We review the canonical theory for perfect fluids in Euler's and Lagrange's formulations. The
theory is related to a description of extended structures in higher dimensions. Internal …

Following the discovery of spacetime anomaly cancellation in 1984 [1], string theory has
undergone rapid development in several directions. The early hope of making direct contact …

The first part is an introduction to conformal field theory and string perturbation theory. The
second part deals with the search for a deeper answer to the question posed in the title …

String theories with two-dimensional space-time target spaces are characterized by the
existence of a “ground ring” of operators of spin (0, 0). By understanding this ring, one can …

We present field theoretical descriptions of massless (2+ 1) dimensional nonrelativistic
fermions in an external magnetic field, in terms of a fermionic and bosonic second quantized …

We obtain integral representations for the wave functions of Calogero-type systems,
corresponding to the finite-dimensional Lie algebras, using exact evaluation of the path …

We study the large-N limit of the Itzykson-Zuber integral and show that the leading term is
given by the exponent of an action functional for the complex inviscid Burgers (Hopf) …

The orbifold CFT dual to string theory on AdS3× S3 allows a construction of gravitational
actions based on collective field techniques. We describe a fundamental role played by a …

A careful treatment of closed string BRST cohomology shows that there are more discrete
states and associated symmetries in D= 2 string theory than has been recognized hitherto …

On the basis of the collective field method, we analyze the Calogero-Sutherland model
(CSM) and the Selberg-Aomoto integral, which defines, in particular case, the partition …