Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

Proceedings of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory (June 22−24, 2006, Budapest, Hungary)

The Guest Editors for this special issue are János Balog and László Fehér

The present collection contains 21 papers by participants of the O'Raifeartaigh Symposium on Non-Perturbative and Symmetry Methods in Field Theory, held at Budapest, June 22−24, 2006. The symposium served as a venue for an exchange of ideas on recent developments in field theory and related subjects, and it also enhanced the 'coherence' of a 'virtual community' of researchers who had direct or indirect contact with Lochlainn O'Raifeartaigh during their careers. Indeed, about half of the 50 registered participants were drawn from collaborators, among them several former postdoctoral scholars at the Dublin Institute for Advanced Studies, and close colleagues of Professor O'Raifeartaigh. Together with the presence of two of his sons, Conor and Cormac, this contributed especially to a general warm feeling that dominated the meeting (the effective action of the hot and humid weather on the participants was obviously negligible in comparison).

Being ourselves former postdocs of Lochlainn, we wish to believe that he would have liked the meeting. The appreciation of his eminent scientific contributions, and the lasting imprints made by his outstandingly human, warm personality were apparent throughout the conference. As was made explicit in several talks, many of us still miss him very much.

This is not the place to survey the work of Lochlainn O'Raifeartaigh (1933−2000), a brief account can be found at the web page maintained at Dublin Institute for Advanced Studies http://www.stp.dias.ie/Lochlainn/lochlainn.html. The best way to remember a scientist is to study his work. Having this in mind, the list of publications of Lochlainn O'Raifeartaigh is included here as a complement.

The slides of most of the 27 talks that were delivered in Budapest (out of which 15 served as the basis of reports published in this collection), and further auxiliary material can be viewed at the web page of the conference http://www.kfki.hu/~lor2006, which will be kept available for the coming years.

Papers in this Issue:

Hidden Symmetries of Stochastic Models
Boyka Aneva
SIGMA 3 (2007), 068, 12 pages   [ abs   pdf   ps ]

Charges in Gauge Theories
David McMullan
SIGMA 3 (2007), 035,  8 pages   [ abs   pdf   ps ]

Quantum Deformations and Superintegrable Motions on Spaces with Variable Curvature
Orlando Ragnisco, Ángel Ballesteros, Francisco J. Herranz and Fabio Musso
SIGMA 3 (2007), 026, 20 pages   [ abs   pdf   ps ]

Lattice Field Theory with the Sign Problem and the Maximum Entropy Method
Masahiro Imachi, Yasuhiko Shinno and Hiroshi Yoneyama
SIGMA 3 (2007), 018,  7 pages   [ abs   pdf   ps ]

Boundary Liouville Theory: Hamiltonian Description and Quantization
Harald Dorn and George Jorjadze
SIGMA 3 (2007), 012, 18 pages   [ abs   pdf   ps ]

Finite-Temperature Form Factors: a Review
Benjamin Doyon
SIGMA 3 (2007), 011, 37 pages   [ abs   pdf   ps ]

Modular Symmetry and Fractional Charges in N = 2 Supersymmetric Yang-Mills and the Quantum Hall Effect
Brian P. Dolan
SIGMA 3 (2007), 010, 31 pages   [ abs   pdf   ps ]

The Virasoro Algebra and Some Exceptional Lie and Finite Groups
Michael P. Tuite
SIGMA 3 (2007), 008, 13 pages   [ abs   pdf   ps ]

Generalized Potts-Models and their Relevance for Gauge Theories
Andreas Wipf, Thomas Heinzl, Tobias Kaestner and Christian Wozar
SIGMA 3 (2007), 006, 14 pages   [ abs   pdf   ps ]

Non-Local Finite-Size Effects in the Dimer Model
Nickolay Sh. Izmailian, Vyatcheslav B. Priezzhev and Philippe Ruelle
SIGMA 3 (2007), 001, 12 pages   [ abs   pdf   ps ]

Noncommutative Geometry: Fuzzy Spaces, the Groenewold-Moyal Plane
Aiyalam P. Balachandran and Babar Ahmed Qureshi
SIGMA 2 (2006), 094,  9 pages   [ abs   pdf   ps ]

Dynamical R Matrices of Elliptic Quantum Groups and Connection Matrices for the q-KZ Equations
Hitoshi Konno
SIGMA 2 (2006), 091, 25 pages   [ abs   pdf   ps ]

Non-Commutative Mechanics in Mathematical & in Condensed Matter Physics
Peter A. Horváthy
SIGMA 2 (2006), 090,  9 pages   [ abs   pdf   ps ]

Einstein-Riemann Gravity on Deformed Spaces
Julius Wess
SIGMA 2 (2006), 089,  9 pages   [ abs   pdf   ps ]

Para-Grassmann Variables and Coherent States
Daniel C. Cabra, Enrique F. Moreno and Adrian Tanasă
SIGMA 2 (2006), 087,  8 pages   [ abs   pdf   ps ]

Quantum Gravity as a Broken Symmetry Phase of a BF Theory
Aleksandar Miković
SIGMA 2 (2006), 086,  5 pages   [ abs   pdf   ps ]

Fermion on Curved Spaces, Symmetries, and Quantum Anomalies
Mihai Visinescu
SIGMA 2 (2006), 083, 16 pages   [ abs   pdf   ps ]

The Form Factor Program: a Review and New Results − the Nested SU(N) Off-Shell Bethe Ansatz
Hratchya M. Babujian, Angela Foerster and Michael Karowski
SIGMA 2 (2006), 082, 16 pages   [ abs   pdf   ps ]

Quantum Field Theory in a Non-Commutative Space: Theoretical Predictions and Numerical Results on the Fuzzy Sphere
Marco Panero
SIGMA 2 (2006), 081, 14 pages   [ abs   pdf   ps ]

u-Deformed WZW Model and Its Gauging
Ctirad Klimčík
SIGMA 2 (2006), 079,  4 pages   [ abs   pdf   ps ]

On a Negative Flow of the AKNS Hierarchy and Its Relation to a Two-Component Camassa-Holm Equation
Henrik Aratyn, Jose Francisco Gomes and Abraham H. Zimerman
SIGMA 2 (2006), 070, 12 pages   [ abs   pdf   ps ]