Universidade Lusófona, Lisbon 2224 September 2008
There will be morning and afternoon talks, and the venue is in the Auditório Vitor de SÁ (in the university library)
Schedule


Time  Monday, 22nd  Tuesday, 23rd  Wednesday, 24th 

09:0009:45  Registration  
09:4510:00  Welcome speech  
10:0011:00  Bertolami  Freidel  Madore 
11:0011:30  Coffee  
11:3012:30  Steinacker  Krasnov  MenaMarugan 
12:3014:00  Lunch  
14:0015:00  Crane  Nelson  Lewandowski 
15:0015:30  Cofee  
15:3016:00  Zet  Sazdovic  Martinetii 
16:0016:30  DaweMartins  Hahn  TBA 
16:3017:30  TBA  TBA  TBA 
20:0023:00  Workshop dinner 
T.B.A = To be announced
Abstracts


Paper  Author  Abstract 
Noncommutative quantum cosmology  Orfeu Bertolam Department of Physics, Instituto Superior Técnico, Lisbon, Portugal 
We discuss the main features of a phase space noncommutative model in the context of a minisupesrpace KantowskiSachs geometry. 
Emergent space and gravity from YangMills matrix models  Harold Steinacker Department of Physics, Vienna, Austria 
A mechanism for gravity emerging from YangMillstype matrix models is exhibited. The matrix model desribes general noncommutative spaces, which in the semiclassical limit aquire an effective metric depending on the dynamical Poisson structure and an embedding metric. This leads to an emergent gravity intimately related to noncommutativity of space, absorbing the "wouldbe U(1) gauge fields". The induced gravitational action captures the UV/IR mixing of NC gauge theory. The quantization is discussed qualitatively, which singles out the IKKT model as a prime candidate for a quantum theory of gravity coupled to matter. A mechanism for avoiding the cosmological constant problem is identified. 
Model categories and quantum Gravity  Louis Krane Department of Mathematics, Kansas State University, U.S.A. 

U(2) gauge theory on noncommutative geometry Abstract: 
Gheorghe Zet Technical University of Iasi, Romania 
We develop a model of gauge theory with U(2) as local symmetry group over a noncommutative spacetime. The integral of the action is written considering the U(2) gauge fields coupled with a Higgs multiplet. The gauge fields are calculated up to the second order in the noncommutativity parameter using the equations of motion and SeibergWitten map. The solutions are determined order by order supposing that in zero  th order they have a general relativistic analog form. The Wu Yang ansatz for the gauge fields is used to solve the field equations. Some comments on the quantization of the electrical and magnetical charges are also given, with a comparison between commutative and noncommutative cases. 
A question of quantum gravity on the “internal space” of the noncommutative standard model  Rachel Martins Department of Mathematics, Instituto Superior Técnico, Lisbon, Portugal 
We suggest that towards a quantization of gravity on a noncommutative manifold, Connes's tangent groupoid and the noncommutative standard model have complementary generalisation questions. Work in progress involves a categorification of real spectral triples using Fell bundle C*categories to allow us to make and apply a generalisation of the tangent groupoid to these noncommutative manifolds. 
Laurent Freidel Perimeter Institute for Theoretical Physics, Waterloo, Canada. 

Plebanski's selfdual gravity without the simplicity constraints  Kirill Krasnov Mathematical Sciences, University of Nottingham, U.K. 
As is wellknown, in Plebanski's selfdual formulation general relativity is just the SO(3) BF theory supplemented with the socalled simplicity (or metricity) constraints for the twoform B field. Its main dynamical equation states that the curvature of the Bcompatible SO(3) connection is selfdual, with the notion of selfduality being defined by the Bfield. I describe what happens if one drops the metricity constraints on the B field, keeping only the requirement that the curvature of the Bcompatible connection is selfdual. It turns out that the theory one obtains is still a gravity theory, with still just two propagating degrees of freedom as in GR. It could even be that it is quantizable via spin foams, on which I will make some speculative remarks at the end of my talk. 
A quantum Goldman bracket (commutator) for intersecting paths on surfaces  Jeanette Nelson Università and INFN Torino, Italy 
'll discuss a quantum Goldman bracket (commutator) for intersecting loops on surfaces, which arose in the context of (2+1)dimensional gravity. The construction uses holonomies of constant connections which generate a $q$deformed representation of the fundamental group. I'll show how signed area phases relate the quantum matrices assigned to homotopic loops, and explain some features of the resulting quantum geometry. 
Type I superstring theory in form of open type II B one, with appropriate choice of boundary conditions  Branislav Sazdovic Institute of Physics, Belgrade, Serbia 
'll discuss a quantum Goldman bracket (commutator) for intersecting loops on surfaces, which arose in the context of (2+1)dimensional gravity. The construction uses holonomies of constant connections which generate a $q$deformed representation of the fundamental group. I'll show how signed area phases relate the quantum matrices assigned to homotopic loops, and explain some features of the resulting quantum geometry. 
Atle Hahn Mathematical Physics Group, University of Lisbon, Portugal 

The noncommutative extension of the Schwarzschild metric based on the frame formalism  John Madore Université de ParisSud, France 

