspace The AharonyBergmanJafferisMaldacena (ABJM) model describing multiple M2 branes is formulated in N=3, d=3 harmonic superspace, where it enjoys the manifest offshell N=3 supersymmetry. The surprisng features of this new superfield formulation are discussed and prespectives of using it for quantum calculations in the ABJMtype models are outlined.

May 7, 15:0015:30  Bandos Igor  SDiff gauge theories, BLG model and its N=8 superspace formulation We review the BLG (BaggerLambertGustavsson) model, which had been proposed to describe a low energy dynamics of multiple supermembrane system, with emphasis on its version with 3algebra realized as the algebra of Nambu brackets (NB). This NB BLG model possesses the infinite dimensional volume preserving diffeomorphism symmetry (SDiff3) and gives an example of N=8 supersymmetric SDiff3 gauge theory in d=3. We discuss the general properties of SDiff gauge theories and describe two superfield formulation of the NB BLG model. The onshell description in standard d=3 N=8 superspace is based on an SDiff3 covariant superembeddinglike equation imposed on octet of scalar superfield dependent, in addition, on coordinates of compact 3dimensional manifold M3. The offshell N=8 superfield formulation becomes possible in superspace completed by a set of constrained bosonic spinor coordinates, called the pure spinor superspace. We discuss the properties of this superspace, peculiar features of the pure spinor superspace action, and its specific in the case of infinite dimensional SDiff3 3algebra.

May 7, 16:0016:30  Krivonos Sergey  N=4 superconformal nparticle mechanics We revisit the superfield approach to onedimensional multiparticle systems with N=4 superconformal invariance. The requirement of a standard (flat) bosonic kinetic energy implies the existence of inertial (super)coordinates, which is nontrivial beyond three particles. We formulate the corresponding integrability conditions, whose solution directly yields the superpotential, the two prepotentials and the bosonic potential. The structure equations for the two prepotentials, including the WDVV equation, follow automatically. The general solution for translationinvariant threeparticle models is presented and illustrated with examples. For the fourparticle case, we take advantage of known WDVV solutions to construct a D_3 and a B_3 model, thus overcoming a previouslyfound barrier regarding the bosonic potential.

May 7, 16:3017:00  Fedoruk Sergey  Superconformal Calogero models as a gauged matrix mechanics Superextending gauged formulation of the bosonic nparticle Calogero model, we obtain new N=1, N=2 and N=4 superconformal nparticle Calogerotype systems. Bosonic sector of these systems describes either the standard Calogero model (in the cases of N=1 and N=2) or the U(2)spin Calogero model modified by a conformal potential for the centerofmass coordinate (in the N=4 case).

Adam Jiri, ANDREY Ladislav, Azcarraga Jose A. de , Šándor Ladislav, Šimák Vladislav, Šnobl Libor, Řídký Jan, Bandos Igor, Bíla Hynek, Bednář Miroslav, Beneš Petr, Bičák Jiří, Bohm Jan, Burdík Čestmír, Chýla Jiří, Cvach Jaroslav, De Rujula Alvaro, Dittrich Jaroslav, Doebner HeinzDietrich , Engelen Jos, Faddeev Ludwig, Fedoruk Sergey, Fiala Lukáš, Finger Michael, Finger Miroslav, Fischer Jan, Formánek Jiří, Furlan Paolo, Gazeau Jean Pierre, Hladký Jan, Hlavatý Ladislav, Hošek Jiří, Hořava Peter, Hořejší Jiří, Horzela Andrzej, Hubacek Zdenek, Ivanov Evgeny, Jenni Peter, Kapuscik Edward, Kerner Richard, Kolář Pavel, Kotecký Roman, Krivonos Sergey, Kundrát Vojtěch, Leitner Rupert, Lokajíček Miloš, Lukierski Jerzy, Meissner Krzysztof, Mickelsson Jouko, Navrátil Ondřej, Niederle Jiří, Nikitin Anatoly, Noga Milan, Olive David, Patera Jiri, Pospíšil Stanislav, Raeymaekers Joris, Rameš Jiří, RandjbarDaemi Seifallah, Reimer Petr, Schnabl Martin, Sergyeyev Artur, Sissakian Alexei, Smejkal Jaroslav, Smetana Adam, Sorokin Dmitri, Stuchlík Zdeněk, Tater Miloš, Todorov Ivan, Valkárová Alice, Vrba Václav, Wilhelm Ivan, Závada Petr, Zborovský Imrich, Znojil Miloslav Organizing committeeČ. Burdík (Chairman), M. Bednář, J. Fischer, L. Hlavatý, J. Hořejší, J. Hošek, R. Leitner, O. Navrátil, S. Pošta, M. Schnabl, V. Šimák, P. Závada.
International advisory committeeE. Ivanov (ChairmanDubna), J.A. de Azcarraga (Valencia), J. Dobeš (Prague), J. P. Gazeau (Paris), M. Havlíček (Prague), J. Chýla (Prague),R. Kerner (Paris), J. Lukierski (Wroclaw), J. Mickelsson (Stockholm), A. G. Nikitin (Kiev), D. Sternheimer (Keio and Bourgogne).
RegistrationPersons interested in participating are kindly asked to fill in the registration form.
AccommodationAcommodation directly in Villa Lanna or in the Academy Residence can be arranged via Organizing committee. Please inform us in advance since it can take some time to proceed booking. Conference email address is burdik@kmlinux.fjfi.cvut.cz.
There are many other possibilities for accommodation in
historical center of Prague.
See for example websites:
www.visitprague.cz,
www.hotelprag.info,
www.hotelsprague.cz
or
www.toprague.cz.
ProceedingsProceedings of this conference will be published in Acta Polytechnica. For rules how to prepare manuscripts see general guidelines for authors .
Travel and Tourist informationYou can reach Villa Lanna from the airport either by taxi or by public pransport (use public transport, direct bus No. 119, direction Dejvická, see this scheme;
take metro A to the Hradčanská station, Vila Lanna is located about 10 minutes walk from here; at night between 0105 a.m. you can use bus 510 and tram 51, see this scheme). You can download the map of Prague city center suitable for sightseeing here.
If you plan to use a taxi in Prague it is recommended to use yellow taxi AAA.
Contact
prof. Čestmír BurdíkDepartment of Mathematics
Faculty of Nuclear Sciences and Physical Engineering Czech Technical University
Trojanova 13, CZ120 00 Prague
Czech Republic
Phone: (+420) 224 358 549
FAX (+420) 224 918 643
Email: burdik@kmlinux.fjfi.cvut.cz
WWW: http://www.km.fjfi.cvut.cz/conference/st2009/
