- A. Cappelli asks 2M for inviting R. Guida (Saclay) for a
  month for collaboration on the c-theorem in four
  dimensions

- S. Ruffo asks 3M for inviting F. Leyvraz (UNAM, Mexico)
  for a month for collaboration on the interplay between
  dynamics and equilibrium statistics


- G. D'appollonio asks 2M for participating to the program
  "Supergravity, Superstrings and M-theory", 
  Inst. H. Poincare', Paris

- N. Magnoli asks 1M for inviting R.Guida (Saclay) for
  collaboration over the c-theorem in four dimensions

ADDITIONAL RESEARCHER
=====================
Franco Bagnoli, ``tecnico laureato'' of the Department of Engineering,
will candidate to join again the group in 2001; he has been in the group
for several years but was absent during the year 2000.




 FIRENZE FI11/2001 PROGRAM
 =========================

 - A. Cappelli, L. Georgiev and I. Todorov;
   A. Cappelli and G.R. Zemba; 
 ``Conformal field theories for the quantum Hall effect''
   Develop the conformal field theories suitable for describing the 
   non-Abelian Hall states, such as the parafermion Hall states.
   Explore the physical consequences of the previously proposed
   W-infinity symmetry.

 - A.Cappelli, G. D'Appollonio and F. Colomo
 ``Boundary conformal field theories''
   We are studying the RG flow of the boundary entropy ``log(g)''
   and the proof that it monotonically decreases.
   We are trying to extend the Coulomb Gas formalism to boundary states.

 - A. Cappelli and G. D'Appollonio
 ``Trace anomaly in any dimension''
   We computed the trace anomaly for free bosonic, fermionic and 
   anti-symmetric fields in any dimension and discussed its use
   as a measure of degrees of freedom for a putative c-theorem.

 - C. Angelantonj, I. Antoniadis, G. D'Appollonio, E. Dudas and A. Sagnotti.
 ``Susy breaking in open string theory models''
   We studied the susy breaking using the Scherk-Schwarz mechanism
   and found the new phenomena of extended susy in the spectrum of
   branes orthogonal to the breaking directions.
   We also constructed models containing branes and anti-branes
   in which susy is broken on the anti-brane but is preserved in the bulk.

 - M. Pettini, R. Franzosi, L. Casetti, L. Spinelli, R. Gatto, M. Cerutti-Sola
 ``Phase transitions and the topology changes in configuration space''
   The equi-potential sub-manifolds of the configuration space of an 
   Hamiltonian system undergo a topology change in correspondence of a 
   phase transition. We have studied an analytic model for this phenomenon 
   in the XY model within the mean field approximation; we also computed 
   numerically the Euler characteristic of equi-potential surfaces.

 - S. Ruffo, V. Latora and A. Rapisarda;
 ``Dynamics near the phase transition''
   We computed the Lyapunov spectrum and the Kolmogorov-Sinai entropy
   for a model of classical coupled rotors.  We proved the existence
   of a super-diffusive single-particle motion.

-  S. Ruffo, A. Torcini, M. Nitti and M. Antoni;
   S. Ruffo, J. de Luca and A.J. Lichtenberg; S. Ruffo e A. Pikovsky. 
 ``Dynamics and statistics in certain statistical models''
   We have proposed that the phase transition of the Kuramoto model
   of coupled rotors is a Hopf bifurcation with noise.
   We also presented a theory of relaxation to the equilibrium for the
   Fermi-Pasta-Ulam model in the low-energy limit.
   Finally, we introduced a new algorithm for the numerical integration
   of reaction-diffusion equations.




 PREPRINTS
 ==========
- A. Cappelli, G. D'Appollonio, 
  ``On the Trace Anomaly as a Measure of Degrees of Freedom'',
  preprint  DFF 354/05/2000 , hep-th/0005155

- L. Casetti, M. Pettini and E.G.D. Cohen
  ``Geometric approach to Hamiltonian dynamics and statistical mechanics'',
  Physics Reports, (2000) in press.