Hybrid quantum cosmology combining loop and Fock quantizations  Guillermo Mena Marugan Instituto de Estructura de la Materia, Madrid, Spain 
As a necessary step towards the extraction of realistic results from loop quantum cosmology, we analyze the physical consequences of including inhomogeneities in loop quantum cosmology. We consider in detail the quantization of a gravitational model in vacuo which possesses local degrees of freedom, namely, the linearly polarized Gowdy cosmologies with the spatial topology of a threetorus. We carry out a hybrid quantization of this model which combines loop and Fock techniques. We discuss the main aspects and results of this hybrid quantization, which include the resolution of the cosmological singularity, the polymeric quantization of the internal time, a rigorous definition of the quantum constraints and the construction of their explicit solutions, the Hilbert structure of the physical states, and the recovery of a conventional Fock quantization for the inhomogeneities. 
Jerzy Lewandowski Institute of Theoretical Physics, Goettingen, Germany 

The standard model in noncommutative geometry: extradimension from Phythagoras theorem  Pierre Martinetti Institute of Theoretical Physics, Goettingen, Germany 
We shall give an overview of Connes' description of the standard model within the framework of noncommutative geometry, emphasizing the metric aspect of the theory. Especially we shall focus on the metric interpretation of gauge fields, and underline the link with other distances defined by connections. As a consequence, we ought to discuss the notion of extradimension in this model and see how, from the metric point of view, "some" notion of extradimension may arise as a consequence of Pythagoras relation for Dirac operators." 
John Madore
School of Mathematical Sciences, University of Nottingham, U.K.
jamadore@gmail.com
Kirill Krasnov
School of mathematical Sciences, University of Nottingham, U.K.
kirill.krasnov@nottingham.ac.uk
Louis Crane
Department of Mathematics, Kansas State University, U.S.A.
lcrane@ksu.edu
Laurent Freidel
Perimeter Institute for Theoretical Physics, Waterloo, Canada
lfreidel@perimeterinstitute.ca
Jerzy Lewnadowski
Institute for Theoretical Physics, Warsaw, Plenad
lewand@fuw.edu.pl
Jeanette Nelson
Dipartimento di Fisica Teorica, Università degli Studi di Torino, Italy
nelson@to.infn.it
Harold Steinacker
Fakultat fur Physik, Universitat Wien and Erwin Schrodinger International Institute for Mathematical Physics, Austria
harold.steinacker@univie.ac.at
Guillermo MenaMarugán
Instituto de Estructura de la Materia, Madrid, Spain
mena@iem.cfmac.csic.es
Pierre Martinetti
Institut fur Theoretische Physik, GeorgAugust Universitat, Goettingen, Germany
martinetti@theorie.physik.unigoettingen.de
Deadline for registration: September, 16th
There will be a registration fee of 30 Euros for the participants who wish to go to the workshop dinner.
If you wish to register in the Second Workshop on Quantum Gravity and Noncommutative Geometry, please an email to:
With the following infos:
If you wish to present a talk, please send it also to:
With the following infos:
Roger Francis Picken
Mathematics Department, Instituto Superior Técnico
(rpicken@math.ist.utl.pt)
Aleksandar Mikovic
Mathematics Department, Universidade Lusófona
(amikovic@ulusofona.pt)
João Nuno Prata
Mathematics Department, Universidade Lusófona
(joao.prata@mail.telepac.pt)
Nuno Costa Dias
Mathematics Department, Universidade Lusófona
(ncdias@meo.pt)
André Fonseca
Mathematics Department, Universidade Lusófona
(andref@ptmat.fc.ul.pt)
We are at your disposal for any further inquiries.
Postal:
ULHT  Universidade Lusófona de Humanidades e Tecnologias
Departamento de Matemática
Av. do Campo Grande, 376
1749024 Lisboa
Email:
Roger Picken (rpicken@math.ist.utl.pt) Aleksandar Mikovic (amikovic@ulusofona.pt) João Prata (joao.prata@mail.telepac.pt) Nuno Dias (ncdias@meo.pt) André Fonseca (andref@ptmat.fc.ul.pt)
Telephones:
(+351) 21 751 5500 ext. 2158 (A. Mikovic, Office)
(+351) 96 885 96 83 (A. Mikovic, Mobile)
(+351) 91 455 66 44 (J.N. Prata, Mobile)
Telefax:
(+351) 21 751 55 12
Lusofona University is situated on the eastern side of the Campo Grande park, at a walking distance from the Campo Grande subway(metro) station (yellow and green line).
Street address: Avenida do Campo Grande, 376.
Concerning accommodation, a discount will be given to the participants at the following hotels:
NH Campo Grande (****)
Av. do Campo Grande, 7
Metro station: “Entre Campos” (yellow line)
Tel: (+351) 21 791 7600
Hotel Alif (***)
Campo Pequeno, 51
Metro station: “Campo Pequeno” (yellow line)
Tel: (+351) 21 782 6210
Rooms will be also available at the Lusofona University Residence in the Av. 5 de Outubro
Metro station: “Entre Campos” (yellow line)
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