Speaker
Giuseppe Vitiello
(University of Salerno, Italy)
Description
TIME-REVERSAL, LOOP-ANTILOOP SYMMETRY
AND THE BESSEL EQUATION
GIUSEPPE VITIELLO
Dipartimento di Fisica “E. R. Caianiello”
Università di Salerno, 84080 Salerno, Italy and
INFN, Gruppo Collegato di Salerno, Italy
vitiello@sa.infn.it
The Bessel equation is shown to be equivalent, under suitable transformations, to a
system of two damped/amplified parametric oscillator equations, which have been used in the study of inflationary models of the Universe, thermal field theories and Chern-Simons gauge theories. The breakdown of loop-antiloop symmetry due to group contraction manifests itself as breaking of time-reversal symmetry. The relation between some infinite dimensional loop-algebras, such as the Virasoro-like algebra, and the Euclidean algebras e(2) and e(3) is also discussed.
Author
Giuseppe Vitiello
(University of Salerno, Italy)