- M. Cerruti-Sola, M. Pettini and E.G.D. Cohen
  ``Phase space geometry and Stochasticity Thresholds in Hamiltonian 
  dynamics'', Phys. Rev. E, (2000) submitted

- V. Latora, A. Rapisarda and S. Ruffo: 
 "Chaos in the thermodynamic limit", Progress of Theoretical Physics 
  Supplement, accepted (2000).

- T. Dauxois, P. Holdsworth and S. Ruffo:
  "Violation of ensemble equivalence in the antiferromagnetic mean-field 
  XY model", Europ. Phys. J. B, accepted (2000), cond-mat/0002005.

- M. Antoni, H. Hinrichsen and S. Ruffo: 
 "On the microcanonical solution of a system of fully coupled particles", 
  Chaos, solitons and fractals, accepted (2000). 





 PROCEEDINGS
 ===========

- A. Cappelli, L. S. Georgiev, I. T. Todorov, 
  ``Coset Construction of Parafermionic Hall States'',
  Proceedings of ``Supersymmetries and Quantum Symmetries'', SQS'99, 
  July 1999, Dubna, and of the ``6th Wigner Symposium'', Istambul, August 1999

 -M. Antoni, S. Ruffo and A. Torcini: 
 "Dynamics and statistics of simple models with infinite-range attractive 
  interaction", in ICRA Workshop ``The Chaotic Universe'', Rome-Pescara, 
  February 1999, World Scientific, in press, V. Gurzadyan ed..

GENOVA FI11/2001 PROGRAM
========================

- N. Magnoli, R. Guida and G. Watts
- N. Magnoli, M. Caselle and P. Grinza
``Study of statistical models near criticality by using field theory''
Study of the equation of state of the Ising model in two dimensions;
comparison of analytic and numerical correlation functions in a magnetic field.

- N. Magnoli, A. Cappelli and R. Guida
``Renormalization of the stress tensor in four dimensions and extension of 
  the c-theorem''
  We found the general form of the stress-tensor 3-p. function,
  we renormalized it and obtained the relation between finite physical
  amplitudes and trace anomaly coefficients (relevant for the putative
  c-theorem).

- N. Magnoli, K. Konishi, N. Maggiore and B. Carlino
``RG flow in the supersymmetric gauge theories''
Try to find the exact beta function from the low-energy solution by Seiberg 
and Witten.

ADDITIONAL RESEARCHER
=====================
Starting from November 2000, Gesualdo Delfino will join this group 
as SISSA post-doc.



TRIESTE FI11/2001 PROGRAM
=========================

- G. Mussardo and collaborators.
``Supersymmetry in Statistical Models''
  Exact calculation of the matrix elements and correlators of order
  parameters in statistical models which present supersymmetry in
  their continuum limit.


``Non-integrable Quantum Field Theory''
  Study of the spectrum of a statistical model for a generic point 
  of a phase diagram; applications of the double Sine Gordon model.


``Random System and multifractality effects''
  Study Field Theory approaches to random systems.


``Boundary Field Theory and surface phase diagrams''
  Study of the physical effects in field theories and strongly correlated
  systems induced by the boundary conditions imposed on the order parameters.


``Quantum Field Theory at Finite Temperature''
  Study of finite temperature effects in physical systems 
  described by quantum field theories

``Universal ratios of the Renormalization Group''


``Geometrical models of percolation and self-avoiding walks 
   as peculiar limits of quantum field theories''.



PREPRINTS
=========

- D. Fioravanti, G. Mussardo, P. Simon 
  UNIVERSAL RATIOS IN THE 2-D TRICRITICAL ISING MODEL.
  preprint hep-th/0002225, to appear in Phys. Rev. Lett. 

- D. Fioravanti, M. Stanishkov 
  HIDDEN VIRASORO SYMMETRY OF (SOLITON SOLUTIONS OF) THE SINE GORDON THEORY.
  prerpint hep-th/0005158, to appear in Nucl. Phys. B 

- D. Fioravanti, M. Stanishkov
  HIDDEN LOCAL, QUASILOCAL AND NONLOCAL SYMMETRIES IN INTEGRABLE SYSTEMS.
  preprint hep-th/0001151